{ "nodes": [ { "id": "Coalesce", "title": "R180: Haar absorption of every fixed shift; p_L→1", "original": "R180: Haar-поглощение каждого фиксированного сдвига; p_L→1", "status": "internal", "owner": "project", "domain": "dynamics", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#Coalesce", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "Support", "title": "R181: the boundary lies in one closed Haar-null set S", "original": "R181: граница лежит в одном замкнутом Haar-нулевом S", "status": "internal", "owner": "project", "domain": "dynamics", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#Support", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "Uniform", "title": "R181: upper Banach density of the boundary is 0 — all long intervals", "original": "R181: верхняя банахова плотность границы 0 — все длинные интервалы", "status": "internal", "owner": "project", "domain": "dynamics", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#Uniform", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "Blocks", "title": "R181: synchronous merging of every fixed finite block with density 1", "original": "R181: синхронное слияние каждого фиксированного конечного блока с плотностью 1", "status": "internal", "owner": "project", "domain": "dynamics", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#Blocks", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "Time", "title": "R181: encounters up to any prescribed h(n)→∞ have natural density 1, for T and C", "original": "R181: встречи до любого заданного h(n)→∞ с натуральной плотностью 1, T и C", "status": "internal", "owner": "project", "domain": "dynamics", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#Time", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "Heavy", "title": "R181: 1−p_L ≥ 1/√(2L+1); direct majorants are not summable", "original": "R181: 1−p_L ≥ 1/√(2L+1); прямые мажоранты несуммируемы", "status": "internal", "owner": "project", "domain": "dynamics", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#Heavy", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "Return", "title": "R182: tail τ−ν₂(d) ≤32√(log₂(t+2)/(t+1))", "original": "R182: хвост τ−ν₂(d) ≤32√(log₂(t+2)/(t+1))", "status": "internal", "owner": "project", "domain": "dynamics", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#Return", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "Reward", "title": "R182: finite expected sum 1+|a_j|^(1/32) up to absorption", "original": "R182: конечная ожидаемая сумма 1+|a_j|^(1/32) до поглощения", "status": "internal", "owner": "project", "domain": "dynamics", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#Reward", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "Moments", "title": "R182: Eσ_d^r is finite exactly for 00; equivalence only", "original": "R183: достижение 1 ⇔ liminf V_k>0; только эквивалентность", "status": "internal", "owner": "project", "domain": "dynamics", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#CriterionV", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "PositiveV", "title": "Prove liminf V_k>0 for every natural n — open", "original": "Доказать liminf V_k>0 для каждого натурального n — открыто", "status": "open", "owner": "project", "domain": "dynamics", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#PositiveV", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "FixedH", "title": "R184: affine contraction; the only computable H≥0", "original": "R184: аффинное сжатие; единственная вычислимая H≥0", "status": "internal", "owner": "project", "domain": "dynamics", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#FixedH", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "CriterionH", "title": "R184: H(n)>0 ⇔ n reaches 1; equivalence only", "original": "R184: H(n)>0 ⇔ n достигает 1; только эквивалентность", "status": "internal", "owner": "project", "domain": "dynamics", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#CriterionH", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "RVBarrier", "title": "R184: finitely residual regularly varying h are excluded", "original": "R184: конечные остаточные регулярно меняющиеся h исключены", "status": "internal", "owner": "project", "domain": "dynamics", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#RVBarrier", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "PowerBarrier", "title": "R184: a common infimum gap is impossible; critical error in old iteration 1", "original": "R184: общий inf-зазор невозможен; критическая ошибка старой итерации 1", "status": "internal", "owner": "project", "domain": "dynamics", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#PowerBarrier", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "Subcertificate", "title": "R184: a bounded h>0 with h(n)≤a(n)h(Tn) is sufficient", "original": "R184: ограниченная h>0 с h(n)≤a(n)h(Tn) достаточна", "status": "internal", "owner": "project", "domain": "dynamics", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#Subcertificate", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "OddFlow", "title": "R185: exact odd equation U; all even runs included", "original": "R185: точное нечётное уравнение U; все чётные серии учтены", "status": "internal", "owner": "project", "domain": "dynamics", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#OddFlow", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "OddError", "title": "R185: new critical error ≤βδ^L→0", "original": "R185: новая критическая ошибка ≤βδ^L→0", "status": "internal", "owner": "project", "domain": "dynamics", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#OddError", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "OddGap", "title": "R185: explicit convergent odd chain with U(n_j)→0", "original": "R185: явная сходящаяся нечётная цепь с U(n_j)→0", "status": "internal", "owner": "project", "domain": "dynamics", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#OddGap", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "PartialOdd", "title": "R185: computable nonnegative subsolution; zero at convergent 3", "original": "R185: вычислимое неотрицательное субрешение; нуль на сходящемся 3", "status": "internal", "owner": "project", "domain": "dynamics", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#PartialOdd", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "NormalForm", "title": "R185: saturation h≤h↑≤H; full class with rational coefficients", "original": "R185: насыщение h≤h↑≤H; полный класс с рациональными коэффициентами", "status": "internal", "owner": "project", "domain": "dynamics", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#NormalForm", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "RationalTail", "title": "R185: over odd starts liminf R=0, limsup R=3/4", "original": "R185: по нечётным стартам liminf R=0, limsup R=3/4", "status": "internal", "owner": "project", "domain": "coding", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#RationalTail", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "BackLayer", "title": "R185: full reverse layer and 4n+1 lift for odd values; sign preserved", "original": "R185: полный обратный слой и подъём 4n+1 для нечётных; знак сохраняется", "status": "internal", "owner": "project", "domain": "dynamics", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#BackLayer", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "DyadicReturn", "title": "R186: two finite returns in every dyadic class, growth and contraction", "original": "R186: два конечных возврата в любой двоичный класс, рост и сжатие", "status": "internal", "owner": "project", "domain": "dynamics", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#DyadicReturn", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "LocalRV", "title": "R186: regular asymptotic h on one class is impossible, without boundedness", "original": "R186: регулярная асимптотика h на одном классе невозможна, без ограниченности", "status": "internal", "owner": "project", "domain": "dynamics", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#LocalRV", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "RunProfile", "title": "R186: regular profiles by layers ν₂(n+1) are excluded", "original": "R186: регулярные профили по слоям ν₂(n+1) исключены", "status": "internal", "owner": "project", "domain": "dynamics", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#RunProfile", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "CompletedWords", "title": "R187: known convergent completions of every finite word", "original": "R187: известные сходящиеся завершения каждого конечного слова", "status": "internal", "owner": "project", "domain": "coding", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#CompletedWords", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "CylinderEnv", "title": "R187: exact Q_w; in every class limsup R=(3/4)^s, liminf R=0", "original": "R187: точная Q_w; на каждом классе limsup R=(3/4)^s, liminf R=0", "status": "internal", "owner": "project", "domain": "dynamics", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#CylinderEnv", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "PuncturedR", "title": "R187: punctured dyadic limit R=0 at every natural m", "original": "R187: проколотый двоичный предел R=0 у каждого натурального m", "status": "internal", "owner": "project", "domain": "dynamics", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#PuncturedR", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "NearOne", "title": "R187: explicit good starts→1 dyadically, R→0 when R1=1", "original": "R187: явные хорошие старты→1 двоично, R→0 при R1=1", "status": "internal", "owner": "project", "domain": "dynamics", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#NearOne", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "PositiveR", "title": "Prove R(n)>0 for all natural n — open", "original": "Доказать R(n)>0 для всех натуральных n — открыто", "status": "open", "owner": "project", "domain": "dynamics", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#PositiveR", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "PositiveOdd", "title": "Construct 00 for all n or construct a sufficient h — open", "original": "Доказать H(n)>0 для всех n или построить достаточную h — открыто", "status": "open", "owner": "project", "domain": "dynamics", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#PositiveH", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "Trace", "title": "Exclude nonzero values of the exact boundary on S∩N — open", "original": "Исключить ненулевые значения точной границы на S∩N — открыто", "status": "open", "owner": "project", "domain": "dynamics", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#Trace", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "Pair", "title": "Positive density of a nonempty boundary — unproved", "original": "Положительная плотность непустой границы — не доказана", "status": "open", "owner": "project", "domain": "dynamics", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#Pair", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "PairCriterion", "title": "Rare boundary + positive density of a nonempty boundary imply constancy", "original": "Редкая граница + положительная плотность непустой границы дают постоянство", "status": "internal", "owner": "project", "domain": "dynamics", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#PairCriterion", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "Dini", "title": "Summability of the boundary itself — unproved", "original": "Суммируемость самой границы — не доказана", "status": "open", "owner": "project", "domain": "dynamics", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#Dini", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "Profile", "title": "Strong limiting profile — not constructed", "original": "Сильный предельный профиль — не построен", "status": "open", "owner": "project", "domain": "dynamics", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#Profile", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "OldCriteria", "title": "Earlier Dini/profile criteria use external PD", "original": "Прежние Dini/профильные критерии используют внешний PD", "status": "internal", "owner": "project", "domain": "dynamics", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#OldCriteria", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "Descent", "title": "Descent below every odd n>1 — open", "original": "Спуск ниже каждого нечётного n>1 — открыт", "status": "open", "owner": "project", "domain": "dynamics", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#Descent", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "MahlerIrr", "title": "M1: P(2^q/3^s) is irrational in Q₂, q≥1, 0≤s≤q", "original": "M1: P(2^q/3^s) иррационально в Q₂, q≥1, 0≤s≤q", "status": "internal", "owner": "project", "domain": "coding", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#MahlerIrr", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "CZKnown", "title": "Corvaja–Zannier 2002: via 1/P and (1−z)D it covers M1–M2 values", "original": "Corvaja–Zannier2002: через 1/P и (1−z)D покрывает значения M1–M2", "status": "internal", "owner": "other", "domain": "literature", "author": "Published input / project annotation", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#CZKnown", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "TMExcluded", "title": "M1: exact Thue–Morse tail class from two equal blocks excluded", "original": "M1: точный класс хвостов Туэ–Морса из двух равных блоков исключён", "status": "internal", "owner": "project", "domain": "dynamics", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#TMExcluded", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "OtherCodes", "title": "Exclude the remaining bad codes of positive integers — open", "original": "Исключить остальные плохие коды положительных целых — открыто", "status": "open", "owner": "project", "domain": "coding", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#OtherCodes", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "DValue", "title": "M2: D(2^q/3^s) is irrational in Q₂, q≥1, 0≤s≤q", "original": "M2: D(2^q/3^s) иррационально в Q₂, q≥1, 0≤s≤q", "status": "internal", "owner": "project", "domain": "dynamics", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#DValue", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "PDExcluded", "title": "M2: block tails by period doubling are excluded", "original": "M2: хвосты блоков по удвоению периода исключены", "status": "internal", "owner": "project", "domain": "dynamics", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#PDExcluded", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "TMMasks", "title": "M2: shifts, finite changes, and XOR masks of period 2^h", "original": "M2: сдвиги, конечные изменения и XOR-маски периода 2^h", "status": "internal", "owner": "project", "domain": "dynamics", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#TMMasks", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "HeightDomain", "title": "M2: sufficient domain max(a,b)<2^(2v₂(a)) for P(a/b)", "original": "M2: достаточная область max(a,b)<2^(2v₂(a)) для P(a/b)", "status": "internal", "owner": "project", "domain": "dynamics", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#HeightDomain", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "MorphicCriterion", "title": "M3: h(TM) start is rational ⇔ uv=vu; any nonempty u,v", "original": "M3: старт h(TM) рационален ⇔ uv=vu; любые непустые u,v", "status": "internal", "owner": "project", "domain": "coding", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#MorphicCriterion", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "PDContraction", "title": "M4: 3^S<2^Q ⇒ two fixed grouped blocks contract", "original": "M4: 3^S<2^Q ⇒ два фиксированных сгруппированных блока сжимаются", "status": "internal", "owner": "project", "domain": "dynamics", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#PDContraction", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "PDMorphic", "title": "M4: when 3^S<2^Q, h(d) start is rational ⇔ uv=vu; Lucier input known", "original": "M4: при 3^S<2^Q старт h(d) рационален ⇔ uv=vu; вход Lucier известен", "status": "internal", "owner": "project", "domain": "coding", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#PDMorphic", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "PDGrowing", "title": "M5: h(d) start is rational ⇔ uv=vu; otherwise transcendental, any nonempty u,v", "original": "M5: старт h(d) рационален ⇔ uv=vu; иначе трансцендентен, любые непустые u,v", "status": "internal", "owner": "project", "domain": "dynamics", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#PDGrowing", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "ScalarF", "title": "Exact scalar equations F,H_r; δ=0 ⇔ uv=vu", "original": "Точные скалярные уравнения F,H_r; δ=0 ⇔ uv=vu", "status": "internal", "owner": "project", "domain": "dynamics", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#ScalarF", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "FormalH", "title": "H_r is not a rational function; known SML", "original": "H_r не является рациональной функцией; известная SML", "status": "internal", "owner": "project", "domain": "dynamics", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#FormalH", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "NishiokaKnown", "title": "Known Nishioka theorem: an algebraic Mahler function is rational", "original": "Известная теорема Нисиоки: алгебраическая функция Малера рациональна", "status": "internal", "owner": "other", "domain": "literature", "author": "Published input / project annotation", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#NishiokaKnown", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "FormalTransH", "title": "H_r is transcendental as a function: exact 4-Mahler equation + Nishioka", "original": "H_r трансцендентна как функция: точное 4-Mahler уравнение + Нисиока", "status": "internal", "owner": "project", "domain": "coding", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#FormalTransH", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "AuxiliaryValue", "title": "Mahler argument: auxiliary-series vanishing order ≥N²+2N versus height ≤9N·h(t)", "original": "Аргумент Малера: порядок вспомогательного ряда ≥N²+2N против высоты ≤9N·h(t)", "status": "internal", "owner": "project", "domain": "dynamics", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#AuxiliaryValue", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "ScalarBarrier", "title": "When r is not a root of unity, rational scalar substitution yields no Laurent coefficients", "original": "При r не корне единицы рациональная скалярная замена не даёт коэффициентов Лорана", "status": "internal", "owner": "project", "domain": "dynamics", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#ScalarBarrier", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "HValue", "title": "M5: all required H_r(t) are transcendental; poles and place weight checked", "original": "M5: все нужные H_r(t) трансцендентны; полюса и вес места проверены", "status": "internal", "owner": "project", "domain": "dynamics", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#HValue", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "RSSystem", "title": "Rudin–Shapiro: exact system R(a,b),R(−a,−b); transition (a³b,ab³)", "original": "Рудин–Шапиро: точная система R(a,b),R(−a,−b); переход (a³b,ab³)", "status": "internal", "owner": "project", "domain": "dynamics", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#RSSystem", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "RSInvert", "title": "Matrix invertible along the entire actual orbit; determinant checked", "original": "Матрица обратима на всей настоящей орбите; детерминант проверен", "status": "internal", "owner": "project", "domain": "dynamics", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#RSInvert", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "RSNonzero", "title": "For a≠b, every nonzero analytic series on the orbit is eventually nonzero", "original": "При a≠b любой ненулевой аналитический ряд на орбите в итоге ненулевой", "status": "internal", "owner": "project", "domain": "dynamics", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#RSNonzero", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "RSFormal", "title": "R(a,b) and the diagonal are formally transcendental; Nishioka input known", "original": "R(a,b) и диагональ формально трансцендентны; вход Нисиоки известен", "status": "internal", "owner": "project", "domain": "dynamics", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#RSFormal", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "RSJoint", "title": "For each admissible pair a,b in this construction, at least one of the two components is transcendental", "original": "При каждой настоящей a,b хотя бы одна из двух компонент трансцендентна", "status": "internal", "owner": "project", "domain": "dynamics", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#RSJoint", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "RSChoiceBarrier", "title": "Example of another system: invertibility does not select the transcendental component", "original": "Пример другой системы: обратимость не выбирает трансцендентную компоненту", "status": "internal", "owner": "project", "domain": "dynamics", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#RSChoiceBarrier", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "RSDiagonalKnown", "title": "Known DHR input: L(z),L(−z) are algebraically independent", "original": "Известный вход DHR: L(z),L(−z) алгебраически независимы", "status": "internal", "owner": "other", "domain": "literature", "author": "Published input / project annotation", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#RSDiagonalKnown", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "RSPairFormal", "title": "R(a,b),R(−a,−b) are formally algebraically independent — checked in 0046", "original": "R(a,b),R(−a,−b) формально алгебраически независимы — проверено0046", "status": "internal", "owner": "project", "domain": "dynamics", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#RSPairFormal", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "RSSparse", "title": "Sparse support: degrees m³ allow vanishing order c·m⁷", "original": "Разреженная поддержка: степени m³ допускают порядок зануления c·m⁷", "status": "internal", "owner": "project", "domain": "dynamics", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#RSSparse", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "RSHermite", "title": "P,P_U,P_V simultaneously have order c·m⁷ at degrees m³", "original": "Одновременно P,P_U,P_V имеют порядок c·m⁷ при степенях m³", "status": "internal", "owner": "project", "domain": "dynamics", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#RSHermite", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "RSConditional", "title": "Nonzero resultant on an infinite orbit ⇒ selected value transcendental, a≠b", "original": "Ненулевой результант на бесконечной орбите ⇒ выбранное значение трансцендентно, a≠b", "status": "internal", "owner": "project", "domain": "dynamics", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#RSConditional", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "RSGcd", "title": "Linear space: existence of a squarefree member is equivalent to a squarefree common divisor, under the stated hypotheses", "original": "Линейное пространство: общий элемент без кратности ⇔ общий делитель без кратности", "status": "internal", "owner": "project", "domain": "arithmetic", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#RSGcd", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "RSSquarefree", "title": "Construct the required specialization without multiple roots — open", "original": "Построить нужную специализацию без кратных корней — открыто", "status": "open", "owner": "project", "domain": "dynamics", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#RSSquarefree", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "RSResultant", "title": "Construct the required nonzero resultant — open", "original": "Построить нужный ненулевой результант — открыто", "status": "open", "owner": "project", "domain": "arithmetic", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#RSResultant", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "RSGelfondKnown", "title": "Known Roy–Waldschmidt criterion: small values at every large height", "original": "Известный критерий Roy–Waldschmidt: малые значения при каждой большой высоте", "status": "internal", "owner": "other", "domain": "literature", "author": "Published input / project annotation", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#RSGelfondKnown", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "RSGelfondCriterion", "title": "G1: all large heights covered; for RS, order m⁷ versus losses m⁶", "original": "G1: все большие высоты покрыты; для RS порядок m⁷ против потерь m⁶", "status": "internal", "owner": "project", "domain": "dynamics", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#RSGelfondCriterion", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "RSSelected", "title": "M6: R(a,b) itself is transcendental for all admissible a,b in this construction, including the diagonal", "original": "M6: именно R(a,b) трансцендентно при всех настоящих a,b, включая диагональ", "status": "internal", "owner": "project", "domain": "dynamics", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#RSSelected", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "RSMorphic", "title": "M6: Rudin–Shapiro two-word image start is rational ⇔ uv=vu; otherwise transcendental", "original": "M6: старт двусловного образа Рудина–Шапиро рационален ⇔ uv=vu; иначе трансцендентен", "status": "internal", "owner": "project", "domain": "coding", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#RSMorphic", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "RSNorm", "title": "M7: norm on a fixed curve; nonzero resultant, height O(m³4^j)", "original": "M7: норма по фиксированной кривой; результант ненулевой, высота O(m³4^j)", "status": "internal", "owner": "project", "domain": "dynamics", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#RSNorm", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "RSPairValues", "title": "M7: R(a,b),R(−a,−b) algebraically independent over Q, including the diagonal", "original": "M7: R(a,b),R(−a,−b) алгебраически независимы над Q, включая диагональ", "status": "internal", "owner": "project", "domain": "dynamics", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#RSPairValues", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "GeneralSparse", "title": "When E_n=o(n) and formal independence: order AL² for every fixed A", "original": "При E_n=o(n) и формальной независимости: порядок AL² для любого фиксированного A", "status": "internal", "owner": "project", "domain": "dynamics", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#GeneralSparse", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "FibEquation", "title": "Fibonacci: exact equation with transition (ab,a), invertibility, and height O(φ^j)", "original": "Фибоначчи: точное уравнение с переходом (ab,a), обратимость и высота O(φ^j)", "status": "internal", "owner": "project", "domain": "dynamics", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#FibEquation", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "FibNonzero", "title": "Irrational weight φu+v: unique leading monomial and control of the infinite tail", "original": "Иррациональный вес φu+v: единственный ведущий моном и контроль бесконечного хвоста", "status": "internal", "owner": "project", "domain": "dynamics", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#FibNonzero", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "FatouKnown", "title": "Known Fatou theorem + nonperiodic diagonal: formal transcendence of F", "original": "Известная теорема Фату + непериодичная диагональ: формальная трансцендентность F", "status": "internal", "owner": "other", "domain": "literature", "author": "Published input / project annotation", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#FatouKnown", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "FibValue", "title": "M8: Fibonacci F(a,b) is transcendental for all admissible parameters in this construction", "original": "M8: F(a,b) Фибоначчи трансцендентно для всех настоящих параметров", "status": "internal", "owner": "project", "domain": "dynamics", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#FibValue", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "FibMorphic", "title": "M8: Fibonacci two-word image start rational ⇔ uv=vu; otherwise transcendental", "original": "M8: старт двусловного образа Фибоначчи рационален ⇔ uv=vu; иначе трансцендентен", "status": "internal", "owner": "project", "domain": "coding", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#FibMorphic", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "AffineFree", "title": "Normalized 2-adic maps form a free monoid; renormalization coefficient nonzero", "original": "Нормированные 2-адические карты образуют свободный моноид; коэффициент перенормировки ненулевой", "status": "internal", "owner": "project", "domain": "dynamics", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#AffineFree", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "IrrationalPF", "title": "M9: transcendence for primitive binary substitutions with irrational PF", "original": "M9: трансцендентность для примитивных бинарных подстановок с иррациональным PF", "status": "internal", "owner": "project", "domain": "coding", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#IrrationalPF", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "IntegerPF", "title": "M10: integer leading value, second root 0 or modulus at least 2", "original": "M10: целое главное значение, второй корень 0 или модуль не меньше 2", "status": "internal", "owner": "project", "domain": "dynamics", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#IntegerPF", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "UnitEigen", "title": "M11: second root ±1, exact algebraic coordinates and value transfer", "original": "M11: второй корень ±1, точные алгебраические координаты и перенос значений", "status": "internal", "owner": "project", "domain": "dynamics", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#UnitEigen", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "PrimitiveBinary", "title": "M11: primitive binary substitutions, nonperiodic fixed word — all spectra", "original": "M11: примитивные бинарные подстановки, непериодическое фиксированное слово — все спектры", "status": "internal", "owner": "project", "domain": "dynamics", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#PrimitiveBinary", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "SAdic", "title": "M12: arbitrary directive with a common irrational matrix; compactness and uniform estimates", "original": "M12: произвольная директива с общей иррациональной матрицей; компактность и равномерные оценки", "status": "internal", "owner": "project", "domain": "dynamics", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#SAdic", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "CompactTower", "title": "M13: common primitive matrix of any spectrum; explicit compact nonperiodic family", "original": "M13: общая примитивная матрица любого спектра; явно заданное компактное непериодическое семейство", "status": "internal", "owner": "project", "domain": "dynamics", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#CompactTower", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "IrrationalExample", "title": "0079: explicit family with irrational frequency; arbitrary binary directive", "original": "0079: явное семейство с иррациональной частотой; произвольная двоичная директива", "status": "internal", "owner": "project", "domain": "coding", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#IrrationalExample", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "TernaryExample", "title": "0080: explicit ternary family; nonperiodicity via period divisibility", "original": "0080: явное троичное семейство; непериодичность через делимость периода", "status": "internal", "owner": "project", "domain": "dynamics", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#TernaryExample", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "CFGap", "title": "0082: compact irrational CF directions; separation of finite weight sets", "original": "0082: компактные иррациональные CF-направления; разделение конечных наборов весов", "status": "internal", "owner": "project", "domain": "dynamics", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#CFGap", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "VariableMatrix", "title": "M14: σ_a=(0^a1,0), a=1 or 2; arbitrary directive, varying matrices", "original": "M14: σ_a=(0^a1,0), a=1 или 2; произвольная директива, меняющиеся матрицы", "status": "internal", "owner": "project", "domain": "arithmetic", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#VariableMatrix", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "UnboundedCF", "title": "M15: any positive digits; algebraicity forces them to be bounded", "original": "M15: любые положительные цифры; алгебраичность вынуждает их ограниченность", "status": "internal", "owner": "project", "domain": "dynamics", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#UnboundedCF", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "MovingOne", "title": "M16: the one in any block position; two exact valuations and heights", "original": "M16: единица в любом месте блока; две точные валюации и высоты", "status": "internal", "owner": "project", "domain": "dynamics", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#MovingOne", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "MechanicalRepresentation", "title": "M17: all irrational mechanical words and intercepts; exact representation", "original": "M17: все иррациональные механические слова и интерцепты; точное представление", "status": "internal", "owner": "project", "domain": "dynamics", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#MechanicalRepresentation", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "KnownComplexity", "title": "Dubickas: linear lower complexity bound; rational domain checked", "original": "Dubickas: нижняя линейная сложность; проверена рациональная область", "status": "internal", "owner": "other", "domain": "literature", "author": "Published input / project annotation", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#KnownComplexity", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "QuasiSturmian", "title": "Known exclusion of p(n)=n+C for nonperiodic rational codes", "original": "Известный запрет p(n)=n+C для непериодических рациональных кодов", "status": "internal", "owner": "project", "domain": "coding", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#QuasiSturmian", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "QuasiValues", "title": "M18: transcendence of F for quasisturmian words; known representation and affine normalization", "original": "M18: трансцендентность F квазиштурмовых слов; известное представление и аффинная нормировка", "status": "internal", "owner": "project", "domain": "dynamics", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#QuasiValues", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "AlgebraicValues", "title": "M19: arguments algebraic over Q, any prime p, positive valuations", "original": "M19: аргументы алгебраические над Q, любое простое p, положительные валюации", "status": "internal", "owner": "project", "domain": "dynamics", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#AlgebraicValues", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "ParameterBoundary", "title": "0099: for arbitrary parameters from Q_p transcendence is false; explicit example F=p", "original": "0099: для произвольных параметров из Q_p трансцендентность ложна; явный пример F=p", "status": "internal", "owner": "project", "domain": "energy", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#ParameterBoundary", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "WordBoundary", "title": "0101/0103: cannot allow all nonperiodic words; F(2/3,2/3)=4", "original": "0101/0103: все непериодические слова разрешать нельзя; F(2/3,2/3)=4", "status": "internal", "owner": "project", "domain": "coding", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#WordBoundary", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "ThreeSystem", "title": "0104: three-state system; exact six-step return and nonzero determinants", "original": "0104: трёхсостоянийная система; точный шестишаговый возврат и ненулевые определители", "status": "internal", "owner": "project", "domain": "dynamics", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#ThreeSystem", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "ThreeFormal", "title": "0106: formal H(w) transcendental; known Mahler dichotomy", "original": "0106: формальная H(w) трансцендентна; известная Mahler-дихотомия", "status": "internal", "owner": "project", "domain": "coding", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#ThreeFormal", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "ThreeComplexity", "title": "0107–0110: frequencies 1/3 or 2/3, complexity≤15L for all six projections", "original": "0107–0110: частоты1/3 или2/3, сложность≤15L для всех шести проекций", "status": "internal", "owner": "project", "domain": "coding", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#ThreeComplexity", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "FrequencyGrowth", "title": "0109/0110: β=max(ρlog3−log2,0); p(L)≤cL+O(1) and cβ0, periodic ⇔ all words commute pairwise; empty words allowed", "original": "0120–0124: образы h(s), Λ>0, периодичны ⇔ все слова попарно коммутируют; пустые допустимы", "status": "internal", "owner": "project", "domain": "coding", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#CyclicImagePeriod", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "CyclicMorphic", "title": "0119–0124: different lengths, Λ>0; when 3^(2R)<2^(3Λ), rationality ⇔ pairwise commutativity", "original": "0119–0124: разные длины, Λ>0; при3^(2R)<2^(3Λ) рациональность ⇔ попарная коммутативность", "status": "internal", "owner": "project", "domain": "coding", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#CyclicMorphic", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "BaseProjection", "title": "0125: digit sum in base B; projection periodic ⇔ invariance under shift B−1", "original": "0125: сумма цифр по основанию B; периодичность проекции ⇔ инвариантность сдвига B−1", "status": "internal", "owner": "project", "domain": "dynamics", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#BaseProjection", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "AllBasePhase", "title": "0124/0125: arbitrary words, Λ>0; periodic ⇔ phases agree in gcd(m,B−1) classes", "original": "0124/0125: произвольные слова, Λ>0; периодичность ⇔ фазы равны в классах gcd(m,B−1)", "status": "internal", "owner": "project", "domain": "arithmetic", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#AllBasePhase", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "PrefixSquares", "title": "When B≥2m: square prefixes; reverse-start rationality ⇔ periodicity without a frequency condition", "original": "При B≥2m: квадратные префиксы; рациональность обратного старта ⇔ периодичность без частотного условия", "status": "internal", "owner": "project", "domain": "coding", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#PrefixSquares", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "BaseChangeBoundary", "title": "0126: changing the base changes the code; no automatic coverage of other bases", "original": "0126: изменение основания меняет код; автоматического охвата остальных оснований нет", "status": "internal", "owner": "project", "domain": "energy", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#BaseChangeBoundary", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "PeriodicCycles", "title": "0127/0129: exact rational start for any period; positivity and integrality criteria", "original": "0127/0129: точный рациональный старт любого периода; критерии положительности и целочисленности", "status": "internal", "owner": "project", "domain": "coding", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#PeriodicCycles", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "OneSymbolCycles", "title": "0127/0129: one 1 or one 0 per period gives only the positive cycle 1↔2", "original": "0127/0129: одна единица либо один нуль в периоде дают только положительный цикл1↔2", "status": "internal", "owner": "project", "domain": "dynamics", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#OneSymbolCycles", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "FixedOddCycleBoundary", "title": "0161/0163: finitely many cycles for fixed r; no minimal odd periods 2,3", "original": "0161/0163: при фиксированном r циклов конечно; минимальных нечётных периодов2,3 нет", "status": "internal", "owner": "project", "domain": "energy", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#FixedOddCycleBoundary", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "CyclePrimitiveCertificate", "title": "0165: sign and divisibility suffice; powers and rotations give one class per cycle", "original": "0165: знак и делимость достаточны; степени и повороты дают один класс на цикл", "status": "internal", "owner": "project", "domain": "dynamics", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#CyclePrimitiveCertificate", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "AllPositiveCycles", "title": "Exclude all additional positive cycles — open", "original": "Исключить все дополнительные положительные циклы — открыто", "status": "open", "owner": "project", "domain": "dynamics", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#AllPositiveCycles", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "JointThreeValues", "title": "0131/0132: at least one of H(α),D(α) and at least two G_i(α) are transcendental", "original": "0131/0132: хотя бы одно из H(α),D(α) и хотя бы две G_i(α) трансцендентны", "status": "internal", "owner": "project", "domain": "dynamics", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#JointThreeValues", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "ThreeGaugeBoundary", "title": "0133: no constant common left eigenrow; one known relation is insufficient for scalar H recurrence", "original": "0133: нет постоянной общей собственной строки; одной известной связи недостаточно для скалярной рекурсии H", "status": "internal", "owner": "project", "domain": "energy", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#ThreeGaugeBoundary", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "ThreeAffine", "title": "0134: exact affine H,D system and regularity; necessary Riccati equations", "original": "0134: точная аффинная система H,D и регулярность; необходимые Riccati-уравнения", "status": "internal", "owner": "project", "domain": "dynamics", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#ThreeAffine", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "SelectedValueBoundary", "title": "0135: regular mixed system and formal transcendence alone do not select a transcendental value", "original": "0135: регулярная смешанная система и формальная трансцендентность сами не выбирают трансцендентное значение", "status": "internal", "owner": "project", "domain": "energy", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#SelectedValueBoundary", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "RiccatiDegree", "title": "0136: degree of a rational invariant line is at most 2", "original": "0136: степень рациональной инвариантной прямой не выше2", "status": "internal", "owner": "project", "domain": "dynamics", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#RiccatiDegree", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "RationalIrreducibility", "title": "0136–0139: all rational invariant lines excluded; 1,H,D functionally linearly independent", "original": "0136–0139: все рациональные инвариантные прямые исключены; 1,H,D функционально линейно независимы", "status": "internal", "owner": "project", "domain": "coding", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#RationalIrreducibility", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "ThreeScalarOrder", "title": "0141: minimal affine order 2; endpoint coefficients nonzero on the whole 2-adic orbit", "original": "0141: минимальный аффинный порядок2; крайние коэффициенты ненулевые на всей 2-адической орбите", "status": "internal", "owner": "project", "domain": "dynamics", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#ThreeScalarOrder", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "ThreeIrrational", "title": "0109/0110: all six projections have irrational starts in Q₂; finite changes allowed", "original": "0109/0110: все шесть проекций имеют иррациональный старт в Q₂; конечные изменения допустимы", "status": "internal", "owner": "project", "domain": "coding", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#ThreeIrrational", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "SubspaceKnown", "title": "Known p-adic subspace theorem; normalization at ∞,2,3 places checked", "original": "Известная p-адическая теорема о подпространствах; проверенная нормировка в местах ∞,2,3", "status": "internal", "owner": "other", "domain": "literature", "author": "Published input / project annotation", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#SubspaceKnown", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "SubspaceM20", "title": "M20: existing frequency and repeats with c·max(ρlog3−log2,0)log2 and repeats are linear, at least one real or 2-adic value is transcendental; any c", "original": "M21: при ρlog3>log2 и линейных повторах хотя бы одно из вещественного и 2-адического значений трансцендентно; любой c", "status": "internal", "owner": "project", "domain": "coding", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#JointRealPadicM21", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "JointOddAffine", "title": "0171/0173: joint M21 for odd a,b, including signs and all prime divisors of a", "original": "0171/0173: совместный M21 для нечётных a,b, включая знаки и все простые делители a", "status": "internal", "owner": "project", "domain": "dynamics", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#JointOddAffine", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "JointWindowDrift", "title": "0172/0174: joint conclusion without mean frequency when S(t+h)−S(t)≥ρ₀h−C, ρ₀log3>log2", "original": "0172/0174: совместный вывод без средней частоты при S(t+h)−S(t)≥ρ₀h−C, ρ₀log3>log2", "status": "internal", "owner": "project", "domain": "dynamics", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#JointWindowDrift", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "JointPrefixOscillation", "title": "0184/0185 and 0218/0220: joint criterion by initial liminf/limsup; Baker improves threshold, ξ₂ selection open", "original": "0184/0185 и0218/0220: совместный критерий по начальному liminf/limsup; Бейкер улучшает порог, выбор ξ₂ открыт", "status": "internal", "owner": "project", "domain": "coding", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#JointPrefixOscillation", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "MaskZeroBanach", "title": "0186/0187: automatic example satisfies new joint condition without frequency and with window lower density 0", "original": "0186/0187: автоматический пример удовлетворяет новому совместному условию без частоты и с нижней плотностью окон0", "status": "internal", "owner": "project", "domain": "dynamics", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#MaskZeroBanach", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "MaskSelected", "title": "0188/0190 and 0192/0194: selected Φ₂ of masked code is transcendental for every m≥1 via explicit M20 repeats", "original": "0188/0190 и0192/0194: выбранное Φ₂ маскированного кода трансцендентно для каждого m≥1 через явные повторы M20", "status": "internal", "owner": "project", "domain": "dynamics", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#MaskSelected", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "NumeratorSubspace", "title": "0195/0196: margin of one A# as N,N−d→∞ gives selected transcendence; without mean frequency", "original": "0195/0196: маржа одного A# при N,N−d→∞ даёт выбранную трансцендентность; без средней частоты", "status": "internal", "owner": "project", "domain": "coding", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#NumeratorSubspace", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "ActualErrorReduction", "title": "0199/0200: actual precision reduces to the previous numerator criterion after extension", "original": "0199/0200: фактическая точность сводится к прежнему числительному критерию после продления", "status": "internal", "owner": "project", "domain": "dynamics", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#ActualErrorReduction", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "PeriodPowerReduction", "title": "0205/0208: W^k reduces to W at the same N; numerator margin does not decrease", "original": "0205/0208: W^k сокращается до W при том же N; числительная маржа не уменьшается", "status": "internal", "owner": "project", "domain": "coding", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#PeriodPowerReduction", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "FixedPeriodHeight", "title": "0207/0209: fixed rational nonperiodic start and finite period set give bounded h/A# on the tail", "original": "0207/0209: фиксированный рациональный непериодический старт и конечный набор периодов дают ограниченное h/A# на хвосте", "status": "internal", "owner": "project", "domain": "coding", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#FixedPeriodHeight", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "GrowingPeriodHeight", "title": "0210/0211: comparison of growing periods with explicit F,G; universality of conditions unproved", "original": "0210/0211: сравнение растущих периодов при явных F,G; универсальность условий не доказана", "status": "internal", "owner": "project", "domain": "coding", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#GrowingPeriodHeight", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "IntegerBranchBound", "title": "0213/0215/0216: integer branch requires 2^S≤(|a|+b)3^R when k<0", "original": "0213/0215/0216: целая ветвь требует 2^S≤(|a|+b)3^R при k<0", "status": "internal", "owner": "project", "domain": "dynamics", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#IntegerBranchBound", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "ExpandingPeriodHeight", "title": "0212/0214: k<0 excludes ordinary cancellation; orbit speed is unnecessary for comparison", "original": "0212/0214: k<0 исключает обычную отмену; скорость орбиты для сравнения не нужна", "status": "internal", "owner": "project", "domain": "coding", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#ExpandingPeriodHeight", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "BakerPeriodHeight", "title": "0217: known Baker bound gives log(h/A#)=max(v₃(A)−S,0)log3+O(log(q+1)) for k<0,S≥1", "original": "0217: известный Бейкер даёт log(h/A#)=max(v₃(A)−S,0)log3+O(log(q+1)) при k<0,S≥1", "status": "internal", "owner": "project", "domain": "coding", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#BakerPeriodHeight", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "PowerUniformHeight", "title": "0219: reducing W^k to W changes height gap by O(log(kq+1)), uniformly", "original": "0219: сокращение W^k до W меняет разрыв высот на O(log(kq+1)), равномерно", "status": "internal", "owner": "project", "domain": "dynamics", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#PowerUniformHeight", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "FullPrecisionBranch", "title": "0221/0222: full matching gives 2^(S+L)≤(|a|+b)max(1,(3/2)^R−1) on integer branch", "original": "0221/0222: полное совпадение даёт 2^(S+L)≤(|a|+b)max(1,(3/2)^R−1) на целой ветви", "status": "internal", "owner": "project", "domain": "dynamics", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#FullPrecisionBranch", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "FullPrecisionValuation", "title": "0223: 3^min(v₃(A),S)·2^L≤(|a|+b)(3/2)^(S+R); explicit form of known height bound", "original": "0223: 3^min(v₃(A),S)·2^L≤(|a|+b)(3/2)^(S+R); явная форма известного высотного ограничения", "status": "internal", "owner": "project", "domain": "dynamics", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#FullPrecisionValuation", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "FullRationalGcd", "title": "0226: full fraction gcd strengthens local bound; it does not replace the common factor of three", "original": "0226: полный gcd дроби усиливает локальную границу; он не заменяет общий делитель тройки", "status": "internal", "owner": "project", "domain": "arithmetic", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#FullRationalGcd", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "JointPeriodSize", "title": "0224/0225: exact universal exponent of ordinary period modulus and refined joint threshold", "original": "0224/0225: точный универсальный показатель обычного модуля периода и уточнённый совместный порог", "status": "internal", "owner": "project", "domain": "coding", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#JointPeriodSize", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "BlockDescentHeight", "title": "0227/0229: with positive start, a block without decrease has controlled height gap; a large gap after valuation control requires local descent", "original": "0227/0229: при положительном старте блок без уменьшения имеет контролируемый разрыв высот; большой разрыв после контроля валюации требует локального спуска", "status": "internal", "owner": "project", "domain": "dynamics", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#BlockDescentHeight", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "ChainedRepeatSelection", "title": "0228/0231: explicit repeat chain selects infinitely many nondecreasing positive integer labels", "original": "0228/0231: явная цепь повторов выбирает бесконечно много неубывающих положительных целочисленных меток", "status": "internal", "owner": "project", "domain": "dynamics", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#ChainedRepeatSelection", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "SturmianFixedReturns", "title": "0230/0233: known initial squares of all Sturmian words; fixed left endpoint", "original": "0230/0233: известные начальные квадраты всех Sturmian-слов; фиксированный левый конец", "status": "internal", "owner": "project", "domain": "coding", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#SturmianFixedReturns", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "UniformActualValuation", "title": "0232/0234: the known Monks result and full precision uniformly exclude v3(A) >= S for all actual q <= i on the tail of a nonperiodic rational start", "original": "0232/0234: известный Monks и полная точность исключают v₃(A)≥S равномерно для всех настоящих q≤i на хвосте непериодического рационального старта", "status": "internal", "owner": "project", "domain": "dynamics", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#UniformActualValuation", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "LocalDenominatorGrowth", "title": "0236/0238: the exponent of 3 in the fully reduced denominator grows linearly in i for all actual q <= i; no incompatible upper bound", "original": "0236/0238: степень3 полностью сокращённого знаменателя растёт линейно по i для всех настоящих q≤i; верхней несовместимой границы нет", "status": "internal", "owner": "project", "domain": "arithmetic", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#LocalDenominatorGrowth", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "FixedReturnsIce", "title": "0235/0239: fixed linear returns are equivalent to an initial critical exponent greater than 1 for the corresponding tail", "original": "0235/0239: фиксированные линейные возвраты эквивалентны ice соответствующего хвоста больше1", "status": "internal", "owner": "project", "domain": "dynamics", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#FixedReturnsIce", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "RepeatGraphDichotomy", "title": "0240/0241: universal choice for all labels h→∞ is equivalent to an infinite chain or an infinite-outdegree vertex in one repeat graph", "original": "0240/0241: универсальный выбор для всех меток h→∞ эквивалентен бесконечной цепи или вершине бесконечной исходящей степени в одном графе повторов", "status": "internal", "owner": "project", "domain": "dynamics", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#RepeatGraphDichotomy", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "OrderedRepeatSelection", "title": "General selection of linearly ordered repeats with the required value ordering — unproved", "original": "Общий выбор линейно расположенных повторов с нужным порядком значений — не доказан", "status": "open", "owner": "project", "domain": "dynamics", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#OrderedRepeatSelection", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "ExactLcpCounts", "title": "0242/0244/0247: exact LCP-pair count; bounded type complexity does not give a constant number of pairs", "original": "0242/0244/0247: точный подсчёт LCP-пар; bounded сложность типов не даёт константного числа пар", "status": "internal", "owner": "project", "domain": "dynamics", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#ExactLcpCounts", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "DiscountedRepeats", "title": "0243/0245: infinite discounted budget from each start forces nondecreasing edges", "original": "0243/0245: бесконечный дисконтированный бюджет из каждого старта вынуждает неубывающие рёбра", "status": "internal", "owner": "project", "domain": "dynamics", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#DiscountedRepeats", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "DiscountedApplicability", "title": "Discounted divergence for the required codes — unproved", "original": "Дисконтированная дивергенция для нужных кодов — не доказана", "status": "open", "owner": "project", "domain": "dynamics", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#DiscountedApplicability", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "ConstantRunGeometry", "title": "0246/0250: exact reward of all neighboring repeats in constant runs", "original": "0246/0250: точная награда всех соседних повторов в постоянных сериях", "status": "internal", "owner": "project", "domain": "dynamics", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#ConstantRunGeometry", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "WeightedLcpReward", "title": "0248: a strictly decreasing actual repeat of length L has reward at least 2^L", "original": "0248: строго убывающий настоящий повтор длины L имеет награду не менее 2^L", "status": "internal", "owner": "project", "domain": "dynamics", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#WeightedLcpReward", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "DiscountedGraphDuality", "title": "0249/0251: exact criterion for abstract integer labels with bounded growth", "original": "0249/0251: точный критерий существования абстрактных целых меток с ограниченным ростом", "status": "internal", "owner": "project", "domain": "dynamics", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#DiscountedGraphDuality", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "FiniteDeletionReward", "title": "0252/0256: infinite reward survives finite deletion; one start suffices", "original": "0252/0256: бесконечная награда устойчива к конечному удалению; достаточно одного старта", "status": "internal", "owner": "project", "domain": "dynamics", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#FiniteDeletionReward", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "FixedPrecisionLabels", "title": "0253/0254: any fixed residues are preserved in abstract labeling", "original": "0253/0254: любые фиксированные остатки сохраняются в абстрактной разметке", "status": "internal", "owner": "project", "domain": "dynamics", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#FixedPrecisionLabels", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "BoundedStartCompactness", "title": "0255/0257: bounded start gives exact orbit — conditional lemma", "original": "0255/0257: ограниченное начало даёт точную орбиту — условная лемма", "status": "internal", "owner": "project", "domain": "dynamics", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#BoundedStartCompactness", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "LcpRewardBoundary", "title": "0259: two regimes of one relaxed LCP graph", "original": "0259: два режима одной релаксации LCP-графа", "status": "internal", "owner": "project", "domain": "energy", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#LcpRewardBoundary", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "GrowingPrecisionBoundary", "title": "0260/0261: growing precision without height control is insufficient", "original": "0260/0261: растущая точность без контроля высоты недостаточна", "status": "internal", "owner": "project", "domain": "energy", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#GrowingPrecisionBoundary", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "AutomaticRepeatChains", "title": "0262/0263: repeat chain for all automatic words", "original": "0262/0263: цепь повторов всех автоматических слов", "status": "internal", "owner": "project", "domain": "coding", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#AutomaticRepeatChains", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "AutomaticArithmeticMargin", "title": "Arithmetic margin for all automatic positive starts — unproved", "original": "Все автоматические положительные старты — арифметическая маржа не доказана", "status": "open", "owner": "project", "domain": "coding", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#AutomaticArithmeticMargin", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "AutomaticArithmeticRequirements", "title": "0265–0267: exact conditional margins and implication directions", "original": "0265–0267: точные условные маржи и направления импликаций", "status": "internal", "owner": "project", "domain": "coding", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#AutomaticArithmeticRequirements", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "FiniteValuePersistentTail", "title": "0268/0269: finite value does not ensure tail disappearance", "original": "0268/0269: конечное значение не обеспечивает исчезновения хвоста", "status": "internal", "owner": "project", "domain": "dynamics", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#FiniteValuePersistentTail", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "ComparableSubstitutionChains", "title": "0270/0271: chains of growing substitutions with comparable lengths", "original": "0270/0271: цепи растущих подстановок со сравнимыми длинами", "status": "internal", "owner": "project", "domain": "dynamics", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#ComparableSubstitutionChains", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "PureMorphicLinearChains", "title": "0272/0275: chains of nonerasing purely morphic words of linear complexity via Pansiot", "original": "0272/0275: цепи не стирающих чисто морфических слов линейной сложности через Пансио", "status": "internal", "owner": "project", "domain": "coding", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#PureMorphicLinearChains", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "IncreasingRunGeometry", "title": "0273–0278: complexity and finite-edge criteria for strictly increasing runs; known count", "original": "0273–0278: критерии сложности и конечности рёбер строго возрастающих серий; известный подсчёт", "status": "internal", "owner": "project", "domain": "dynamics", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#IncreasingRunGeometry", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "IncreasingRunPaths", "title": "0281/0283: for strictly increasing runs, a path is equivalent to linear complexity", "original": "0281/0283: для строго возрастающих серий путь эквивалентен линейной сложности", "status": "internal", "owner": "project", "domain": "dynamics", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#IncreasingRunPaths", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "WeightedWordWithoutChain", "title": "0279/0280: an actual word without a pure chain but with infinite weighted reward", "original": "0279/0280: настоящее слово без чистой цепи с бесконечной взвешенной наградой", "status": "internal", "owner": "project", "domain": "coding", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#WeightedWordWithoutChain", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "ShortRunWeightedWord", "title": "0282/0284: same boundary when all late L_s/a_s are at most 1/100", "original": "0282/0284: та же граница при всех поздних L_s/a_s не более 1/100", "status": "internal", "owner": "project", "domain": "coding", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#ShortRunWeightedWord", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "TernaryM20Application", "title": "0286: both words 1→110, 0→011 and all shifts satisfy M20", "original": "0286: оба слова 1→110,0→011 и все сдвиги удовлетворяют M20", "status": "internal", "owner": "project", "domain": "dynamics", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#TernaryM20Application", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "Rung1FiniteBridge", "title": "0285/0287/0288: exact Hyp dictionary and Φ=(5/9)F−10", "original": "0285/0287/0288: точный словарь Hyp и Phi=(5/9)F−10", "status": "internal", "owner": "project", "domain": "dynamics", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#Rung1FiniteBridge", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "UniformBlockReduction", "title": "0289/0290: exact block system; scalarization; boundary of the general argument", "original": "0289/0290: точная блочная система; скаляризация; граница общего аргумента", "status": "internal", "owner": "project", "domain": "dynamics", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#UniformBlockReduction", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "EqualCompletionOrbit", "title": "0291: equal rational values imply periodicity; for α>1, Q₂ suffices", "original": "0291: равные рациональные значения дают периодичность; при α>1 достаточно Q₂", "status": "internal", "owner": "project", "domain": "dynamics", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#EqualCompletionOrbit", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "PadicRationalLifting", "title": "0297: rational linear Q₂ lifting with two convergences and a regular system", "original": "0297: рациональный линейный Q₂-подъём при двух сходимостях и регулярной системе", "status": "internal", "owner": "project", "domain": "coding", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#PadicRationalLifting", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "UniformBlockApplication", "title": "0298: same-weight automatic blocks — rational start iff periodic tail", "original": "0298: автоматические блоки одного веса — рациональный старт iff периодический хвост", "status": "internal", "owner": "project", "domain": "dynamics", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#UniformBlockApplication", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "FiniteKernelValueTransfer", "title": "0298: rational Q₂ value of a finite-kernel series equals the real value with two convergences", "original": "0298: рациональное Q₂-значение ряда с конечным ядром совпадает с вещественным при двух сходимостях", "status": "internal", "owner": "project", "domain": "dynamics", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#FiniteKernelValueTransfer", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "BoundedDiscrepancyApplication", "title": "0299: automatic code with bounded discrepancy — rational start iff periodic tail", "original": "0299: автоматический код с ограниченным отклонением — рациональный старт iff периодический хвост", "status": "internal", "owner": "project", "domain": "dynamics", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#BoundedDiscrepancyApplication", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "PolynomialSystemTransfer", "title": "0300/0301: transfer of a rational value of a polynomial Mahler system with two convergences", "original": "0300/0301: перенос рационального значения полиномиальной Mahler-системы при двух сходимостях", "status": "internal", "owner": "project", "domain": "coding", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#PolynomialSystemTransfer", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "FiniteExponentOrbit", "title": "0300/0301: finite exponent orbit gives digital weights and excludes positive start when α<1", "original": "0300/0301: конечная орбита показателя даёт цифровые веса и запрет положительного старта при α<1", "status": "internal", "owner": "project", "domain": "dynamics", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#FiniteExponentOrbit", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "PrefixQuotientCriterion", "title": "0302/0303: finite powers of prefix-sum quotient give a sufficient sign criterion", "original": "0302/0303: конечные степени фактора сумм префиксов дают достаточный знаковый критерий", "status": "internal", "owner": "project", "domain": "coding", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#PrefixQuotientCriterion", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "PrefixQuotientCertificate", "title": "0304: finite quotient certificate; example with a Jordan block in full W", "original": "0304: конечный сертификат фактора; пример с Jordan-блоком в полном W", "status": "internal", "owner": "project", "domain": "coding", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#PrefixQuotientCertificate", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "LogGrowthPowerBound", "title": "0305: logarithmic discrepancy gives only N^k=O(k); size 2 not excluded", "original": "0305: логарифмическое отклонение даёт лишь N^k=O(k), размер2 не исключён", "status": "internal", "owner": "project", "domain": "dynamics", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#LogGrowthPowerBound", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "LogGrowthQuotient", "title": "Open: finiteness of powers of the original quotient from logarithmic discrepancy", "original": "Открыто: конечность степеней исходного фактора из логарифмического отклонения", "status": "open", "owner": "project", "domain": "dynamics", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#LogGrowthQuotient", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "LogDiscrepancyState", "title": "0306: cycles give a finite extended state for logarithmic kernel discrepancies", "original": "0306: циклы дают конечное расширенное состояние при логарифмических отклонениях ядра", "status": "internal", "owner": "project", "domain": "dynamics", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#LogDiscrepancyState", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "SingleLogDiscrepancy", "title": "0307: one original logarithmic estimate suffices to transfer value at high density", "original": "0307: достаточно одной исходной логарифмической оценки для переноса значения при высокой плотности", "status": "internal", "owner": "project", "domain": "dynamics", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#SingleLogDiscrepancy", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "LogDiscrepancyPeriodicity", "title": "0308: rational start iff periodic tail under one logarithmic discrepancy", "original": "0308: рациональный старт iff периодический хвост при одном логарифмическом отклонении", "status": "internal", "owner": "project", "domain": "coding", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#LogDiscrepancyPeriodicity", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "AutomaticUniformFrequency", "title": "0309: ordinary frequency of an automatic word ⇒ common frequency of all windows", "original": "0309: обычная частота автоматического слова ⇒ единая частота всех окон", "status": "internal", "owner": "project", "domain": "coding", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#AutomaticUniformFrequency", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "MultivariateAutomaticSystem", "title": "0310: exact multivariate system and contraction in both completions", "original": "0310: точная многопеременная система и сжатие в обоих пополнениях", "status": "internal", "owner": "project", "domain": "coding", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#MultivariateAutomaticSystem", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "MultivariateLocalBound", "title": "0311: conditional local coefficient bound under homogeneous monomial contraction", "original": "0311: условная локальная оценка коэффициентов при однородном мономиальном сжатии", "status": "internal", "owner": "project", "domain": "dynamics", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#MultivariateLocalBound", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "AlgebraicBranchBoundary", "title": "0312: different rational sums of an algebraic series in two completions", "original": "0312: разные рациональные суммы алгебраического ряда в двух пополнениях", "status": "internal", "owner": "project", "domain": "energy", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#AlgebraicBranchBoundary", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "MonomialProgressionCriterion", "title": "0313: finite criterion for unit and constant monomial relations", "original": "0313: конечный критерий единичных и постоянных мономиальных связей", "status": "internal", "owner": "project", "domain": "dynamics", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#MonomialProgressionCriterion", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "PositiveCoefficientBoundary", "title": "0314: positivity and coefficient estimates do not identify sums", "original": "0314: положительность и оценки коэффициентов не отождествляют суммы", "status": "internal", "owner": "project", "domain": "energy", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#PositiveCoefficientBoundary", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "ToricOrbitClosure", "title": "0315: exact binomial ideal and toric closure of every phase", "original": "0315: точный биномиальный идеал и торическое замыкание каждой фазы", "status": "internal", "owner": "project", "domain": "dynamics", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#ToricOrbitClosure", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "HomogeneousNonvanishing", "title": "0316: analytic nonvanishing criterion with algebraic coefficients", "original": "0316: критерий аналитической ненулевости с алгебраическими коэффициентами", "status": "internal", "owner": "project", "domain": "dynamics", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#HomogeneousNonvanishing", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "NonsingularConeReduction", "title": "0317: invertible rational matrix on the cone after stabilization", "original": "0317: обратимая рациональная матрица на конусе после стабилизации", "status": "internal", "owner": "project", "domain": "dynamics", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#NonsingularConeReduction", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "RationalOrbitNorms", "title": "0318: asymptotic valuation, pointwise heights, and matrix norms", "original": "0318: асимптотическая валюация, точечные высоты и нормы матриц", "status": "internal", "owner": "project", "domain": "coding", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#RationalOrbitNorms", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "AccumulatingPoles", "title": "0319: an admissible basis may lack one common fixed disk", "original": "0319: допустимый базис может не иметь общего фиксированного диска", "status": "internal", "owner": "project", "domain": "dynamics", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#AccumulatingPoles", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "ShrinkingPolydisks", "title": "0320: shrinking disks preserve the local bound", "original": "0320: сужающиеся диски сохраняют локальную оценку", "status": "internal", "owner": "project", "domain": "dynamics", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#ShrinkingPolydisks", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "ConeAuxiliary", "title": "0321: high-order auxiliary polynomials on the cone", "original": "0321: вспомогательные полиномы высокого порядка на конусе", "status": "internal", "owner": "project", "domain": "dynamics", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#ConeAuxiliary", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "ConeRelationMatrix", "title": "0322: relation matrix, analytic branch, and exact cutoffs", "original": "0322: матрица отношений, аналитическая ветвь и точные отсечения", "status": "internal", "owner": "project", "domain": "arithmetic", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#ConeRelationMatrix", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "ConeLocalZero", "title": "0323: local relation W=0 via upper and lower bounds", "original": "0323: локальная связь W=0 через верхнюю и нижнюю оценки", "status": "internal", "owner": "project", "domain": "dynamics", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#ConeLocalZero", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "BrechlerScope", "title": "0324: Brechler 2026 source and diagonal-scaling boundary checked", "original": "0324: проверены источник Brechler2026 и граница диагонального масштабирования", "status": "internal", "owner": "project", "domain": "dynamics", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#BrechlerScope", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "ConeGermInjection", "title": "0325: radial injection of convergent classes into germs", "original": "0325: радиальная инъекция сходящихся классов в ростки", "status": "internal", "owner": "project", "domain": "dynamics", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#ConeGermInjection", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "ConeFieldRegularity", "title": "0329: regularity of normalized field through parameters and BCNZ", "original": "0329: регулярность нормированного поля через параметры и BCNZ", "status": "internal", "owner": "project", "domain": "dynamics", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#ConeFieldRegularity", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "ConeConditionalDescent", "title": "0325: rational formal descent CONDITIONAL ON regularity", "original": "0325: рациональный формальный спуск ПРИ УСЛОВИИ регулярности", "status": "internal", "owner": "project", "domain": "dynamics", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#ConeConditionalDescent", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "FullConeTransfer", "title": "0326: transfer for automatic words on the full cone", "original": "0326: перенос для автоматических слов при полном конусе", "status": "internal", "owner": "project", "domain": "dynamics", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#FullConeTransfer", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "NeutralToricTwist", "title": "0327: cone normalization, polynomial logarithms of factors, and contraction", "original": "0327: нормировка конуса, полиномиальные логарифмы множителей и сжатие", "status": "internal", "owner": "project", "domain": "dynamics", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#NeutralToricTwist", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "ToricMeromorphic", "title": "0328: meromorphic representatives at all places", "original": "0328: мероморфные представители во всех местах", "status": "internal", "owner": "project", "domain": "coding", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#ToricMeromorphic", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "BeyondLogTransfer", "title": "0330: frequency-bearing automatic code — rationality iff periodicity", "original": "0330: автоматический код с частотой — рациональность iff периодичность", "status": "internal", "owner": "project", "domain": "dynamics", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#BeyondLogTransfer", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "AutomaticNoFrequency", "title": "Negative rational automatic codes without frequency: general conclusion open", "original": "Отрицательные рациональные автоматические коды без частоты: общий вывод открыт", "status": "open", "owner": "project", "domain": "coding", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#AutomaticNoFrequency", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "FrequencyFreePadic", "title": "0331: local estimates without D=o via S-units", "original": "0331: локальные оценки без D=o через S-единицы", "status": "internal", "owner": "project", "domain": "coding", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#FrequencyFreePadic", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "PositiveAutomatic", "title": "0332: positive rational automatic orbits are eventually periodic", "original": "0332: положительные рациональные автоматические орбиты периодичны в конце концов", "status": "internal", "owner": "project", "domain": "coding", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#PositiveAutomatic", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "PrimitiveWeightedGeometry", "title": "0333: weighted cone and neutral normalization", "original": "0333: взвешенный конус и нейтральная нормировка", "status": "internal", "owner": "project", "domain": "dynamics", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#PrimitiveWeightedGeometry", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "WeightedFieldRegularity", "title": "0334: field regularity on the weighted cone", "original": "0334: регулярность поля на взвешенном конусе", "status": "internal", "owner": "project", "domain": "dynamics", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#WeightedFieldRegularity", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "WeightedConeAuxiliary", "title": "0335: auxiliary polynomials with integer weights", "original": "0335: вспомогательные полиномы с целыми весами", "status": "internal", "owner": "project", "domain": "dynamics", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#WeightedConeAuxiliary", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "NonuniformPrimitiveSystem", "title": "0336: exact system for a nonuniform word", "original": "0336: точная система неравномерного слова", "status": "internal", "owner": "project", "domain": "dynamics", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#NonuniformPrimitiveSystem", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "PerronPadicEstimate", "title": "0337: estimates on a nonuniform 2-adic orbit", "original": "0337: оценки на неравномерной 2-адической орбите", "status": "internal", "owner": "project", "domain": "coding", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#PerronPadicEstimate", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "WeightedLocalZero", "title": "0338: local relation W≡0", "original": "0338: локальная связь W≡0", "status": "internal", "owner": "project", "domain": "dynamics", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#WeightedLocalZero", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "WeightedRationalLifting", "title": "0339: rational lifting of a weighted phase", "original": "0339: рациональный подъём взвешенной фазы", "status": "internal", "owner": "project", "domain": "coding", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#WeightedRationalLifting", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "PrimitiveCodedPeriodic", "title": "0340: periodicity of primitive rational codes", "original": "0340: периодичность примитивных рациональных кодов", "status": "internal", "owner": "project", "domain": "coding", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#PrimitiveCodedPeriodic", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "PrimitiveBlockCodes", "title": "0341: block codes and accelerated cycles", "original": "0341: блочные коды и ускоренные циклы", "status": "internal", "owner": "project", "domain": "coding", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#PrimitiveBlockCodes", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "UniformRecurrentMorphic", "title": "0342: recurrent morphic codes", "original": "0342: рекуррентные морфические коды", "status": "internal", "owner": "project", "domain": "coding", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#UniformRecurrentMorphic", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "GrowingNonprimitiveGeometry", "title": "0343: geometry of a growing morphism", "original": "0343: геометрия растущего морфизма", "status": "internal", "owner": "project", "domain": "dynamics", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#GrowingNonprimitiveGeometry", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "CommonGrowthFrequency", "title": "0344: common scale and frequency criterion", "original": "0344: общий масштаб и критерий частоты", "status": "internal", "owner": "project", "domain": "dynamics", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#CommonGrowthFrequency", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "GrowingSystemRegularity", "title": "0345: system and field regularity", "original": "0345: система и регулярность поля", "status": "internal", "owner": "project", "domain": "dynamics", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#GrowingSystemRegularity", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "CommonScalePadic", "title": "0346: 2-adic estimates under (G)", "original": "0346: 2-адические оценки при(G)", "status": "internal", "owner": "project", "domain": "coding", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#CommonScalePadic", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "DiscountedMorphicDensity", "title": "0347: initial densities through selection", "original": "0347: начальные плотности через выбор", "status": "internal", "owner": "project", "domain": "coding", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#DiscountedMorphicDensity", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "CommonScaleLifting", "title": "0348: rational lifting under (G)", "original": "0348: рациональный подъём при(G)", "status": "internal", "owner": "project", "domain": "dynamics", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#CommonScaleLifting", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "CommonGrowthRational", "title": "0349: rational codes under (G)", "original": "0349: рациональные коды при(G)", "status": "internal", "owner": "project", "domain": "coding", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#CommonGrowthRational", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "IndividualGrowthTypes", "title": "0350: individual growth types", "original": "0350: индивидуальные типы роста", "status": "internal", "owner": "project", "domain": "dynamics", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#IndividualGrowthTypes", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "MultiscaleDensity", "title": "0351: densities at different scales", "original": "0351: плотности при разных масштабах", "status": "internal", "owner": "project", "domain": "dynamics", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#MultiscaleDensity", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "NonerasingDensity", "title": "0352: bounded letters and densities", "original": "0352: ограниченные буквы и плотности", "status": "internal", "owner": "project", "domain": "dynamics", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#NonerasingDensity", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "GeneralMorphicDensity", "title": "0353: general morphic densities", "original": "0353: общие морфические плотности", "status": "internal", "owner": "project", "domain": "coding", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#GeneralMorphicDensity", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "FastFaceGrading", "title": "0354: fastest face and heights", "original": "0354: самая быстрая грань и высоты", "status": "internal", "owner": "project", "domain": "dynamics", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#FastFaceGrading", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "RelativeLatticeBase", "title": "0355: saturated relative base", "original": "0355: насыщенная относительная база", "status": "internal", "owner": "project", "domain": "dynamics", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#RelativeLatticeBase", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "RelativeAuxiliary", "title": "0356: relative auxiliary polynomial", "original": "0356: относительный вспомогательный полином", "status": "internal", "owner": "project", "domain": "dynamics", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#RelativeAuxiliary", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "MaximalScalePadic", "title": "0357: local norms at maximal scale", "original": "0357: локальные нормы на максимальной шкале", "status": "internal", "owner": "project", "domain": "coding", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#MaximalScalePadic", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "FastRelativeTail", "title": "0358: fast tail and base coefficients", "original": "0358: быстрый хвост и коэффициенты базы", "status": "internal", "owner": "project", "domain": "dynamics", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#FastRelativeTail", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "RelativeLocalZero", "title": "0359: local vanishing", "original": "0359: локальное зануление", "status": "internal", "owner": "project", "domain": "dynamics", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#RelativeLocalZero", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "GrowingRationalLifting", "title": "0360: rational descent as all letters grow", "original": "0360: рациональный спуск при росте всех букв", "status": "internal", "owner": "project", "domain": "coding", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#GrowingRationalLifting", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "GrowingBanachDensity", "title": "0361: densities of all windows of growing words", "original": "0361: плотности всех окон растущих слов", "status": "internal", "owner": "project", "domain": "dynamics", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#GrowingBanachDensity", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "AllGrowingRationalCodes", "title": "0362: nonnegative rational codes of growing words", "original": "0362: неотрицательные рациональные коды растущих слов", "status": "internal", "owner": "project", "domain": "coding", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#AllGrowingRationalCodes", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "BoundedLetterAnalytic", "title": "0363: bounded letters and analytic series", "original": "0363: ограниченные буквы и аналитические ряды", "status": "internal", "owner": "project", "domain": "dynamics", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#BoundedLetterAnalytic", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "BoundedLetterGeometry", "title": "0364: geometry with fixed coordinates", "original": "0364: геометрия с фиксированными координатами", "status": "internal", "owner": "project", "domain": "dynamics", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#BoundedLetterGeometry", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "BoundedLetterSystem", "title": "0365: system and field regularity", "original": "0365: система и регулярность поля", "status": "internal", "owner": "project", "domain": "dynamics", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#BoundedLetterSystem", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "BoundedLetterFastData", "title": "0366: fast powers and fixed heights", "original": "0366: быстрые степени и фиксированные высоты", "status": "internal", "owner": "project", "domain": "dynamics", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#BoundedLetterFastData", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "BoundedLetterLocal", "title": "0367: local disks and conditional tail", "original": "0367: локальные диски и условный хвост", "status": "internal", "owner": "project", "domain": "dynamics", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#BoundedLetterLocal", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "BoundedLetterJoin", "title": "0369: exact local relation", "original": "0369: точная локальная связь", "status": "internal", "owner": "project", "domain": "dynamics", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#BoundedLetterJoin", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "BoundedLetterBasisValues", "title": "0370: independent basis and value transfer", "original": "0370: независимый базис и перенос значений", "status": "internal", "owner": "project", "domain": "dynamics", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#BoundedLetterBasisValues", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "BoundedLetterRationalCodes", "title": "0371: rational codes under exponential G and bounded B", "original": "0371: рациональные коды при экспоненциальных G и ограниченных B", "status": "internal", "owner": "project", "domain": "coding", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#BoundedLetterRationalCodes", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "ExactWordMatrixHeight", "title": "0372: exact word-matrix height", "original": "0372: точная высота матрицы слова", "status": "internal", "owner": "project", "domain": "arithmetic", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#ExactWordMatrixHeight", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "QScalingFiniteCover", "title": "0373: one-dimensional regularity under t↦qt", "original": "0373: одномерная регулярность при t↦qt", "status": "internal", "owner": "project", "domain": "dynamics", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#QScalingFiniteCover", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "TorusPeriodicDivisor", "title": "0374: dense orbit excludes a periodic divisor", "original": "0374: плотная орбита исключает периодический дивизор", "status": "internal", "owner": "project", "domain": "coding", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#TorusPeriodicDivisor", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "TorusCoverSources", "title": "0375: purity and torus covers checked", "original": "0375: проверены чистота и покрытия тора", "status": "internal", "owner": "project", "domain": "dynamics", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#TorusCoverSources", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "FormalCharacterRoots", "title": "0376: exclusion of character roots in the formal field", "original": "0376: запрет корней характеров в формальном поле", "status": "internal", "owner": "project", "domain": "dynamics", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#FormalCharacterRoots", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "TorusFormalRegularity", "title": "0377: conditional regularity of the actual formal field", "original": "0377: условная регулярность фактического формального поля", "status": "internal", "owner": "project", "domain": "dynamics", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#TorusFormalRegularity", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "FormalWordField", "title": "0378: actual field of the formal word system", "original": "0378: фактическое поле формальной системы слов", "status": "internal", "owner": "project", "domain": "coding", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#FormalWordField", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "BoundedFormalSpecialization", "title": "0379: bounded tail and formal specialization", "original": "0379: ограниченный хвост и формальная специализация", "status": "internal", "owner": "project", "domain": "dynamics", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#BoundedFormalSpecialization", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "PolynomialTorusGeometry", "title": "0380: dense polynomial phase and integral automorphism", "original": "0380: плотная полиномиальная фаза и целый автоморфизм", "status": "internal", "owner": "project", "domain": "dynamics", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#PolynomialTorusGeometry", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "PolynomialWordField", "title": "0381: actual polynomial field and rational descent", "original": "0381: фактическое полиномиальное поле и рациональный спуск", "status": "internal", "owner": "project", "domain": "coding", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#PolynomialWordField", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "PolynomialActualValueStage", "title": "0382: actual phase values and exact heights", "original": "0382: настоящие фазовые значения и точные высоты", "status": "internal", "owner": "project", "domain": "dynamics", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#PolynomialActualValueStage", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "QFixedOrderBarrier", "title": "0383: fixed-multiplicity boundary", "original": "0383: предел фиксированной кратности", "status": "internal", "owner": "project", "domain": "dynamics", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#QFixedOrderBarrier", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "PolynomialTopDegreeTail", "title": "0384: finite top layer and exact tail", "original": "0384: конечный верхний слой и точный хвост", "status": "internal", "owner": "project", "domain": "dynamics", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#PolynomialTopDegreeTail", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "MultilinearThetaFormula", "title": "0385: exact theta combination", "original": "0385: точная тета-комбинация", "status": "internal", "owner": "project", "domain": "arithmetic", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#MultilinearThetaFormula", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "TwoGrowingBlocks", "title": "0386: rationality of two repeating components", "original": "0386: рациональность двух повторяемых компонентов", "status": "internal", "owner": "project", "domain": "dynamics", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#TwoGrowingBlocks", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "MultilinearCancellation", "title": "0387: cancellations and periodicity", "original": "0387: сокращения и периодичность", "status": "internal", "owner": "project", "domain": "dynamics", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#MultilinearCancellation", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "MultilinearArithmeticThreshold", "title": "0388: sufficient threshold from residual arguments", "original": "0388: достаточный порог по остаточным аргументам", "status": "internal", "owner": "project", "domain": "dynamics", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#MultilinearArithmeticThreshold", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "MultilinearFullThresholdBoundary", "title": "0389: family outside the direct full threshold", "original": "0389: семья вне прямого полного порога", "status": "internal", "owner": "project", "domain": "energy", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#MultilinearFullThresholdBoundary", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "OtherQPrimaryScope", "title": "0390: domains of two primary q-theorems", "original": "0390: области двух первичных q-теорем", "status": "internal", "owner": "project", "domain": "dynamics", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#OtherQPrimaryScope", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "ThetaPadeVandermonde", "title": "0391: exact Padé and 2-adic error", "original": "0391: точный Паде и 2-адическая ошибка", "status": "internal", "owner": "project", "domain": "arithmetic", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#ThetaPadeVandermonde", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "ThetaPadeCommonHeight", "title": "0392: common denominator and height", "original": "0392: общий знаменатель и высота", "status": "internal", "owner": "project", "domain": "arithmetic", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#ThetaPadeCommonHeight", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "ThetaPadeGaussianHeight", "title": "0393: denominator reduction", "original": "0393: сокращение знаменателя", "status": "internal", "owner": "project", "domain": "arithmetic", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#ThetaPadeGaussianHeight", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "ThetaPadeOnePairDivisor", "title": "0394: odd divisor of one pair", "original": "0394: нечётный делитель одной пары", "status": "internal", "owner": "project", "domain": "arithmetic", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#ThetaPadeOnePairDivisor", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "ThetaPadeType2Open", "title": "0395: general type-II Padé and rank", "original": "0395: общий Паде типаII и ранг", "status": "internal", "owner": "project", "domain": "arithmetic", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#ThetaPadeType2Open", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "ThetaPadeType2Integral", "title": "0396: integer matrix and threshold", "original": "0396: целая матрица и порог", "status": "internal", "owner": "project", "domain": "arithmetic", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#ThetaPadeType2Integral", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "ThetaPadeType2Projective", "title": "0397: true common height", "original": "0397: истинная общая высота", "status": "internal", "owner": "project", "domain": "arithmetic", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#ThetaPadeType2Projective", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "ThetaScalarHankel", "title": "0398: scalar Padé combination", "original": "0398: скалярное Паде комбинации", "status": "internal", "owner": "project", "domain": "arithmetic", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#ThetaScalarHankel", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "ThetaScalarShift", "title": "0399: conditional shift criterion", "original": "0399: условный критерий сдвигов", "status": "internal", "owner": "project", "domain": "arithmetic", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#ThetaScalarShift", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "ThetaScalarMinorGcd", "title": "0400: exact relation E=U/G", "original": "0400: точное отношение E=U/G", "status": "internal", "owner": "project", "domain": "arithmetic", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#ThetaScalarMinorGcd", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "ThetaCyclotomicMinorDivisor", "title": "0401: common cyclotomic divisor; identity known", "original": "0401: общий циклотомический делитель; тождество известно", "status": "internal", "owner": "project", "domain": "arithmetic", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#ThetaCyclotomicMinorDivisor", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "ThetaSpecialCyclotomic", "title": "0402: special divisor; summandwise exactness", "original": "0402: специальный делитель; послагаемая точность", "status": "internal", "owner": "project", "domain": "arithmetic", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#ThetaSpecialCyclotomic", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "ThetaRootRank", "title": "0403: exact rank of the sum at roots of unity", "original": "0403: точный ранг суммы при корнях из единицы", "status": "internal", "owner": "project", "domain": "arithmetic", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#ThetaRootRank", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "ThetaSummedMultiplicity", "title": "0404: exact summed multiplicities in the stated domain", "original": "0404: точные кратности суммы в указанной области", "status": "internal", "owner": "project", "domain": "arithmetic", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#ThetaSummedMultiplicity", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "ThetaThreeLayerMultiplicity", "title": "0405: all sizes when v₃(d)=1", "original": "0405: все размеры при v₃(d)=1", "status": "internal", "owner": "project", "domain": "arithmetic", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#ThetaThreeLayerMultiplicity", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "ThetaOddOrderGcd", "title": "0406: exact polynomial gcd for 18∤d", "original": "0406: точный полиномиальный НОД для 18∤d", "status": "internal", "owner": "project", "domain": "arithmetic", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#ThetaOddOrderGcd", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "ThetaOverlapGcdScope", "title": "0407: size of the specified overlap; known tool", "original": "0407: размер заданного пересечения; известный инструмент", "status": "internal", "owner": "project", "domain": "arithmetic", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#ThetaOverlapGcdScope", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "ThetaWeightCancellation", "title": "0408: weight cancellation; actual factor 11", "original": "0408: сокращение веса; настоящий множитель 11", "status": "internal", "owner": "project", "domain": "arithmetic", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#ThetaWeightCancellation", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "ThetaPrimeSquare", "title": "0409: exact first divisibility depth at 11", "original": "0409: точная первая глубина делимости по 11", "status": "internal", "owner": "project", "domain": "arithmetic", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#ThetaPrimeSquare", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "ThetaRankIncrement", "title": "0410: rank increment to Γ* — o(H²)", "original": "0410: ранговая добавка к Γ* — o(H²)", "status": "internal", "owner": "project", "domain": "arithmetic", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#ThetaRankIncrement", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "ThetaSpectralCertificate", "title": "0411: spectral increment to Γ* — o(H³)", "original": "0411: спектральная добавка к Γ* — o(H³)", "status": "internal", "owner": "project", "domain": "arithmetic", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#ThetaSpectralCertificate", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "ThetaFiniteWindow", "title": "0412: short window at 13 outside the certificate", "original": "0412: короткое окно по 13 вне сертификата", "status": "internal", "owner": "project", "domain": "arithmetic", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#ThetaFiniteWindow", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "ThetaPadicWindowDescent", "title": "0413: exact depths for order 2 at every H", "original": "0413: точные глубины для порядка 2 при всех H", "status": "internal", "owner": "project", "domain": "arithmetic", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#ThetaPadicWindowDescent", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "ThetaDiagonalResidue", "title": "0414: three residues under conditions 413", "original": "0414: три остатка при условиях 413", "status": "internal", "owner": "project", "domain": "arithmetic", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#ThetaDiagonalResidue", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "ThetaExcessPeriodicity", "title": "0415: periodicity of the truncated local excess", "original": "0415: период усечённой локальной добавки", "status": "internal", "owner": "project", "domain": "arithmetic", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#ThetaExcessPeriodicity", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "ThetaDualOrderFour", "title": "0416: exact G part at order 4 and residue 6", "original": "0416: точная часть G при порядке 4 и остатке 6", "status": "internal", "owner": "project", "domain": "arithmetic", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#ThetaDualOrderFour", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "ThetaScalarDenominatorOpen", "title": "Open: sufficiently small denominator outside 2,3", "original": "Открыто: достаточно малый знаменатель вне2,3", "status": "open", "owner": "project", "domain": "arithmetic", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#ThetaScalarDenominatorOpen", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "PolynomialNumericTransferOpen", "title": "Numerical transfer for polynomial growth is open", "original": "Открыт числовой перенос для полиномиального роста", "status": "open", "owner": "project", "domain": "dynamics", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#PolynomialNumericTransferOpen", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "PolynomialLetterBarrier", "title": "0368: example boundary of the analytic method", "original": "0368: пример границы аналитического метода", "status": "internal", "owner": "project", "domain": "dynamics", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#PolynomialLetterBarrier", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "PadicLocalBound", "title": "0292/0294: conditional local UB on a common Tate disk", "original": "0292/0294: условный локальный UB на общем Tate-диске", "status": "internal", "owner": "project", "domain": "coding", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#PadicLocalBound", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "PadicAuxiliaryAlgebra", "title": "0293/0295: common degree; one field K; nonvanishing and LB", "original": "0293/0295: общая степень; одно поле K; ненулевость и LB", "status": "internal", "owner": "project", "domain": "coding", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#PadicAuxiliaryAlgebra", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "PadicLocalDescent", "title": "0296: local algebraic relation conditionally yields formal polynomial", "original": "0296: локальная алгебраическая связь условно даёт формальную полиномиальную", "status": "internal", "owner": "project", "domain": "coding", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#PadicLocalDescent", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "ZeroPeriodHeight", "title": "0198/0201: V=0^d, h/A#≤9(d+1); two relative margins are equivalent", "original": "0198/0201: V=0^d, h/A#≤9(d+1); две относительные маржи эквивалентны", "status": "internal", "owner": "project", "domain": "coding", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#ZeroPeriodHeight", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "OnePeriodHeight", "title": "0202–0204/0206: V=1^d, exact comparison; for fixed rational nonperiodic start h/A#≤3 on the tail", "original": "0202–0204/0206: V=1^d, точное сравнение; для фиксированного рационального непериодического старта h/A#≤3 на хвосте", "status": "internal", "owner": "project", "domain": "coding", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#OnePeriodHeight", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "AutomaticBanachDensity", "title": "0175/0177: lower density of all windows of an automatic word is rational; exact projector", "original": "0175/0177: нижняя плотность всех окон автоматического слова рациональна; точный проектор", "status": "internal", "owner": "project", "domain": "coding", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#AutomaticBanachDensity", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "AutomaticOriginKnown", "title": "Bell–Monks 0179: a rational nonperiodic automatic code requires initial liminf greater than log2/log3; real series converges", "original": "Bell–Monks0179: рациональный непериодический автоматический код требует начальный liminf больше log2/log3; вещественный ряд сходится", "status": "internal", "owner": "other", "domain": "literature", "author": "Published input / project annotation", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#AutomaticOriginKnown", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "PeriodicPatchBoundary", "title": "0178/0180/0182: exact boundary of periodic patches; growing period and two different contractions", "original": "0178/0180/0182: точная граница периодических участков; растущий период и два разных сокращения", "status": "internal", "owner": "project", "domain": "coding", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#PeriodicPatchBoundary", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "JointValueSelection", "title": "Select specifically the 2-adic value from joint M21 — open", "original": "Выбрать именно 2-адическое значение из совместного M21 — открыто", "status": "open", "owner": "project", "domain": "dynamics", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#JointValueSelection", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "FrequencyFreeSubspace", "title": "0151/0153: mean frequency is unnecessary with positive relative exact-height margin", "original": "0151/0153: средняя частота не нужна при положительной относительной марже точной высоты", "status": "internal", "owner": "project", "domain": "coding", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#FrequencyFreeSubspace", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "PrimitiveHeightSubspace", "title": "0157: positive relative margin of primitive height h=H(X/g) suffices", "original": "0157: достаточно положительной относительной маржи примитивной высоты h=H(X/g)", "status": "internal", "owner": "project", "domain": "coding", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#PrimitiveHeightSubspace", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "RationalHeightLower", "title": "0159: an actual rational nonperiodic start A/B must have h >= 2^N/(B+|A|)", "original": "0159: у настоящего рационального непериодического старта A/B необходимо h≥2^N/(B+|A|)", "status": "internal", "owner": "project", "domain": "coding", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#RationalHeightLower", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "LongConstantRuns", "title": "0164/0166/0174: fixed-period runs q/i≥log₂3−1+η imply transcendence; mean frequency unnecessary", "original": "0164/0166/0174: участки фиксированного периода q/i≥log₂3−1+η ⇒ трансцендентность; средняя частота не нужна", "status": "internal", "owner": "project", "domain": "dynamics", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#LongConstantRuns", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "RationalRunBoundary", "title": "0168: for rational start outside tails 0,−1, 2^q≤(3/2)^i(|A|+B); rational exclusion is already elementary", "original": "0168: у рационального старта вне хвостов0,−1 необходимо 2^q≤(3/2)^i(|A|+B); рациональное исключение уже элементарно", "status": "internal", "owner": "project", "domain": "coding", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#RationalRunBoundary", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "ComplexityBoundary", "title": "0158/0160: dense automatic Thue–Morse image lies strictly outside M20 frequency-complexity consequence; earlier M3 covers it", "original": "0158/0160: плотный автоматический образ Туэ–Морса строго вне частотно-сложностного следствия M20; прежний M3 его охватывает", "status": "internal", "owner": "project", "domain": "coding", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#ComplexityBoundary", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "OddAffineSubspace", "title": "0154/0156: same criterion for all nonzero odd a,b, including negative values and a=±1", "original": "0154/0156: тот же критерий для всех ненулевых нечётных a,b, включая отрицательные и a=±1", "status": "internal", "owner": "project", "domain": "coding", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#OddAffineSubspace", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "SparsePowerCode", "title": "0155: zeros at powers of 2; frequency 1, complexity at 2^k is 1.5·2^k+O(1); start transcendental", "original": "0155: нули на степенях2; частота1, сложность на2^k равна1.5·2^k+O(1); старт трансцендентен", "status": "internal", "owner": "project", "domain": "coding", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#SparsePowerCode", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "DigitalTranscendence", "title": "When B>m and 3^(mR)<2^(BΛ): periodic start rational, all others transcendental; B≥2m covered", "original": "При B>m и 3^(mR)<2^(BΛ): периодический старт рационален, остальные трансцендентны; B≥2m покрыто", "status": "internal", "owner": "project", "domain": "coding", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#DigitalTranscendence", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "ThreeTranscendence", "title": "M20: all six nonconstant popcount mod 3 projections and selected H(α) are transcendental", "original": "M20: все шесть непостоянных проекций popcount mod3 и выбранное H(α) трансцендентны", "status": "internal", "owner": "project", "domain": "coding", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#ThreeTranscendence", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "CoefficientSource", "title": "Known Bell–Smertnig: coefficient theorem; formal application to D_x checked", "original": "Известная Bell–Smertnig: коэффициентная теорема; формальное применение к D_x проверено", "status": "internal", "owner": "other", "domain": "literature", "author": "Published input / project annotation", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#CoefficientSource", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "WeightedCurve", "title": "0067: for nonperiodic x, Fσ(z^r,z^s) is transcendental on the invariant curve", "original": "0067: для непериодического x значение Fσ(z^r,z^s) трансцендентно на инвариантной кривой", "status": "internal", "owner": "project", "domain": "dynamics", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#WeightedCurve", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "RationalPFNonzero", "title": "0066: outside the curve, analytic lemma holds for rational coefficients with |μ|≥2", "original": "0066: вне кривой аналитическая лемма верна для рациональных коэффициентов при |μ|≥2", "status": "internal", "owner": "project", "domain": "coding", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#RationalPFNonzero", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "LocalCounter", "title": "0066: explicit counterexample to extending the lemma to arbitrary 2-adic coefficients", "original": "0066: явный контрпример к расширению леммы на произвольные 2-адические коэффициенты", "status": "internal", "owner": "project", "domain": "dynamics", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#LocalCounter", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "Full", "title": "Full Collatz — unproved", "original": "Полный Коллатц — не доказан", "status": "open", "owner": "project", "domain": "dynamics", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#Full", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "ThetaIntegralDuality", "title": "0417: integral duality; window no larger than (d−1)×d", "original": "0417: интегральная двойственность; окно не больше (d−1)×d", "status": "internal", "owner": "project", "domain": "arithmetic", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#ThetaIntegralDuality", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "ThetaLocalExceptions", "title": "0418: number of exception classes is bounded up to depth e", "original": "0418: ограничено число классов исключений до глубины e", "status": "internal", "owner": "project", "domain": "arithmetic", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#ThetaLocalExceptions", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "ThetaKrylovCandidate", "title": "0419: conditional modular depth certificate", "original": "0419: условный модульный сертификат глубины", "status": "internal", "owner": "project", "domain": "arithmetic", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#ThetaKrylovCandidate", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "ThetaOrderFourSecond", "title": "0420: order 4, residue 2; possible primes divide 151897", "original": "0420: порядок4, остаток2; возможные простые делят151897", "status": "internal", "owner": "project", "domain": "arithmetic", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#ThetaOrderFourSecond", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "ThetaFormalKrylov", "title": "0421: formal detK nonzero; finite truncated certificate", "original": "0421: формальное detK ненулевое; конечный усечённый сертификат", "status": "internal", "owner": "project", "domain": "arithmetic", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#ThetaFormalKrylov", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "ThetaOneRowResultant", "title": "0422: explicit nonzero resultant of the dual row and its height", "original": "0422: явный ненулевой результант двойственной строки и его высота", "status": "internal", "owner": "project", "domain": "arithmetic", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#ThetaOneRowResultant", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "ThetaCubicLocation", "title": "0423: truncated orders d <= C H contribute only O(H^2), for each fixed C", "original": "0423: все усечённые малые порядки дают лишь O(H²)", "status": "internal", "owner": "project", "domain": "arithmetic", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#ThetaCubicLocation", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "ThetaDeepExcessOpen", "title": "Open: general bound for depths above e", "original": "Открыто: неусечённая глубина и сумма по простым", "status": "open", "owner": "project", "domain": "arithmetic", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#ThetaDeepExcessOpen", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "ThetaLargeOrderOpen", "title": "Open: general bound for large orders", "original": "Открыто: общая оценка больших порядков", "status": "open", "owner": "project", "domain": "arithmetic", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#ThetaLargeOrderOpen", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "ThetaFirstJet", "title": "0424: conditional bound for full depth from the first coefficient", "original": "0424: условная оценка полной глубины по первому коэффициенту", "status": "internal", "owner": "project", "domain": "arithmetic", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#ThetaFirstJet", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "ThetaJetWidth", "title": "0425: under the stated hypotheses (including m >= 2), the first certificate has degree less than 4d, independent of H", "original": "0425: первый сертификат степени меньше 4d при любой длине", "status": "internal", "owner": "project", "domain": "arithmetic", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#ThetaJetWidth", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "ThetaJetExplicit", "title": "Theta Jet Explicit", "original": "0426–0427: явная формула первого остатка", "status": "internal", "owner": "project", "domain": "arithmetic", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#ThetaJetExplicit", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "ThetaJetLengthFactor", "title": "Theta Jet Length Factor", "original": "0426–0427: обязательный множитель длины m", "status": "internal", "owner": "project", "domain": "arithmetic", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#ThetaJetLengthFactor", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "ThetaJetPhase", "title": "Theta Jet Phase", "original": "0428: точная фазовая формула после снятия m", "status": "internal", "owner": "project", "domain": "arithmetic", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#ThetaJetPhase", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "ThetaJetIdealBarrier", "title": "Theta Jet Ideal Barrier", "original": "0428: первый остаток наследует делимость малого окна", "status": "internal", "owner": "project", "domain": "arithmetic", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#ThetaJetIdealBarrier", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "ThetaSecondWindow", "title": "Theta Second Window", "original": "0428: следующее малое окно до уровня 2e", "status": "internal", "owner": "project", "domain": "arithmetic", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#ThetaSecondWindow", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "ThetaQuotientJetOpen", "title": "Theta Quotient Jet Open", "original": "Открыто: настоящая совместная отмена и ненулевость наклона", "status": "open", "owner": "project", "domain": "arithmetic", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#ThetaQuotientJetOpen", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "ThetaQuotientJetExplicit", "title": "Theta Quotient Jet Explicit", "original": "0429–0430: полный первый коэффициент малого частного", "status": "internal", "owner": "project", "domain": "arithmetic", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#ThetaQuotientJetExplicit", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "ThetaSecondAffine", "title": "Theta Second Affine", "original": "0431: точное окно до 2e, аффинное по длине", "status": "internal", "owner": "project", "domain": "arithmetic", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#ThetaSecondAffine", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "ThetaSecondPeriod", "title": "Theta Second Period", "original": "0431: достаточный период глубины, усечённой на 2e", "status": "internal", "owner": "project", "domain": "arithmetic", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#ThetaSecondPeriod", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "ThetaSecondLift", "title": "Theta Second Lift", "original": "0431: условный линейный тест второго подъёма при e=1", "status": "internal", "owner": "project", "domain": "arithmetic", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#ThetaSecondLift", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "ThetaLinearQuotient", "title": "Theta Linear Quotient", "original": "0432–0433: явный линейный коэффициент E1", "status": "internal", "owner": "project", "domain": "arithmetic", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#ThetaLinearQuotient", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "ThetaLinearIdealClass", "title": "Theta Linear Ideal Class", "original": "0432–0433: пять оставшихся частей E1 по идеалу окна", "status": "internal", "owner": "project", "domain": "arithmetic", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#ThetaLinearIdealClass", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "ThetaResidualCountermodel", "title": "Theta Residual Countermodel", "original": "0434–0435: свободные веса опровергают общую отмену", "status": "internal", "owner": "project", "domain": "arithmetic", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#ThetaResidualCountermodel", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "ThetaActualWeightDrift", "title": "Theta Actual Weight Drift", "original": "0435: явный полином настоящего весового дрейфа", "status": "internal", "owner": "project", "domain": "arithmetic", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#ThetaActualWeightDrift", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "ThetaFiniteLevelBudget", "title": "Theta Finite Level Budget", "original": "0435: фиксированные уровни не дают кубический бюджет", "status": "internal", "owner": "project", "domain": "arithmetic", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#ThetaFiniteLevelBudget", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "ThetaAllAssignments", "title": "Theta All Assignments", "original": "0436–0437: целая нормировка всех назначений", "status": "internal", "owner": "project", "domain": "arithmetic", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#ThetaAllAssignments", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "ThetaAnyDepthCertificate", "title": "Theta Any Depth Certificate", "original": "0437: любая конечная точность — следствие425", "status": "internal", "owner": "project", "domain": "arithmetic", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#ThetaAnyDepthCertificate", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "ThetaGaussianSeries", "title": "Theta Gaussian Series", "original": "0437: полный сходящийся гауссов ряд при A", "status": "internal", "owner": "project", "domain": "arithmetic", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#ThetaGaussianSeries", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "ThetaLengthAnalytic", "title": "Theta Length Analytic", "original": "0438: аналитичность по длине на p-адических ветвях", "status": "internal", "owner": "project", "domain": "arithmetic", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#ThetaLengthAnalytic", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "ThetaFiniteZeroCenters", "title": "Theta Finite Zero Centers", "original": "0438: конечные центры глубокой делимости при A", "status": "internal", "owner": "project", "domain": "arithmetic", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#ThetaFiniteZeroCenters", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "ThetaZeroArithmeticOpen", "title": "Theta Zero Arithmetic Open", "original": "Открыто: настоящие центры и приближение целыми", "status": "open", "owner": "project", "domain": "arithmetic", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#ThetaZeroArithmeticOpen", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "ThetaZeroCount", "title": "Theta Zero Count", "original": "0439–0440: явная верхняя граница числа центров", "status": "internal", "owner": "project", "domain": "arithmetic", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#ThetaZeroCount", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "ThetaAlgebraicCenterConditional", "title": "Theta Algebraic Center Conditional", "original": "0439–0440: если центры алгебраичны, глубина логарифмична", "status": "internal", "owner": "project", "domain": "arithmetic", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#ThetaAlgebraicCenterConditional", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "ThetaFixedPrimeFullDepth", "title": "Theta Fixed Prime Full Depth", "original": "0439–0440: полная глубина фиксированных простых на большинстве длин и одной прогрессии", "status": "internal", "owner": "project", "domain": "arithmetic", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#ThetaFixedPrimeFullDepth", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "ThetaSubsequenceCriterion", "title": "Theta Subsequence Criterion", "original": "0439–0440: достаточен успех знаменателя на подпоследовательности", "status": "internal", "owner": "project", "domain": "arithmetic", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#ThetaSubsequenceCriterion", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "ThetaNormalizedNeighbors", "title": "Theta Normalized Neighbors", "original": "0439–0440: точные сокращённые тождества соседних размеров", "status": "internal", "owner": "project", "domain": "arithmetic", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#ThetaNormalizedNeighbors", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "ThetaCenterTransferAlternative", "title": "Theta Center Transfer Alternative", "original": "0439–0440: перенос общего центра либо нуль соседнего скаляра", "status": "internal", "owner": "project", "domain": "arithmetic", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#ThetaCenterTransferAlternative", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "ThetaGenericZeroBarrier", "title": "Theta Generic Zero Barrier", "original": "0441: общий нуль совместим с общими тождествами", "status": "internal", "owner": "project", "domain": "arithmetic", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#ThetaGenericZeroBarrier", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "ThetaFixedPrimeCubicGaps", "title": "Theta Fixed Prime Cubic Gaps", "original": "0442: кубические вклады конечного набора простых имеют огромные промежутки", "status": "internal", "owner": "project", "domain": "arithmetic", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#ThetaFixedPrimeCubicGaps", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "ThetaScalarStopOpen", "title": "Theta Scalar Stop Open", "original": "Открыто: исключить остановку переноса для настоящих коэффициентов", "status": "open", "owner": "project", "domain": "arithmetic", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#ThetaScalarStopOpen", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "ThetaOutsideFiniteSOpen", "title": "Theta Outside Finite SOpen", "original": "Открыто: вклад остальных простых и исключительных длин", "status": "open", "owner": "project", "domain": "arithmetic", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#ThetaOutsideFiniteSOpen", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "ThetaQMomentRecurrence", "title": "Theta QMoment Recurrence", "original": "0443: точная рекурсия моментов и конечное тождество", "status": "internal", "owner": "project", "domain": "arithmetic", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#ThetaQMomentRecurrence", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "ThetaQAnalyticBarrier", "title": "Theta QAnalytic Barrier", "original": "0443: рекурсия и все целые окна допускают аналитический общий нуль", "status": "internal", "owner": "project", "domain": "arithmetic", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#ThetaQAnalyticBarrier", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "ThetaPreparedRoots", "title": "Theta Prepared Roots", "original": "0444: точная подготовка и явная зависимость от простого p", "status": "internal", "owner": "project", "domain": "arithmetic", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#ThetaPreparedRoots", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "ThetaGrowingPrimeDepth", "title": "Theta Growing Prime Depth", "original": "0444: полная глубина растущего набора малых простых вне редких длин", "status": "internal", "owner": "project", "domain": "arithmetic", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#ThetaGrowingPrimeDepth", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "ThetaGrowingTailLocation", "title": "Theta Growing Tail Location", "original": "0444: условная локализация кубического вклада за растущим порогом", "status": "internal", "owner": "project", "domain": "arithmetic", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#ThetaGrowingTailLocation", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "ThetaThreeCosetAnalytic", "title": "Theta Three Coset Analytic", "original": "0445: три фазы и полная аналитическая глубина при B", "status": "internal", "owner": "project", "domain": "arithmetic", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#ThetaThreeCosetAnalytic", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "ThetaThreeCosetCutoff", "title": "Theta Three Coset Cutoff", "original": "0445: растущий порог для простых при A или B", "status": "internal", "owner": "project", "domain": "arithmetic", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#ThetaThreeCosetCutoff", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "ThetaThreeCosetExact", "title": "Theta Three Coset Exact", "original": "0445: при B глубина0 для H mod d равного0 или d−1", "status": "internal", "owner": "project", "domain": "arithmetic", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#ThetaThreeCosetExact", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "ThetaOverlapPhaseBarrier", "title": "Theta Overlap Phase Barrier", "original": "0445: при совпадении групп отдельные фазы не непрерывны", "status": "internal", "owner": "project", "domain": "arithmetic", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#ThetaOverlapPhaseBarrier", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "ThetaOverlapDepthOpen", "title": "Theta Overlap Depth Open", "original": "Открыто: отмена весов, равномерная глубина при e>=2w и другие совпадения", "status": "open", "owner": "project", "domain": "arithmetic", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#ThetaOverlapDepthOpen", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "ThetaMergedUnitCondition", "title": "Theta Merged Unit Condition", "original": "0446: точное условие единичности слитых весов при совпадении", "status": "internal", "owner": "project", "domain": "arithmetic", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#ThetaMergedUnitCondition", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "ThetaJointOverlapDepth", "title": "Theta Joint Overlap Depth", "original": "0446: при C совместная деформация и полный остаток chi; xi=Delta+chi", "status": "internal", "owner": "project", "domain": "arithmetic", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#ThetaJointOverlapDepth", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "ThetaJointOverlapCutoff", "title": "Theta Joint Overlap Cutoff", "original": "0446: при A/B/C малый вклад o(H³) вне редких длин", "status": "internal", "owner": "project", "domain": "arithmetic", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#ThetaJointOverlapCutoff", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "ThetaJointOverlapExact", "title": "Theta Joint Overlap Exact", "original": "0446: при C chi=0 на двух классах H mod(2l)", "status": "internal", "owner": "project", "domain": "arithmetic", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#ThetaJointOverlapExact", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "ThetaTwoScaleOverlap", "title": "Theta Two Scale Overlap", "original": "0447: при MW и e<2w полный остаток chi; прежняя нормировка B'", "status": "internal", "owner": "project", "domain": "arithmetic", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#ThetaTwoScaleOverlap", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "ThetaOverlapCertificateSize", "title": "Theta Overlap Certificate Size", "original": "0447: новый делитель и ранги оставляют кубический разрыв", "status": "internal", "owner": "project", "domain": "arithmetic", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#ThetaOverlapCertificateSize", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "ThetaOverlapFixedHConvergence", "title": "Theta Overlap Fixed HConvergence", "original": "0447: при MW весь ряд сходится для каждого H, даже при e>=2w", "status": "internal", "owner": "project", "domain": "arithmetic", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#ThetaOverlapFixedHConvergence", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "ThetaWideScalarKernelOpen", "title": "Theta Wide Scalar Kernel Open", "original": "Открыто: широкое ядро Паде — малая высота и ненулевое значение", "status": "open", "owner": "project", "domain": "arithmetic", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#ThetaWideScalarKernelOpen", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "ThetaWideKernelArithmetic", "title": "Theta Wide Kernel Arithmetic", "original": "0448: целое широкое ядро, точный НОД на2/3 и коволюм", "status": "internal", "owner": "project", "domain": "arithmetic", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#ThetaWideKernelArithmetic", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "ThetaWideKernelBoundBarrier", "title": "Theta Wide Kernel Bound Barrier", "original": "0448: имеющаяся оценка высоты не даёт положительной маржи", "status": "internal", "owner": "project", "domain": "arithmetic", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#ThetaWideKernelBoundBarrier", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "ThetaWideKernelEvaluation", "title": "Theta Wide Kernel Evaluation", "original": "0448: точное ядро подстановки; образ пары имеет размерность2", "status": "internal", "owner": "project", "domain": "arithmetic", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#ThetaWideKernelEvaluation", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "ThetaRectangularGcdOpen", "title": "Theta Rectangular Gcd Open", "original": "Открыто: достаточно большой НОД других простых в широкой матрице", "status": "open", "owner": "project", "domain": "arithmetic", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#ThetaRectangularGcdOpen", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "ThetaPairImageHeightOpen", "title": "Theta Pair Image Height Open", "original": "Открыто: две независимые малые целые пары после подстановки", "status": "open", "owner": "project", "domain": "arithmetic", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#ThetaPairImageHeightOpen", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "ThetaPairImageLocal", "title": "Theta Pair Image Local", "original": "0449: точный индекс образа пары и локальный образ на2", "status": "internal", "owner": "project", "domain": "arithmetic", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#ThetaPairImageLocal", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "ThetaPairThreeContent", "title": "Theta Pair Three Content", "original": "0449: точный образ на3 и обязательное сокращение пары", "status": "internal", "owner": "project", "domain": "arithmetic", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#ThetaPairThreeContent", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "ThetaPairMinimaCriterion", "title": "Theta Pair Minima Criterion", "original": "0449: условный критерий двух малых пар; локальных данных мало", "status": "internal", "owner": "project", "domain": "arithmetic", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#ThetaPairMinimaCriterion", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "ThetaPairReducedBound", "title": "Theta Pair Reduced Bound", "original": "0449: сокращённая оценка высоты всё ещё имеет отрицательную маржу", "status": "internal", "owner": "project", "domain": "arithmetic", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#ThetaPairReducedBound", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "ThetaPairOddShapeOpen", "title": "Theta Pair Odd Shape Open", "original": "Открыто: достаточно малая вытянутость выбранных решёток", "status": "open", "owner": "project", "domain": "arithmetic", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#ThetaPairOddShapeOpen", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "ThetaAdjacentPairContent", "title": "Theta Adjacent Pair Content", "original": "0450: точный индекс через соседние НОД; учтены простые D_b", "status": "internal", "owner": "project", "domain": "arithmetic", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#ThetaAdjacentPairContent", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "ThetaPairAggregateIndex", "title": "Theta Pair Aggregate Index", "original": "0450: телескопирование даёт верх индекса на выбранных длинах", "status": "internal", "owner": "project", "domain": "arithmetic", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#ThetaPairAggregateIndex", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "ThetaPairOneSmallPair", "title": "Theta Pair One Small Pair", "original": "0450: одна малая ненулевая пара; её остаток может быть нулём", "status": "internal", "owner": "project", "domain": "arithmetic", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#ThetaPairOneSmallPair", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "ThetaRationalLineOpen", "title": "Theta Rational Line Open", "original": "Открыто: исключить рациональное направление малых пар", "status": "open", "owner": "project", "domain": "arithmetic", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#ThetaRationalLineOpen", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "ThetaRationalLineIndex", "title": "Theta Rational Line Index", "original": "0451: точный индекс рациональной прямой", "status": "internal", "owner": "project", "domain": "arithmetic", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#ThetaRationalLineIndex", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "ThetaRationalTailKernel", "title": "Theta Rational Tail Kernel", "original": "0451: хвостовая матрица и точный НОД; учтены d и D_b", "status": "internal", "owner": "project", "domain": "arithmetic", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#ThetaRationalTailKernel", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "ThetaRationalRealGap", "title": "Theta Rational Real Gap", "original": "0451: рациональный F2 не равен вещественной сумме", "status": "internal", "owner": "project", "domain": "arithmetic", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#ThetaRationalRealGap", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "ThetaInteriorSelection", "title": "Theta Interior Selection", "original": "0451: малая пара при пропорционально растущей ширине", "status": "internal", "owner": "project", "domain": "arithmetic", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#ThetaInteriorSelection", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "ThetaTailContentOpen", "title": "Theta Tail Content Open", "original": "Открыто: оценить отношение соседнего НОД к хвостовому", "status": "open", "owner": "project", "domain": "arithmetic", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#ThetaTailContentOpen", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "ThetaTailLocalOrders", "title": "Theta Tail Local Orders", "original": "0452: условные точные порядки хвостовых миноров", "status": "internal", "owner": "project", "domain": "arithmetic", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#ThetaTailLocalOrders", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "ThetaTailNumeratorBound", "title": "Theta Tail Numerator Bound", "original": "0452: верхняя оценка очищенного хвостового минора", "status": "internal", "owner": "project", "domain": "arithmetic", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#ThetaTailNumeratorBound", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "ThetaRestrictedBoundaryLine", "title": "Theta Restricted Boundary Line", "original": "0452: нижняя оценка прямой при рациональном F2 в Z3; M=H+1", "status": "internal", "owner": "project", "domain": "arithmetic", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#ThetaRestrictedBoundaryLine", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "ThetaGeneralRationalLine", "title": "Theta General Rational Line", "original": "0453: нижний размер прямой для любого рационального F2; M=H+1", "status": "internal", "owner": "project", "domain": "arithmetic", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#ThetaGeneralRationalLine", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "ThetaShiftedTailContent", "title": "Theta Shifted Tail Content", "original": "0453: точный хвостовой НОД при всех сдвигах", "status": "internal", "owner": "project", "domain": "arithmetic", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#ThetaShiftedTailContent", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "ThetaShiftedIndexBarrier", "title": "Theta Shifted Index Barrier", "original": "0453: нижний индекс и граница двух оценок при пропорциональных сдвигах", "status": "internal", "owner": "project", "domain": "arithmetic", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#ThetaShiftedIndexBarrier", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "ThetaPositivePairCriterion", "title": "Theta Positive Pair Criterion", "original": "0454: достаточный знаковый критерий для положительного источника389", "status": "internal", "owner": "project", "domain": "arithmetic", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#ThetaPositivePairCriterion", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "ThetaConsecutiveAxes", "title": "Theta Consecutive Axes", "original": "0454: две положительные оси; точные масштабы и предел их высоты", "status": "internal", "owner": "project", "domain": "arithmetic", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#ThetaConsecutiveAxes", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "ThetaAxisSaturation", "title": "Theta Axis Saturation", "original": "0454: точный индекс двух осей, проекция и циклическое насыщение", "status": "internal", "owner": "project", "domain": "arithmetic", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#ThetaAxisSaturation", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "ThetaPositiveConeHeightOpen", "title": "Theta Positive Cone Height Open", "original": "Открыто: малая положительная комбинация в полной решётке", "status": "open", "owner": "project", "domain": "arithmetic", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#ThetaPositiveConeHeightOpen", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "ThetaActualConePhase", "title": "Theta Actual Cone Phase", "original": "0455: действительный остаток и точные формулы положительного конуса", "status": "internal", "owner": "project", "domain": "arithmetic", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#ThetaActualConePhase", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "ThetaConeInitialWindow", "title": "Theta Cone Initial Window", "original": "0455: точные периоды; требуется короткое начальное окно", "status": "internal", "owner": "project", "domain": "arithmetic", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#ThetaConeInitialWindow", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "ThetaConeAdjacentContentGate", "title": "Theta Cone Adjacent Content Gate", "original": "0455: необходимая граница отношения соседних НОД", "status": "internal", "owner": "project", "domain": "arithmetic", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#ThetaConeAdjacentContentGate", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "ThetaColumnOrder", "title": "Theta Column Order", "original": "0456: точный порядок добавленного столбца; общий сертификат ещё кубический", "status": "internal", "owner": "project", "domain": "arithmetic", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#ThetaColumnOrder", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "ThetaSmithIncrement", "title": "Theta Smith Increment", "original": "0456: все меньшие миноры и известное квадратичное приращение Смита", "status": "internal", "owner": "project", "domain": "arithmetic", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#ThetaSmithIncrement", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "ThetaPositiveMomentNormalization", "title": "Theta Positive Moment Normalization", "original": "0456: точная нормировка в две положительные конечные суммы", "status": "internal", "owner": "project", "domain": "arithmetic", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#ThetaPositiveMomentNormalization", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "ThetaActualBaseOrder", "title": "Theta Actual Base Order", "original": "0456: actual R1=1; первый инвариант при всех размерах", "status": "internal", "owner": "project", "domain": "arithmetic", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#ThetaActualBaseOrder", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "ThetaColumnOrderBoundOpen", "title": "Theta Column Order Bound Open", "original": "Открыто: оценить порядок столбца при растущей длине", "status": "open", "owner": "project", "domain": "arithmetic", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#ThetaColumnOrderBoundOpen", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "ThetaBezoutColumnReduction", "title": "Theta Bezout Column Reduction", "original": "0457: точная редукция Безу; остаточная последовательность имеет шесть узлов", "status": "internal", "owner": "project", "domain": "arithmetic", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#ThetaBezoutColumnReduction", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "ThetaUnitPivotLimit", "title": "Theta Unit Pivot Limit", "original": "0457: H10, k28+10w — не более девяти единичных опор", "status": "internal", "owner": "project", "domain": "arithmetic", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#ThetaUnitPivotLimit", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "ThetaPrimeElevenColumnOrder", "title": "Theta Prime Eleven Column Order", "original": "0457: H10, k28+10w, ell0 — множителя11 в порядке нет", "status": "internal", "owner": "project", "domain": "arithmetic", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#ThetaPrimeElevenColumnOrder", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "ThetaShiftedPrimeElevenOrder", "title": "Theta Shifted Prime Eleven Order", "original": "0457: H10, k28+10w, ell5 — критерий делимости порядка на11", "status": "internal", "owner": "project", "domain": "arithmetic", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#ThetaShiftedPrimeElevenOrder", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "ThetaCompleteSpectrumFirstJet", "title": "Theta Complete Spectrum First Jet", "original": "0458: полный спектр, H = p−1; тождество трёх первых струй", "status": "internal", "owner": "project", "domain": "arithmetic", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#ThetaCompleteSpectrumFirstJet", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "ThetaTransversePairCriterion", "title": "Theta Transverse Pair Criterion", "original": "0458: при uΔ ≠ 0 простой p не делит порядок столбца", "status": "internal", "owner": "project", "domain": "arithmetic", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#ThetaTransversePairCriterion", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "ThetaParameterResidueRestriction", "title": "Theta Parameter Residue Restriction", "original": "0458: при Δ ≠ 0 и v ≠ 0 остаётся один возможный класс", "status": "internal", "owner": "project", "domain": "arithmetic", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#ThetaParameterResidueRestriction", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "ThetaZeroMomentJetLimit", "title": "Theta Zero Moment Jet Limit", "original": "0458: нулевой момент даёт тождество с дополнительной струёй", "status": "internal", "owner": "project", "domain": "arithmetic", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#ThetaZeroMomentJetLimit", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "ThetaTransverseNonvanishingOpen", "title": "Theta Transverse Nonvanishing Open", "original": "Открыто: значение A при Δ_gen = 0; Γ = 0 и прочие случаи", "status": "open", "owner": "project", "domain": "arithmetic", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#ThetaTransverseNonvanishingOpen", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "ThetaExceptionalWeightLift", "title": "Theta Exceptional Weight Lift", "original": "0459: u = 0 — точный критерий общего нуля первых трёх струй", "status": "internal", "owner": "project", "domain": "arithmetic", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#ThetaExceptionalWeightLift", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "ThetaExactRankDeficientBase", "title": "Theta Exact Rank Deficient Base", "original": "0459: координаты c и b2/b3; точная базовая потеря одного ранга", "status": "internal", "owner": "project", "domain": "arithmetic", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#ThetaExactRankDeficientBase", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "ThetaTransverseFullDepth", "title": "Theta Transverse Full Depth", "original": "0459: полный спектр, Δ ≠ 0 — равные глубины на всех уровнях", "status": "internal", "owner": "project", "domain": "arithmetic", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#ThetaTransverseFullDepth", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "ThetaTwoCosetFullDepth", "title": "Theta Two Coset Full Depth", "original": "0459: H = 2d, Δ_gen ≠ 0 — p не входит в порядок столбца", "status": "internal", "owner": "project", "domain": "arithmetic", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#ThetaTwoCosetFullDepth", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "ThetaSingularScalarIdeals", "title": "Theta Singular Scalar Ideals", "original": "0460: при Γ ≠ 0 точные идеалы (z,xA) и (z,x)", "status": "internal", "owner": "project", "domain": "arithmetic", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#ThetaSingularScalarIdeals", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "ThetaActualTorsionSeparation", "title": "Theta Actual Torsion Separation", "original": "0460: η = 3/2 — ненулевое D; глубина τ ограничена нормой", "status": "internal", "owner": "project", "domain": "arithmetic", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#ThetaActualTorsionSeparation", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "ThetaActualDeepExclusion", "title": "Theta Actual Deep Exclusion", "original": "0460: H = 2d; при v_p(c^d−1) > τ простой не входит в R", "status": "internal", "owner": "project", "domain": "arithmetic", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#ThetaActualDeepExclusion", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "ThetaCancellationPrimeCertificate", "title": "Theta Cancellation Prime Certificate", "original": "0460: ненулевой B_d содержит простые этого класса; глубины R не оценены", "status": "internal", "owner": "project", "domain": "arithmetic", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#ThetaCancellationPrimeCertificate", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "ThetaBalancedDepthOpen", "title": "Theta Balanced Depth Open", "original": "Открыто: область v_p x ≤ τ и значения двух старых генераторов", "status": "open", "owner": "project", "domain": "arithmetic", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#ThetaBalancedDepthOpen", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "ThetaActualCurveDerivative", "title": "Theta Actual Curve Derivative", "original": "0461: явная β по actual-кривой, с движением весов и N = 1", "status": "internal", "owner": "project", "domain": "arithmetic", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#ThetaActualCurveDerivative", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "ThetaBalancedAlgebraicZero", "title": "Theta Balanced Algebraic Zero", "original": "0461: β ≠ 0 — один простой алгебраический ноль ξ глубины τ", "status": "internal", "owner": "project", "domain": "arithmetic", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#ThetaBalancedAlgebraicZero", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "ThetaAlgebraicCollisionValue", "title": "Theta Algebraic Collision Value", "original": "0461: Γ, β ≠ 0 — точная формула вклада через A(ξ)", "status": "internal", "owner": "project", "domain": "arithmetic", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#ThetaAlgebraicCollisionValue", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "ThetaLocalPolynomialGcdDichotomy", "title": "Theta Local Polynomial Gcd Dichotomy", "original": "0461: G(c mod p) ≠ 0 — граница через результант; иначе общий корень", "status": "internal", "owner": "project", "domain": "arithmetic", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#ThetaLocalPolynomialGcdDichotomy", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "ThetaPrimeElevenAlgebraicOrder", "title": "Theta Prime Eleven Algebraic Order", "original": "0461: формула p = 11, H = 10, ℓ = 5; значение M определено в0463", "status": "internal", "owner": "project", "domain": "arithmetic", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#ThetaPrimeElevenAlgebraicOrder", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "ThetaActualGcdHeightOpen", "title": "Theta Actual Gcd Height Open", "original": "Открыто: actual-НОД G*, выбранный общий корень и оценка H²", "status": "open", "owner": "project", "domain": "arithmetic", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#ThetaActualGcdHeightOpen", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "ThetaActualShiftNormalization", "title": "Theta Actual Shift Normalization", "original": "0462: точные сдвиг и масштаб; единичные множители сохранены", "status": "internal", "owner": "project", "domain": "arithmetic", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#ThetaActualShiftNormalization", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "ThetaPrimitiveSchurPair", "title": "Theta Primitive Schur Pair", "original": "0462: явные целые U,V,W и примитивные P_H,Q_H", "status": "internal", "owner": "project", "domain": "arithmetic", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#ThetaPrimitiveSchurPair", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "ThetaActualSchurNonzero", "title": "Theta Actual Schur Nonzero", "original": "0462: V не тождественно нулевой; общий корень ещё возможен", "status": "internal", "owner": "project", "domain": "arithmetic", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#ThetaActualSchurNonzero", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "ThetaReducedSylvesterHeight", "title": "Theta Reduced Sylvester Height", "original": "0462: log|E*| ≤ O(H⁵) при фиксированном ℓ, после удаления НОД", "status": "internal", "owner": "project", "domain": "arithmetic", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#ThetaReducedSylvesterHeight", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "ThetaSecondSchurCorrection", "title": "Theta Second Schur Correction", "original": "0463: второй коэффициент с поправкой от движения Q", "status": "internal", "owner": "project", "domain": "arithmetic", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#ThetaSecondSchurCorrection", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "ThetaPrimeElevenExactDepth", "title": "Theta Prime Eleven Exact Depth", "original": "0463: p = 11, H = 10, ℓ = 5 — M = 1; старый НОД глубины1 или2", "status": "internal", "owner": "project", "domain": "arithmetic", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#ThetaPrimeElevenExactDepth", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "ThetaPrimeElevenSelectedGcdExcluded", "title": "Theta Prime Eleven Selected Gcd Excluded", "original": "0463: выбранный корень G* при C ≡ 3 modulo11 исключён", "status": "internal", "owner": "project", "domain": "arithmetic", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#ThetaPrimeElevenSelectedGcdExcluded", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "ThetaSpectralSecondCoefficient", "title": "Theta Spectral Second Coefficient", "original": "0464: полный спектр, τ = 1, Δ = 0 — M = 1 ровно при χ ≠ 0", "status": "internal", "owner": "project", "domain": "arithmetic", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#ThetaSpectralSecondCoefficient", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "ThetaExplicitMissingNode", "title": "Theta Explicit Missing Node", "original": "0464: явный отсутствующий узел θ = −ηr³c^(−3ℓ)", "status": "internal", "owner": "project", "domain": "arithmetic", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#ThetaExplicitMissingNode", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "ThetaFirstJetInsufficiency", "title": "Theta First Jet Insufficiency", "original": "0464: первые производные не вынуждают χ ≠ 0 — формальный пример", "status": "internal", "owner": "project", "domain": "arithmetic", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#ThetaFirstJetInsufficiency", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "ThetaUnshiftedWeightConstraint", "title": "Theta Unshifted Weight Constraint", "original": "0464: ℓ = 0 — точное условие на производную полинома весов", "status": "internal", "owner": "project", "domain": "arithmetic", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#ThetaUnshiftedWeightConstraint", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "ThetaSecondCoefficientNonzeroOpen", "title": "Theta Second Coefficient Nonzero Open", "original": "Открыто: ненулевость χ для actual-весов; другие ранги и размеры", "status": "open", "owner": "project", "domain": "arithmetic", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#ThetaSecondCoefficientNonzeroOpen", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "CertificateLogBudgetBarrier", "title": "Certificate Log Budget Barrier", "original": "0465: сколь угодно большие n без встречи при j≤a ln n+O(1), k≤j+b ln n+O(1), a ln2+b ln3<1", "status": "internal", "owner": "project", "domain": "dynamics", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#CertificateLogBudgetBarrier", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "CertificateCompleteIffBounded", "title": "Certificate Complete Iff Bounded", "original": "0465: полнота сертификатов N163 ⇔ ограниченность всех орбит — с входом G100", "status": "internal", "owner": "project", "domain": "dynamics", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#CertificateCompleteIffBounded", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "CertificateBoundednessOpen", "title": "Certificate Boundedness Open", "original": "Доказать ограниченность каждой положительной орбиты — открыто", "status": "open", "owner": "project", "domain": "dynamics", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#CertificateBoundednessOpen", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "RawPrefixNormBarrier", "title": "Raw Prefix Norm Barrier", "original": "0466: точный префиксный продукт ≥1/3 при гипотезе неограниченной орбиты", "status": "internal", "owner": "project", "domain": "coding", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#RawPrefixNormBarrier", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "FixedPairFormsBarrier", "title": "Fixed Pair Forms Barrier", "original": "0466: фиксированные формы пары при ∞,2,3 дают ≥cH^(r−2), без степенного выигрыша", "status": "internal", "owner": "project", "domain": "dynamics", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#FixedPairFormsBarrier", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "UniversalAuxiliaryOpen", "title": "Universal Auxiliary Open", "original": "Новый арифметический аргумент с универсальным охватом — открыт", "status": "open", "owner": "project", "domain": "dynamics", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#UniversalAuxiliaryOpen", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "ComplementaryTailExact", "title": "Complementary Tail Exact", "original": "0467: U↑alpha, E>1; сдвинутая сокращённая пара даёт точный продукт D/B", "status": "internal", "owner": "project", "domain": "dynamics", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#ComplementaryTailExact", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "ComplementaryConditional", "title": "Complementary Conditional", "original": "0467: условия C8 на бесконечной орбите ⇒ alpha трансцендентен; орбита не исключена", "status": "internal", "owner": "project", "domain": "dynamics", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#ComplementaryConditional", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "SmallSmoothPrefixControl", "title": "Small Smooth Prefix Control", "original": "0467: сколь угодно длинные положительные префиксы 110 имеют B≤9; старты меняются", "status": "internal", "owner": "project", "domain": "coding", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#SmallSmoothPrefixControl", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "AffineLimitNatureOpen", "title": "Affine Limit Nature Open", "original": "Арифметическая природа предела alpha для произвольной плохой орбиты — открыто", "status": "open", "owner": "project", "domain": "dynamics", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#AffineLimitNatureOpen", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "SmoothMinimumCoverageOpen", "title": "Smooth Minimum Coverage Open", "original": "Большая B и нужный рост на будущих минимумах: условия C8 не доказаны", "status": "open", "owner": "project", "domain": "dynamics", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#SmoothMinimumCoverageOpen", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "EvenEventFixedGroupSparse", "title": "Even Event Fixed Group Sparse", "original": "0468: на неповторяющейся орбите n+1 редко возвращается в фиксированную группу; счёт по чётным входам", "status": "internal", "owner": "project", "domain": "dynamics", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#EvenEventFixedGroupSparse", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "EvenEventPrimeSupportGrowth", "title": "Even Event Prime Support Growth", "original": "0468: N чётных событий требуют не менее ln N/(2·12^6)−2 разных простых в кофакторах", "status": "internal", "owner": "project", "domain": "dynamics", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#EvenEventPrimeSupportGrowth", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "FiniteSupportRecurrenceOpen", "title": "Finite Support Recurrence Open", "original": "Частые возвраты к одной конечной поддержке равносильны ограниченности; универсальность открыта", "status": "open", "owner": "project", "domain": "dynamics", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#FiniteSupportRecurrenceOpen", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "FirstContractionRunBudget", "title": "First Contraction Run Budget", "original": "0469: при первом сокращении E1, 3∤b, положительная плотность Q_C(b,1) равносильна b→1; точечный переход открыт", "status": "open", "owner": "project", "domain": "dynamics", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#PairedTargetDensityOpen", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "IntegerFirstHitCount", "title": "Integer First Hit Count", "original": "ID/I: к фиксированной нечётной цели за ≤(3/8) log₂ X нечётных шагов приходит o(X) стартов", "status": "internal", "owner": "project", "domain": "dynamics", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#IntegerFirstHitCount", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "AffinePairRecurrence", "title": "Affine Pair Recurrence", "original": "AR: точная парная рекурсия; при R≠0 фиксированные коэффициенты и конечные состояния дают ≤2 пары показателей", "status": "internal", "owner": "project", "domain": "dynamics", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#AffinePairRecurrence", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "FixedPairLiftBudget", "title": "Fixed Pair Lift Budget", "original": "FL: фиксированное периодическое расписание структурных подъёмов соседей даёт конечное число новых пар из одного старта", "status": "internal", "owner": "project", "domain": "dynamics", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#FixedPairLiftBudget", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "SmallOddPairLiftCount", "title": "Small Odd Pair Lift Count", "original": "SL2: все структурные упорядоченные подъёмы соседей с ≤2 нечётными шагами; любые композиции дают O(log X) источников из одного старта", "status": "internal", "owner": "project", "domain": "dynamics", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#SmallOddPairLiftCount", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "ThreeOddPairLiftCount", "title": "Three Odd Pair Lift Count", "original": "SL3: все структурные упорядоченные подъёмы с ≤3 нечётными шагами; любые композиции из одного старта дают O(√X) источников", "status": "internal", "owner": "project", "domain": "dynamics", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#ThreeOddPairLiftCount", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "StructuralBlockLengthBound", "title": "Structural Block Length Bound", "original": "GB: при фиксированном P длина синхронного структурного блока K≤2P(1+floor(P log₂3)); оба порядка соседей", "status": "internal", "owner": "project", "domain": "dynamics", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#StructuralBlockLengthBound", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "StructuralReturnAverage", "title": "Structural Return Average", "original": "IR: все минимальные структурные возвраты; Kraft≤15/16 и интеграл суммы обратных весов≤16 по Z₃", "status": "internal", "owner": "project", "domain": "dynamics", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#StructuralReturnAverage", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "StructuralLiftUniformityBarrier", "title": "Structural Lift Uniformity Barrier", "original": "IR: упорядоченный обратный блок K22/P14 сжимает; единая граница весов по всем положительным стартам невозможна", "status": "internal", "owner": "project", "domain": "dynamics", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#StructuralLiftUniformityBarrier", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "PositiveIntegerWeightBound", "title": "Positive Integer Weight Bound", "original": "PR: каждое положительное n, все структурные расписания, q>1; Wq(n)≤(3n+1)n^qζ(q), включая циклы", "status": "internal", "owner": "project", "domain": "dynamics", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#PositiveIntegerWeightBound", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "InverseSlopeEscape", "title": "Inverse Slope Escape", "original": "PR: совокупный наклон любой глубокой положительной обратной ветви уходит в бесконечность; скорость не получена", "status": "internal", "owner": "project", "domain": "dynamics", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#InverseSlopeEscape", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "CriticalIntegerResolventOpen", "title": "Critical Integer Resolvent Open", "original": "CX: q=1 для положительного n≡1 mod3 открыт; при n≢1 mod3 структурный Wq(n)=1", "status": "open", "owner": "project", "domain": "dynamics", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#CriticalIntegerResolventOpen", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "CriticalFiniteCentreBarrier", "title": "Critical Finite Centre Barrier", "original": "CX7: общая степень, медленная шкала, положительные периодические коэффициенты и конечные valuation-центры не дают LqV≤V", "status": "internal", "owner": "project", "domain": "dynamics", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#CriticalFiniteCentreBarrier", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "CriticalResiduePowerBarrier", "title": "Critical Residue Power Barrier", "original": "CX8: разные степени mod3^h требуют max s=q; запрет для mod3,9,27 при общей медленной шкале", "status": "internal", "owner": "project", "domain": "dynamics", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#CriticalResiduePowerBarrier", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "CriticalLogDensityBridge", "title": "Critical Log Density Bridge", "original": "CX2: если limsup W1(n;X)/log X>0, то верхняя плотность структурных источников положительна; предпосылка не доказана", "status": "internal", "owner": "project", "domain": "dynamics", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#CriticalLogDensityBridge", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "CriticalPairLowerGrowthOpen", "title": "Critical Pair Lower Growth Open", "original": "CX: доказать нижний совместный рост и покрытие настоящих пар Q(a,c), включая разные счётчики и времена", "status": "open", "owner": "project", "domain": "dynamics", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#CriticalPairLowerGrowthOpen", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "CriticalResidueOverlapOpen", "title": "Critical Residue Overlap Open", "original": "RG9: полный D=∞ ДОКАЗАН; finite family массы>1 вынуждает exact overlap на K_F⊂K; explicit addresses не найдены", "status": "internal", "owner": "project", "domain": "dynamics", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#CriticalResidueOverlapOpen", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "ResidueLeadingProfile", "title": "Residue Leading Profile", "original": "LP2: любые конечные степени mod3^h дают необходимый профиль C≥0 с L0C≤C на каждом x∈Z₃; обратный переход не доказан", "status": "internal", "owner": "project", "domain": "dynamics", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#ResidueLeadingProfile", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "TernaryMaximumOverlap", "title": "Ternary Maximum Overlap", "original": "LP5: C(1)=C(−4310/139)=max C; L/R центры различаются на 3^10·unit, поэтому все h≤9 исключены", "status": "internal", "owner": "project", "domain": "dynamics", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#TernaryMaximumOverlap", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "UnweightedBlockMassOpen", "title": "Unweighted Block Mass Open", "original": "RG8: κ0≥10084/9477>1 доказано; открыты только точное значение и конечность полной суммы", "status": "open", "owner": "project", "domain": "dynamics", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#UnweightedBlockMassOpen", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "ContinuousClopenCriterion", "title": "Continuous Clopen Criterion", "original": "ST1–ST4,ST7: непрерывный профиль ⇔ индикатор K_h с разделёнными образами ⇔ D конечен; ведущая асимптотика даёт лишь необходимый переход", "status": "internal", "owner": "project", "domain": "dynamics", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#ContinuousClopenCriterion", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "DenseOrbitNoncollision", "title": "Dense Orbit Noncollision", "original": "ST5: орбиты1 и −4310/139 по конечным композициям плотны в одном K, но точно не пересекаются; знаменатель139 не даёт 3-адического разделения", "status": "internal", "owner": "project", "domain": "dynamics", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#DenseOrbitNoncollision", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "InfiniteBlockProfileHole", "title": "Infinite Block Profile Hole", "original": "IB2–IB5: genuine блоки всех t дают 1/10∈K и C(−1/5)=0; у непрерывного ненулевого профиля C(1/10)=max C; κ0≥31/54", "status": "internal", "owner": "project", "domain": "dynamics", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#InfiniteBlockProfileHole", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "IntegralOrbitFixedPoints", "title": "Integral Orbit Fixed Points", "original": "IB6–IB7: O1∩Z2={1}; фиксированные точки разных блоков различны; чистые повторения дают лишь плато, смешанные источники не исключены", "status": "internal", "owner": "project", "domain": "dynamics", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#IntegralOrbitFixedPoints", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "MinusFifthAttractorOpen", "title": "Minus Fifth Attractor Open", "original": "ZH: встречает ли полный K замыкание дерева нулей из −1/5? При u вне K для семейства остаются r≤q−1, но q и пересечения неизвестны", "status": "open", "owner": "project", "domain": "dynamics", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#MinusFifthAttractorOpen", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "LadderProfileCounterexample", "title": "Ladder Profile Counterexample", "original": "ZH4–ZH5: все IB-блоки имеют профиль 1_(1+9Z₃), собственные D=1 и массу1/2; полный оператор его нарушает уже ветвью J", "status": "internal", "owner": "project", "domain": "dynamics", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#LadderProfileCounterexample", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "PeriodicZeroTreeBarrier", "title": "Periodic Zero Tree Barrier", "original": "ZH1–ZH3: дерево нулей строго предпериодично и не встречает периодические fixed points, плотные в K; fixed binary pump не даёт предел −1/5", "status": "internal", "owner": "project", "domain": "coding", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#PeriodicZeroTreeBarrier", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "SecondInfiniteBlockFamily", "title": "Second Infinite Block Family", "original": "AG1–AG3: OO(EO)^tEEE/EEO(OE)^tEO genuine для всех t; предел1/4 имеет source1/3 внеZ₃; вместе с IB,N,B масса≥433/729", "status": "internal", "owner": "project", "domain": "dynamics", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#SecondInfiniteBlockFamily", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "AugmentedAttractorExclusion", "title": "Augmented Attractor Exclusion", "original": "AG5–AG6: собственный K_A для IB+J+N имеет точный gap9 до−1/5; остаткиS mod27 не сохраняются новыми ветвями полного алфавита", "status": "internal", "owner": "project", "domain": "dynamics", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#AugmentedAttractorExclusion", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "DeeperTernaryOverlap", "title": "Deeper Ternary Overlap", "original": "AG4: w=273387137/2^31∈полном K, v3(w+1/5)=12; L/M дают D≥12 и no-profile h≤12; повторениеW остаётся на12", "status": "internal", "owner": "project", "domain": "dynamics", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#DeeperTernaryOverlap", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "LoopBlockGrammar", "title": "Loop Block Grammar", "original": "LG1–LG3: α/β internal loops дают 2^r genuine блоков P=r+2; масса1/3; с L,N,B нижняя граница514/729", "status": "internal", "owner": "project", "domain": "dynamics", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#LoopBlockGrammar", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "LoopAlphabetCeiling", "title": "Loop Alphabet Ceiling", "original": "LG4–LG5: весь α/β-подалфавит плюс L,N,B имеет точный max v3(z+1/5)=12; девять состояний учитывают infinite tails; полный K не заменён", "status": "internal", "owner": "project", "domain": "dynamics", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#LoopAlphabetCeiling", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "CountableAddressCriterion", "title": "Countable Address Criterion", "original": "LG6: полный K — infinite admissible path либо finite prefix до high-P limit; escape set независим от seed, но не классифицирован", "status": "internal", "owner": "project", "domain": "coding", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#CountableAddressCriterion", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "SupercriticalBlockFamily", "title": "Supercritical Block Family", "original": "RG8: ζ добавляет вес1/9; шесть loops имеют ρ68/81, core mass9/13; с L,N,B κ≥10084/9477>1; finite cutoff15 уже >1", "status": "internal", "owner": "project", "domain": "energy", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#SupercriticalBlockFamily", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "AllIntegrableProfilesExcluded", "title": "All Integrable Profiles Excluded", "original": "RG8–RG10: нет C≥0 с0<∫C<∞ и L0C≤C; все continuous/finite-residue leading profiles исключены при любомh; не integer W1", "status": "internal", "owner": "project", "domain": "dynamics", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#AllIntegrableProfilesExcluded", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "FullStructuralReturnGraph", "title": "Full Structural Return Graph", "original": "RG5–RG6: reachable(d,c) граф точно кодирует все ordered first-return blocks; κ0=E[(4/3)^τ;τ<∞]; правые bits зависимы", "status": "internal", "owner": "project", "domain": "dynamics", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#FullStructuralReturnGraph", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "MinimalBadStructuralResidueBoundary", "title": "Minimal Bad Structural Residue Boundary", "original": "MB/CX: μ mod12=3 — оба соседних structural trees singleton;7 — возможна исходная ориентация;11 — переставленная; не исключение μ", "status": "internal", "owner": "project", "domain": "energy", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#MinimalBadStructuralResidueBoundary", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "MixedPairReturnClock", "title": "Mixed Pair Return Clock", "original": "MB: good-side h уменьшается на K≥2; нет mixed R-cycle; назад h растёт; Wq(μ)≤1+μ/(q−1), q>1; W1 не решён", "status": "internal", "owner": "project", "domain": "dynamics", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#MixedPairReturnClock", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "UniformIntervalOddDepth", "title": "Uniform Interval Odd Depth", "original": "UD: любой интервал длины N; при J≤floor(L/2−sqrt(L ln L)) только O(N/(log N)²) источников; L=ceil(log₂ N)", "status": "internal", "owner": "project", "domain": "dynamics", "author": "Khamit Kadyrbekov & Daniyal Kadirbekov · project record", "summary": "An entry from the project’s research map. Read the original statement with its hypotheses; an internal check is not external peer review or a claim of priority.", "source": "record.html#UniformIntervalOddDepth", "sourceLabel": "Open the recorded statement", "sourceKind": "Project record", "date": "19 Sep 2026" }, { "id": "OddDepthHarmonicMass", "title": "Odd Depth Harmonic Mass", "original": "UD: сумма 1/m при J≤P не больше 4P+5; сумма z^J/m ≤1+4/(1−z); 01 с чётным v₂(n−1)≥4 дефект g переносится на p≤(3n+1)/41 и исключил профили; конечность суммы открыта", "dashed": true, "kind": "recorded" }, { "from": "ResidueLeadingProfile", "to": "CriticalIntegerResolventOpen", "label": "C не является оценкой суммы W1", "dashed": true, "kind": "recorded" }, { "from": "ResidueLeadingProfile", "to": "ContinuousClopenCriterion", "label": "", "dashed": false, "kind": "recorded" }, { "from": "ContinuousClopenCriterion", "to": "DenseOrbitNoncollision", "label": "", "dashed": false, "kind": "recorded" }, { "from": "ContinuousClopenCriterion", "to": "CriticalResidueOverlapOpen", "label": "значение D не установлено", "dashed": true, "kind": "recorded" }, { "from": "DenseOrbitNoncollision", "to": "CriticalResidueOverlapOpen", "label": "точное пересечение исключено между двумя орбитами конечных композиций", "dashed": true, "kind": "recorded" }, { "from": "ContinuousClopenCriterion", "to": "UnweightedBlockMassOpen", "label": "необходимость κ0≤1 не даёт значение суммы", "dashed": true, "kind": "recorded" }, { "from": "ContinuousClopenCriterion", "to": "CriticalIntegerResolventOpen", "label": "нет обратного построения V или оценки W1", "dashed": true, "kind": "recorded" }, { "from": "StructuralBlockLengthBound", "to": "InfiniteBlockProfileHole", "label": "", "dashed": false, "kind": "recorded" }, { "from": "ContinuousClopenCriterion", "to": "InfiniteBlockProfileHole", "label": "", "dashed": false, "kind": "recorded" }, { "from": "DenseOrbitNoncollision", "to": "IntegralOrbitFixedPoints", "label": "", "dashed": false, "kind": "recorded" }, { "from": "InfiniteBlockProfileHole", "to": "IntegralOrbitFixedPoints", "label": "", "dashed": false, "kind": "recorded" }, { "from": "InfiniteBlockProfileHole", "to": "MinusFifthAttractorOpen", "label": "обязательный ноль пока не противоречит максимуму", "dashed": true, "kind": "recorded" }, { "from": "InfiniteBlockProfileHole", "to": "UnweightedBlockMassOpen", "label": "нижняя граница меньше1", "dashed": true, "kind": "recorded" }, { "from": "IntegralOrbitFixedPoints", "to": "CriticalResidueOverlapOpen", "label": "смешанные столкновения и общий D открыты", "dashed": true, "kind": "recorded" }, { "from": "MinusFifthAttractorOpen", "to": "CriticalResidueOverlapOpen", "label": "при доказанной принадлежности профили исключены", "dashed": true, "kind": "recorded" }, { "from": "InfiniteBlockProfileHole", "to": "PairedTargetDensityOpen", "label": "структурные блоки не заменяют нижний счёт full Q", "dashed": true, "kind": "recorded" }, { "from": "InfiniteBlockProfileHole", "to": "LadderProfileCounterexample", "label": "", "dashed": false, "kind": "recorded" }, { "from": "ContinuousClopenCriterion", "to": "LadderProfileCounterexample", "label": "", "dashed": false, "kind": "recorded" }, { "from": "IntegralOrbitFixedPoints", "to": "PeriodicZeroTreeBarrier", "label": "", "dashed": false, "kind": "recorded" }, { "from": "InfiniteBlockProfileHole", "to": "PeriodicZeroTreeBarrier", "label": "", "dashed": false, "kind": "recorded" }, { "from": "LadderProfileCounterexample", "to": "CriticalResidueOverlapOpen", "label": "нужны остальные genuine ветви", "dashed": true, "kind": "recorded" }, { "from": "PeriodicZeroTreeBarrier", "to": "MinusFifthAttractorOpen", "label": "точное непересечение не запрещает встречу замыканий", "dashed": true, "kind": "recorded" }, { "from": "LadderProfileCounterexample", "to": "MinusFifthAttractorOpen", "label": "собственный аттрактор семейства не равен полному K", "dashed": true, "kind": "recorded" }, { "from": "PeriodicZeroTreeBarrier", "to": "PairedTargetDensityOpen", "label": "рациональные циклы не дают нижний счёт целых", "dashed": true, "kind": "recorded" }, { "from": "InfiniteBlockProfileHole", "to": "SecondInfiniteBlockFamily", "label": "", "dashed": false, "kind": "recorded" }, { "from": "LadderProfileCounterexample", "to": "AugmentedAttractorExclusion", "label": "", "dashed": false, "kind": "recorded" }, { "from": "SecondInfiniteBlockFamily", "to": "DeeperTernaryOverlap", "label": "", "dashed": false, "kind": "recorded" }, { "from": "ContinuousClopenCriterion", "to": "DeeperTernaryOverlap", "label": "", "dashed": false, "kind": "recorded" }, { "from": "TernaryMaximumOverlap", "to": "DeeperTernaryOverlap", "label": "", "dashed": false, "kind": "recorded" }, { "from": "SecondInfiniteBlockFamily", "to": "UnweightedBlockMassOpen", "label": "историческая AG-граница меньше1; усилена в RG8", "dashed": true, "kind": "recorded" }, { "from": "AugmentedAttractorExclusion", "to": "MinusFifthAttractorOpen", "label": "исключение относится только к K_A", "dashed": true, "kind": "recorded" }, { "from": "DeeperTernaryOverlap", "to": "CriticalResidueOverlapOpen", "label": "D≥12 не доказывает D бесконечным", "dashed": true, "kind": "recorded" }, { "from": "DeeperTernaryOverlap", "to": "MinusFifthAttractorOpen", "label": "changing words и membership u остаются открыты", "dashed": true, "kind": "recorded" }, { "from": "DeeperTernaryOverlap", "to": "PairedTargetDensityOpen", "label": "не даёт нижнего счёта целых", "dashed": true, "kind": "recorded" }, { "from": "SecondInfiniteBlockFamily", "to": "LoopBlockGrammar", "label": "", "dashed": false, "kind": "recorded" }, { "from": "InfiniteBlockProfileHole", "to": "LoopBlockGrammar", "label": "", "dashed": false, "kind": "recorded" }, { "from": "LoopBlockGrammar", "to": "LoopAlphabetCeiling", "label": "", "dashed": false, "kind": "recorded" }, { "from": "DeeperTernaryOverlap", "to": "LoopAlphabetCeiling", "label": "", "dashed": false, "kind": "recorded" }, { "from": "AugmentedAttractorExclusion", "to": "LoopAlphabetCeiling", "label": "", "dashed": false, "kind": "recorded" }, { "from": "LoopBlockGrammar", "to": "UnweightedBlockMassOpen", "label": "историческая LG-граница меньше1; усилена в RG8", "dashed": true, "kind": "recorded" }, { "from": "LoopAlphabetCeiling", "to": "MinusFifthAttractorOpen", "label": "повышение12 требует блоков вне подалфавита", "dashed": true, "kind": "recorded" }, { "from": "LoopAlphabetCeiling", "to": "CriticalResidueOverlapOpen", "label": "не даёт full D12 или D бесконечным", "dashed": true, "kind": "recorded" }, { "from": "StructuralBlockLengthBound", "to": "CountableAddressCriterion", "label": "", "dashed": false, "kind": "recorded" }, { "from": "ContinuousClopenCriterion", "to": "CountableAddressCriterion", "label": "", "dashed": false, "kind": "recorded" }, { "from": "PeriodicZeroTreeBarrier", "to": "CountableAddressCriterion", "label": "", "dashed": false, "kind": "recorded" }, { "from": "CountableAddressCriterion", "to": "MinusFifthAttractorOpen", "label": "оба варианта для u открыты", "dashed": true, "kind": "recorded" }, { "from": "LoopAlphabetCeiling", "to": "PairedTargetDensityOpen", "label": "не доказывает joint integer density", "dashed": true, "kind": "recorded" }, { "from": "LoopBlockGrammar", "to": "SupercriticalBlockFamily", "label": "", "dashed": false, "kind": "recorded" }, { "from": "SupercriticalBlockFamily", "to": "AllIntegrableProfilesExcluded", "label": "", "dashed": false, "kind": "recorded" }, { "from": "SupercriticalBlockFamily", "to": "CriticalResidueOverlapOpen", "label": "", "dashed": false, "kind": "recorded" }, { "from": "ContinuousClopenCriterion", "to": "CriticalResidueOverlapOpen", "label": "", "dashed": false, "kind": "recorded" }, { "from": "CriticalResidueOverlapOpen", "to": "AllIntegrableProfilesExcluded", "label": "", "dashed": false, "kind": "recorded" }, { "from": "ResidueLeadingProfile", "to": "AllIntegrableProfilesExcluded", "label": "", "dashed": false, "kind": "recorded" }, { "from": "SupercriticalBlockFamily", "to": "UnweightedBlockMassOpen", "label": "знак решён; конечность ещё нет", "dashed": true, "kind": "recorded" }, { "from": "StructuralBlockLengthBound", "to": "FullStructuralReturnGraph", "label": "", "dashed": false, "kind": "recorded" }, { "from": "FullStructuralReturnGraph", "to": "UnweightedBlockMassOpen", "label": "момент больше1; конечность неизвестна", "dashed": true, "kind": "recorded" }, { "from": "AllIntegrableProfilesExcluded", "to": "CriticalIntegerResolventOpen", "label": "нужны integer-specific методы без этого ansatz", "dashed": true, "kind": "recorded" }, { "from": "AllIntegrableProfilesExcluded", "to": "PairedTargetDensityOpen", "label": "совместная нижняя плотность не получена", "dashed": true, "kind": "recorded" }, { "from": "CriticalResidueOverlapOpen", "to": "MinusFifthAttractorOpen", "label": "exact collision не решает membership u", "dashed": true, "kind": "recorded" }, { "from": "StructuralBlockLengthBound", "to": "MinimalBadStructuralResidueBoundary", "label": "", "dashed": false, "kind": "recorded" }, { "from": "MinimalSurvivorInverseBoundary", "to": "MinimalBadStructuralResidueBoundary", "label": "", "dashed": false, "kind": "recorded" }, { "from": "PositiveIntegerWeightBound", "to": "MixedPairReturnClock", "label": "", "dashed": false, "kind": "recorded" }, { "from": "MinimalBadStructuralResidueBoundary", "to": "PairedTargetDensityOpen", "label": "нужен полный парный счёт с разными временами", "dashed": true, "kind": "recorded" }, { "from": "MixedPairReturnClock", "to": "CriticalIntegerResolventOpen", "label": "гармоническая оценка не даёт критическую сумму", "dashed": true, "kind": "recorded" }, { "from": "IntegerFirstHitCount", "to": "UniformIntervalOddDepth", "label": "", "dashed": false, "kind": "recorded" }, { "from": "UniformIntervalOddDepth", "to": "PairedTargetDensityOpen", "label": "нижний счёт глубоких совместных путей открыт", "dashed": true, "kind": "recorded" }, { "from": "UniformIntervalOddDepth", "to": "OddDepthHarmonicMass", "label": "", "dashed": false, "kind": "recorded" }, { "from": "PositiveIntegerWeightBound", "to": "OddDepthHarmonicMass", "label": "", "dashed": false, "kind": "recorded" }, { "from": "MixedPairReturnClock", "to": "OddDepthHarmonicMass", "label": "", "dashed": false, "kind": "recorded" }, { "from": "OddDepthHarmonicMass", "to": "CriticalIntegerResolventOpen", "label": "при z→1 верхняя граница расходится", "dashed": true, "kind": "recorded" }, { "from": "OddDepthHarmonicMass", "to": "PairedTargetDensityOpen", "label": "верхняя оценка не даёт совместной нижней плотности", "dashed": true, "kind": "recorded" }, { "from": "Coalesce", "to": "FiniteDefectPredecessorBoundary", "label": "", "dashed": false, "kind": "recorded" }, { "from": "Uniform", "to": "FiniteDefectPredecessorBoundary", "label": "", "dashed": false, "kind": "recorded" }, { "from": "IntegerFirstHitCount", "to": "FiniteDefectPredecessorBoundary", "label": "", "dashed": false, "kind": "recorded" }, { "from": "FiniteDefectPredecessorBoundary", "to": "FixedTargetPairComparability", "label": "", "dashed": false, "kind": "recorded" }, { "from": "FixedTargetPairComparability", "to": "PairedTargetDensityOpen", "label": "нужен аргумент о самой целой траектории", "dashed": true, "kind": "recorded" }, { "from": "FixedTargetPairComparability", "to": "Trace", "label": "нулевая плотность не исключает целый источник", "dashed": true, "kind": "recorded" }, { "from": "DiophantineFiniteGridGap", "to": "PolynomialBoundaryBirthLowerBound", "label": "", "dashed": false, "kind": "recorded" }, { "from": "Exact", "to": "PolynomialBoundaryBirthLowerBound", "label": "", "dashed": false, "kind": "recorded" }, { "from": "PolynomialBoundaryBirthLowerBound", "to": "Rate", "label": "оценки совместимы", "dashed": true, "kind": "recorded" }, { "from": "PolynomialBoundaryBirthLowerBound", "to": "Trace", "label": "точечный спуск ещё не получен", "dashed": true, "kind": "recorded" }, { "from": "Heavy", "to": "TwoBoundaryCoverTailBarrier", "label": "ранее барьер одной пары", "dashed": true, "kind": "recorded" }, { "from": "PolynomialBoundaryBirthLowerBound", "to": "ActualBirthUpperBoundOpen", "label": "", "dashed": false, "kind": "recorded" }, { "from": "TwoBoundaryCoverTailBarrier", "to": "ActualBirthUpperBoundOpen", "label": "общей массы U_L недостаточно", "dashed": true, "kind": "recorded" }, { "from": "Exact", "to": "ActualBirthUpperBoundOpen", "label": "", "dashed": false, "kind": "recorded" }, { "from": "Exact", "to": "CriticalBirthEnergyInterface", "label": "", "dashed": false, "kind": "recorded" }, { "from": "PolynomialBoundaryBirthLowerBound", "to": "CriticalBirthEnergyInterface", "label": "сопоставление кванторов роста", "dashed": true, "kind": "recorded" }, { "from": "CriticalBirthEnergyInterface", "to": "ActualBirthUpperBoundOpen", "label": "", "dashed": false, "kind": "recorded" }, { "from": "Exact", "to": "MaskedBirthAncestry", "label": "", "dashed": false, "kind": "recorded" }, { "from": "CriticalBirthEnergyInterface", "to": "MaskedBirthAncestry", "label": "", "dashed": false, "kind": "recorded" }, { "from": "MaskedBirthAncestry", "to": "ActualBirthUpperBoundOpen", "label": "нужен контроль U₀+U₃+H", "dashed": true, "kind": "recorded" }, { "from": "Exact", "to": "CompleteLocalBirthRouting", "label": "", "dashed": false, "kind": "recorded" }, { "from": "MaskedBirthAncestry", "to": "CompleteLocalBirthRouting", "label": "", "dashed": false, "kind": "recorded" }, { "from": "CompleteLocalBirthRouting", "to": "MaskedBirthBlockDescentOpen", "label": "", "dashed": false, "kind": "recorded" }, { "from": "MaskedBirthBlockDescentOpen", "to": "Full", "label": "", "dashed": false, "kind": "recorded" }, { "from": "CompleteLocalBirthRouting", "to": "ActualBirthUpperBoundOpen", "label": "критические веса не замкнуты", "dashed": true, "kind": "recorded" }, { "from": "Exact", "to": "ColorStripTwoGrowthModes", "label": "", "dashed": false, "kind": "recorded" }, { "from": "CompleteLocalBirthRouting", "to": "ColorStripTwoGrowthModes", "label": "", "dashed": false, "kind": "recorded" }, { "from": "ColorStripTwoGrowthModes", "to": "MaskedBirthBlockDescentOpen", "label": "нужна компенсация всего блока", "dashed": true, "kind": "recorded" }, { "from": "ColorStripTwoGrowthModes", "to": "SparseGrowthCoreEnergy", "label": "", "dashed": false, "kind": "recorded" }, { "from": "CriticalBirthEnergyInterface", "to": "SparseGrowthCoreEnergy", "label": "", "dashed": false, "kind": "recorded" }, { "from": "SparseGrowthCoreEnergy", "to": "FiniteGrowthOriginEnergyOpen", "label": "", "dashed": false, "kind": "recorded" }, { "from": "FiniteGrowthOriginEnergyOpen", "to": "ActualBirthUpperBoundOpen", "label": "общий верх ещё нужен", "dashed": true, "kind": "recorded" }, { "from": "SparseGrowthCoreEnergy", "to": "MaskedBirthBlockDescentOpen", "label": "компенсация до начала не доказана", "dashed": true, "kind": "recorded" }, { "from": "SparseGrowthCoreEnergy", "to": "InverseGrowthOriginMasks", "label": "", "dashed": false, "kind": "recorded" }, { "from": "MaskedBirthAncestry", "to": "InverseGrowthOriginMasks", "label": "", "dashed": false, "kind": "recorded" }, { "from": "InverseGrowthOriginMasks", "to": "PrimitiveOriginTransferOpen", "label": "", "dashed": false, "kind": "recorded" }, { "from": "PrimitiveOriginTransferOpen", "to": "FiniteGrowthOriginEnergyOpen", "label": "нужны также кратности и масса цепей", "dashed": true, "kind": "recorded" }, { "from": "InverseGrowthOriginMasks", "to": "MaskedBirthBlockDescentOpen", "label": "все возвраты ещё не исключены", "dashed": true, "kind": "recorded" }, { "from": "ColorStripTwoGrowthModes", "to": "SingleOddFiniteChains", "label": "", "dashed": false, "kind": "recorded" }, { "from": "CompleteLocalBirthRouting", "to": "SingleOddFiniteChains", "label": "", "dashed": false, "kind": "recorded" }, { "from": "SingleOddFiniteChains", "to": "SingleOddImageContraction", "label": "", "dashed": false, "kind": "recorded" }, { "from": "MaskedBirthAncestry", "to": "SingleOddImageContraction", "label": "", "dashed": false, "kind": "recorded" }, { "from": "SingleOddImageContraction", "to": "SingleOddPrimitiveEnergyOpen", "label": "", "dashed": false, "kind": "recorded" }, { "from": "SingleOddPrimitiveEnergyOpen", "to": "ActualBirthUpperBoundOpen", "label": "неизвестен полный верх", "dashed": true, "kind": "recorded" }, { "from": "SingleOddFiniteChains", "to": "MaskedBirthBlockDescentOpen", "label": "terminal transfer может превысить начало", "dashed": true, "kind": "recorded" }, { "from": "SingleOddFiniteChains", "to": "BidirectionalBirthTransfer", "label": "", "dashed": false, "kind": "recorded" }, { "from": "CompleteLocalBirthRouting", "to": "BidirectionalBirthTransfer", "label": "", "dashed": false, "kind": "recorded" }, { "from": "BidirectionalBirthTransfer", "to": "BidirectionalSparseCores", "label": "", "dashed": false, "kind": "recorded" }, { "from": "BidirectionalBirthTransfer", "to": "BidirectionalOriginMasks", "label": "", "dashed": false, "kind": "recorded" }, { "from": "MaskedBirthAncestry", "to": "BidirectionalOriginMasks", "label": "", "dashed": false, "kind": "recorded" }, { "from": "BidirectionalSparseCores", "to": "BidirectionalFiniteChainMassOpen", "label": "", "dashed": false, "kind": "recorded" }, { "from": "BidirectionalOriginMasks", "to": "BidirectionalFiniteChainMassOpen", "label": "", "dashed": false, "kind": "recorded" }, { "from": "BidirectionalFiniteChainMassOpen", "to": "ActualBirthUpperBoundOpen", "label": "полный верх неизвестен", "dashed": true, "kind": "recorded" }, { "from": "BidirectionalFiniteChainMassOpen", "to": "MaskedBirthBlockDescentOpen", "label": "общий спуск неизвестен", "dashed": true, "kind": "recorded" }, { "from": "BidirectionalSparseCores", "to": "FiniteComponentMinimumBound", "label": "", "dashed": false, "kind": "recorded" }, { "from": "BidirectionalBirthTransfer", "to": "BalancedFiniteChainBarrier", "label": "", "dashed": false, "kind": "recorded" }, { "from": "FiniteComponentMinimumBound", "to": "BidirectionalFiniteChainMassOpen", "label": "", "dashed": false, "kind": "recorded" }, { "from": "BalancedFiniteChainBarrier", "to": "BidirectionalFiniteChainMassOpen", "label": "", "dashed": false, "kind": "recorded" }, { "from": "BidirectionalBirthTransfer", "to": "TerminalBirthSpacingBound", "label": "", "dashed": false, "kind": "recorded" }, { "from": "MaskedBirthAncestry", "to": "TerminalBirthSpacingBound", "label": "", "dashed": false, "kind": "recorded" }, { "from": "TerminalBirthSpacingBound", "to": "BidirectionalFiniteChainMassOpen", "label": "только концы", "dashed": true, "kind": "recorded" }, { "from": "CriticalBirthEnergyInterface", "to": "FiniteEnergyPointwiseBridgeOpen", "label": "", "dashed": false, "kind": "recorded" }, { "from": "ActualBirthUpperBoundOpen", "to": "FiniteEnergyPointwiseBridgeOpen", "label": "после получения полного верха", "dashed": true, "kind": "recorded" }, { "from": "FiniteEnergyPointwiseBridgeOpen", "to": "Full", "label": "нужен точечный вывод", "dashed": true, "kind": "recorded" }, { "from": "BidirectionalBirthTransfer", "to": "EndpointCountTransport", "label": "", "dashed": false, "kind": "recorded" }, { "from": "BidirectionalSparseCores", "to": "EndpointCountTransport", "label": "", "dashed": false, "kind": "recorded" }, { "from": "EndpointCountTransport", "to": "EndpointSparsityCriterion", "label": "", "dashed": false, "kind": "recorded" }, { "from": "EndpointSparsityOpen", "to": "EndpointSparsityCriterion", "label": "", "dashed": false, "kind": "recorded" }, { "from": "EndpointSparsityCriterion", "to": "ActualBirthUpperBoundOpen", "label": "после доказательства входа", "dashed": true, "kind": "recorded" }, { "from": "TerminalBirthSpacingBound", "to": "EndpointSparsityOpen", "label": "редкость ещё не следует", "dashed": true, "kind": "recorded" }, { "from": "BidirectionalOriginMasks", "to": "EndpointSparsityOpen", "label": "P1 остаётся", "dashed": true, "kind": "recorded" }, { "from": "EndpointSparsityCriterion", "to": "BidirectionalFiniteChainMassOpen", "label": "условный контроль всей массы", "dashed": true, "kind": "recorded" }, { "from": "MaskedBirthAncestry", "to": "OddActivePathGrammar", "label": "", "dashed": false, "kind": "recorded" }, { "from": "ColorStripTwoGrowthModes", "to": "TerminalTypeSpacingBound", "label": "", "dashed": false, "kind": "recorded" }, { "from": "TerminalBirthSpacingBound", "to": "TerminalTypeSpacingBound", "label": "", "dashed": false, "kind": "recorded" }, { "from": "OddActivePathGrammar", "to": "TerminalTypeSpacingBound", "label": "", "dashed": false, "kind": "recorded" }, { "from": "OddActivePathGrammar", "to": "JointOriginChargeBound", "label": "", "dashed": false, "kind": "recorded" }, { "from": "BidirectionalOriginMasks", "to": "JointOriginChargeBound", "label": "", "dashed": false, "kind": "recorded" }, { "from": "JointOriginChargeBound", "to": "EndpointSparsityOpen", "label": "P1 остаётся открытым", "dashed": true, "kind": "recorded" }, { "from": "TerminalTypeSpacingBound", "to": "EndpointSparsityOpen", "label": "редкость не доказана", "dashed": true, "kind": "recorded" }, { "from": "OddActivePathGrammar", "to": "EvenBirthResidueBound", "label": "", "dashed": false, "kind": "recorded" }, { "from": "CompleteLocalBirthRouting", "to": "EvenBirthResidueBound", "label": "", "dashed": false, "kind": "recorded" }, { "from": "BidirectionalBirthTransfer", "to": "GlobalBirthDirichletBalance", "label": "", "dashed": false, "kind": "recorded" }, { "from": "EndpointCountTransport", "to": "CriticalEndpointEscape", "label": "", "dashed": false, "kind": "recorded" }, { "from": "CriticalEndpointEscape", "to": "ActualBirthUpperBoundOpen", "label": "слабее конечной энергии", "dashed": true, "kind": "recorded" }, { "from": "EvenBirthResidueBound", "to": "ActualBirthUpperBoundOpen", "label": "нечётная часть открыта", "dashed": true, "kind": "recorded" }, { "from": "CriticalBulkExclusionOpen", "to": "ActualBirthUpperBoundOpen", "label": "другие режимы ещё открыты", "dashed": true, "kind": "recorded" }, { "from": "JointOriginChargeBound", "to": "SelectedEndpointEnergyOpen", "label": "только часть нужных весов", "dashed": true, "kind": "recorded" }, { "from": "CompleteLocalBirthRouting", "to": "ActiveChannelConservation", "label": "", "dashed": false, "kind": "recorded" }, { "from": "OddActivePathGrammar", "to": "ActiveChannelConservation", "label": "", "dashed": false, "kind": "recorded" }, { "from": "ActiveChannelConservation", "to": "ParityResidueChannelBalance", "label": "", "dashed": false, "kind": "recorded" }, { "from": "ParityResidueChannelBalance", "to": "EndpointEnergyBridge", "label": "", "dashed": false, "kind": "recorded" }, { "from": "GlobalBirthDirichletBalance", "to": "EndpointEnergyBridge", "label": "", "dashed": false, "kind": "recorded" }, { "from": "EndpointEnergyBridge", "to": "CriticalBulkExclusionOpen", "label": "", "dashed": false, "kind": "recorded" }, { "from": "EndpointEnergyBridge", "to": "SelectedEndpointEnergyOpen", "label": "недостающий вход", "dashed": true, "kind": "recorded" }, { "from": "SelectedEndpointEnergyOpen", "to": "ActualBirthUpperBoundOpen", "label": "требуется конечность", "dashed": true, "kind": "recorded" }, { "from": "EndpointEnergyBridge", "to": "BidirectionalFiniteChainMassOpen", "label": "глобально, не по каждой компоненте", "dashed": true, "kind": "recorded" }, { "from": "ActiveChannelConservation", "to": "RColumnSignedCompensation", "label": "", "dashed": false, "kind": "recorded" }, { "from": "ActiveChannelConservation", "to": "SignedSPathPotential", "label": "", "dashed": false, "kind": "recorded" }, { "from": "OddActivePathGrammar", "to": "SignedSPathPotential", "label": "", "dashed": false, "kind": "recorded" }, { "from": "ParityResidueChannelBalance", "to": "SingleTerminalEnergyBridge", "label": "", "dashed": false, "kind": "recorded" }, { "from": "SignedSPathPotential", "to": "SingleTerminalEnergyBridge", "label": "", "dashed": false, "kind": "recorded" }, { "from": "EndpointEnergyBridge", "to": "SingleTerminalEnergyBridge", "label": "", "dashed": false, "kind": "recorded" }, { "from": "RColumnSignedCompensation", "to": "MultiplicativeDefectEnergyCriterion", "label": "", "dashed": false, "kind": "recorded" }, { "from": "SingleTerminalEnergyBridge", "to": "MultiplicativeDefectEnergyCriterion", "label": "", "dashed": false, "kind": "recorded" }, { "from": "SingleTerminalEnergyBridge", "to": "SelectedEndpointEnergyOpen", "label": "нужна конечность ZR", "dashed": true, "kind": "recorded" }, { "from": "MultiplicativeDefectEnergyCriterion", "to": "MultiplicativeDefectFiniteOpen", "label": "недостающий вход", "dashed": true, "kind": "recorded" }, { "from": "MultiplicativeDefectFiniteOpen", "to": "ActualBirthUpperBoundOpen", "label": "нужна конечность", "dashed": true, "kind": "recorded" }, { "from": "SelectedEndpointEnergyOpen", "to": "MultiplicativeDefectFiniteOpen", "label": "эквивалентно", "dashed": true, "kind": "recorded" }, { "from": "MultiplicativeDefectEnergyCriterion", "to": "DefectFluxIdentity", "label": "", "dashed": false, "kind": "recorded" }, { "from": "ActiveChannelConservation", "to": "DefectFluxIdentity", "label": "", "dashed": false, "kind": "recorded" }, { "from": "DefectFluxIdentity", "to": "RelaxedDefectVariationBarrier", "label": "", "dashed": false, "kind": "recorded" }, { "from": "RelaxedDefectVariationBarrier", "to": "ActualDefectColorCoercivityOpen", "label": "ограничение метода", "dashed": true, "kind": "recorded" }, { "from": "DefectFluxIdentity", "to": "ActualDefectColorCoercivityOpen", "label": "положительная оценка не получена", "dashed": true, "kind": "recorded" }, { "from": "ActualDefectColorCoercivityOpen", "to": "MultiplicativeDefectFiniteOpen", "label": "нужен новый аргумент", "dashed": true, "kind": "recorded" }, { "from": "MultiplicativeDefectEnergyCriterion", "to": "ForcedMultiplicativeZeroFamily", "label": "", "dashed": false, "kind": "recorded" }, { "from": "DefectFluxIdentity", "to": "ForcedMultiplicativeZeroFamily", "label": "", "dashed": false, "kind": "recorded" }, { "from": "ForcedMultiplicativeZeroFamily", "to": "MultiplicativeSwapDescent", "label": "", "dashed": false, "kind": "recorded" }, { "from": "ForcedMultiplicativeZeroFamily", "to": "DefectVariationDensityCriterion", "label": "", "dashed": false, "kind": "recorded" }, { "from": "DefectFluxIdentity", "to": "DefectVariationDensityCriterion", "label": "", "dashed": false, "kind": "recorded" }, { "from": "MultiplicativeSwapDescent", "to": "ActualDefectColorCoercivityOpen", "label": "конечность ядра не получена", "dashed": true, "kind": "recorded" }, { "from": "ForcedMultiplicativeZeroFamily", "to": "ActualDefectColorCoercivityOpen", "label": "неполное покрытие", "dashed": true, "kind": "recorded" }, { "from": "DefectVariationDensityCriterion", "to": "ActualDefectColorCoercivityOpen", "label": "нет суммируемой оценки", "dashed": true, "kind": "recorded" }, { "from": "MultiplicativeSwapDescent", "to": "LongBlockSignedDynamics", "label": "", "dashed": false, "kind": "recorded" }, { "from": "ForcedMultiplicativeZeroFamily", "to": "LongBlockSignedDynamics", "label": "", "dashed": false, "kind": "recorded" }, { "from": "LongBlockSignedDynamics", "to": "LongBlockInverseWeights", "label": "", "dashed": false, "kind": "recorded" }, { "from": "LongBlockInverseWeights", "to": "ShortBlockCoreReduction", "label": "", "dashed": false, "kind": "recorded" }, { "from": "ForcedMultiplicativeZeroFamily", "to": "ShortBlockCoreReduction", "label": "", "dashed": false, "kind": "recorded" }, { "from": "LongBlockSignedDynamics", "to": "ActualDefectColorCoercivityOpen", "label": "покрытие не универсально", "dashed": true, "kind": "recorded" }, { "from": "LongBlockInverseWeights", "to": "ActualDefectColorCoercivityOpen", "label": "целевая масса не оценена", "dashed": true, "kind": "recorded" }, { "from": "ShortBlockCoreReduction", "to": "ActualDefectColorCoercivityOpen", "label": "конечность ядра не получена", "dashed": true, "kind": "recorded" }, { "from": "ColorStripTwoGrowthModes", "to": "EvenValuationDefectDescent", "label": "", "dashed": false, "kind": "recorded" }, { "from": "EvenValuationDefectDescent", "to": "ShiftedCoreEnergyReduction", "label": "", "dashed": false, "kind": "recorded" }, { "from": "PositiveSideDefectZeros", "to": "ShiftedCoreEnergyReduction", "label": "", "dashed": false, "kind": "recorded" }, { "from": "ForcedMultiplicativeZeroFamily", "to": "ShiftedCoreEnergyReduction", "label": "", "dashed": false, "kind": "recorded" }, { "from": "ShortBlockCoreReduction", "to": "ShiftedCoreEnergyReduction", "label": "ограниченная целевая оценка LB10", "dashed": false, "kind": "recorded" }, { "from": "EvenValuationDefectDescent", "to": "ActualDefectColorCoercivityOpen", "label": "семейство не покрывает все нечётные", "dashed": true, "kind": "recorded" }, { "from": "ShiftedCoreEnergyReduction", "to": "ActualDefectColorCoercivityOpen", "label": "конечность ядра ещё не получена", "dashed": true, "kind": "recorded" }, { "from": "Coalesce", "to": "AutomaticStoneErgodicityOpen", "label": "", "dashed": false, "kind": "recorded" }, { "from": "AutomaticShiftFactor", "to": "AutomaticStoneErgodicityOpen", "label": "", "dashed": false, "kind": "recorded" }, { "from": "AutomaticStoneErgodicityOpen", "to": "AutomaticFixedTestDecorrelation", "label": "", "dashed": false, "kind": "recorded" }, { "from": "AutomaticFixedTestDecorrelation", "to": "AutomaticNullDefectSeparation", "label": "", "dashed": false, "kind": "recorded" }, { "from": "NullDefectDoesNotGiveExact", "to": "AutomaticNullDefectSeparation", "label": "", "dashed": false, "kind": "recorded" }, { "from": "AutomaticFixedTestDecorrelation", "to": "ActualAutomaticApproxOpen", "label": "самостоятельная верхняя оценка ошибки не получена", "dashed": true, "kind": "recorded" }, { "from": "Coalesce", "to": "StructuralSeedMassEscape", "label": "", "dashed": false, "kind": "recorded" }, { "from": "StructuralSeedMassEscape", "to": "MovingSeedCoverageBoundary", "label": "", "dashed": false, "kind": "recorded" }, { "from": "Rate", "to": "MovingSeedCoverageBoundary", "label": "", "dashed": false, "kind": "recorded" }, { "from": "MovingSeedCoverageBoundary", "to": "Full", "label": "неограниченное покрытие ещё не получено", "dashed": true, "kind": "recorded" }, { "from": "StructuralSeedMassEscape", "to": "DyadicUnionMassBound", "label": "", "dashed": false, "kind": "recorded" }, { "from": "Rate", "to": "DyadicUnionMassBound", "label": "", "dashed": false, "kind": "recorded" }, { "from": "DyadicUnionMassBound", "to": "MovingSeedCoverageBoundary", "label": "", "dashed": false, "kind": "recorded" }, { "from": "StructuralSeedMassEscape", "to": "OrdinaryOffsetClasses", "label": "", "dashed": false, "kind": "recorded" }, { "from": "OrdinaryOffsetClasses", "to": "OrdinaryOffsetWindowBoundary", "label": "", "dashed": false, "kind": "recorded" }, { "from": "DyadicUnionMassBound", "to": "OrdinaryOffsetWindowBoundary", "label": "", "dashed": false, "kind": "recorded" }, { "from": "OrdinaryOffsetWindowBoundary", "to": "Full", "label": "все неограниченные смещения ещё не охвачены", "dashed": true, "kind": "recorded" }, { "from": "KnownComplexity", "to": "ConcaveSubrootParity", "label": "механизм совпадающих блоков", "dashed": false, "kind": "recorded" }, { "from": "ConcaveSubrootParity", "to": "OtherCodes", "label": "произвольные коды не охвачены", "dashed": true, "kind": "recorded" }, { "from": "ConcaveSubrootParity", "to": "LowEntropyPositionErrors", "label": "", "dashed": false, "kind": "recorded" }, { "from": "LowEntropyPositionErrors", "to": "OtherCodes", "label": "H3: одной ограниченности ошибки недостаточно", "dashed": true, "kind": "recorded" }, { "from": "ThetaSecondAffine", "to": "ThetaQuotientJetOpen", "label": "совместная отмена ещё открыта", "dashed": true, "kind": "recorded" }, { "from": "ThetaQuotientJetOpen", "to": "ThetaDeepExcessOpen", "label": "", "dashed": false, "kind": "recorded" }, { "from": "ThetaScalarMinorGcd", "to": "ThetaCubicLocation", "label": "", "dashed": false, "kind": "recorded" }, { "from": "ThetaSpecialCyclotomic", "to": "ThetaCubicLocation", "label": "", "dashed": false, "kind": "recorded" }, { "from": "ThetaOneRowResultant", "to": "ThetaCubicLocation", "label": "", "dashed": false, "kind": "recorded" }, { "from": "ThetaCubicLocation", "to": "ThetaDeepExcessOpen", "label": "возможная часть кубического вклада при D", "dashed": true, "kind": "recorded" }, { "from": "ThetaCubicLocation", "to": "ThetaLargeOrderOpen", "label": "возможная часть кубического вклада при D", "dashed": true, "kind": "recorded" }, { "from": "ThetaDeepExcessOpen", "to": "ThetaScalarDenominatorOpen", "label": "", "dashed": false, "kind": "recorded" }, { "from": "ThetaLargeOrderOpen", "to": "ThetaScalarDenominatorOpen", "label": "", "dashed": false, "kind": "recorded" }, { "from": "ThetaCubicLocation", "to": "ThetaFirstJet", "label": "", "dashed": false, "kind": "recorded" }, { "from": "ThetaPadicWindowDescent", "to": "ThetaFirstJet", "label": "", "dashed": false, "kind": "recorded" }, { "from": "ThetaFirstJet", "to": "ThetaJetIdealBarrier", "label": "критерий не проходит на плохом окне", "dashed": true, "kind": "recorded" }, { "from": "ThetaIntegralDuality", "to": "ThetaOneRowResultant", "label": "", "dashed": false, "kind": "recorded" }, { "from": "ThetaFormalKrylov", "to": "ThetaOneRowResultant", "label": "", "dashed": false, "kind": "recorded" }, { "from": "ThetaOneRowResultant", "to": "ThetaScalarDenominatorOpen", "label": "полная глубина и остальные каналы открыты", "dashed": true, "kind": "recorded" }, { "from": "ThetaKrylovCandidate", "to": "ThetaFormalKrylov", "label": "", "dashed": false, "kind": "recorded" }, { "from": "ThetaLocalExceptions", "to": "ThetaFormalKrylov", "label": "", "dashed": false, "kind": "recorded" }, { "from": "ThetaFormalKrylov", "to": "ThetaScalarDenominatorOpen", "label": "высота нормы и полная глубина открыты", "dashed": true, "kind": "recorded" }, { "from": "ThetaPadicWindowDescent", "to": "ThetaOrderFourSecond", "label": "", "dashed": false, "kind": "recorded" }, { "from": "ThetaOrderFourSecond", "to": "ThetaScalarDenominatorOpen", "label": "остальные порядки и общий НОД открыты", "dashed": true, "kind": "recorded" }, { "from": "IrrationalPF", "to": "PrimitiveBinary", "label": "", "dashed": false, "kind": "recorded" }, { "from": "IntegerPF", "to": "PrimitiveBinary", "label": "", "dashed": false, "kind": "recorded" }, { "from": "AffineFree", "to": "UnitEigen", "label": "", "dashed": false, "kind": "recorded" }, { "from": "UnitEigen", "to": "PrimitiveBinary", "label": "", "dashed": false, "kind": "recorded" }, { "from": "PrimitiveBinary", "to": "OtherCodes", "label": "остальные коды не охвачены", "dashed": true, "kind": "recorded" }, { "from": "PrimitiveBinary", "to": "SAdic", "label": "переменная директива", "dashed": true, "kind": "recorded" }, { "from": "CoefficientSource", "to": "CompactTower", "label": "", "dashed": false, "kind": "recorded" }, { "from": "SAdic", "to": "CompactTower", "label": "", "dashed": false, "kind": "recorded" }, { "from": "SAdic", "to": "IrrationalExample", "label": "", "dashed": false, "kind": "recorded" }, { "from": "CompactTower", "to": "TernaryExample", "label": "", "dashed": false, "kind": "recorded" }, { "from": "CompactTower", "to": "VariableMatrix", "label": "", "dashed": false, "kind": "recorded" }, { "from": "CFGap", "to": "VariableMatrix", "label": "", "dashed": false, "kind": "recorded" }, { "from": "VariableMatrix", "to": "UnboundedCF", "label": "неограниченные цифры", "dashed": true, "kind": "recorded" }, { "from": "UnboundedCF", "to": "MovingOne", "label": "", "dashed": false, "kind": "recorded" }, { "from": "MovingOne", "to": "MechanicalRepresentation", "label": "", "dashed": false, "kind": "recorded" }, { "from": "MechanicalRepresentation", "to": "QuasiValues", "label": "", "dashed": false, "kind": "recorded" }, { "from": "MovingOne", "to": "AlgebraicValues", "label": "", "dashed": false, "kind": "recorded" }, { "from": "MechanicalRepresentation", "to": "AlgebraicValues", "label": "", "dashed": false, "kind": "recorded" }, { "from": "QuasiValues", "to": "AlgebraicValues", "label": "", "dashed": false, "kind": "recorded" }, { "from": "ParameterBoundary", "to": "AlgebraicValues", "label": "ограничение области параметров", "dashed": true, "kind": "recorded" }, { "from": "WordBoundary", "to": "AlgebraicValues", "label": "ограничение семейства слов", "dashed": true, "kind": "recorded" }, { "from": "ThreeSystem", "to": "ThreeFormal", "label": "", "dashed": false, "kind": "recorded" }, { "from": "ThreeComplexity", "to": "ThreeIrrational", "label": "", "dashed": false, "kind": "recorded" }, { "from": "FrequencyGrowth", "to": "ThreeIrrational", "label": "", "dashed": false, "kind": "recorded" }, { "from": "FrequencyGrowth", "to": "AutomaticConditional", "label": "", "dashed": false, "kind": "recorded" }, { "from": "FrequencyFree", "to": "FrequencyGrowth", "label": "", "dashed": false, "kind": "recorded" }, { "from": "FrequencyFree", "to": "OtherCodes", "label": "всеобщая неограниченность не доказана", "dashed": true, "kind": "recorded" }, { "from": "AutomaticDensityKnown", "to": "AutomaticConditional", "label": "уточнение учёта известного", "dashed": true, "kind": "recorded" }, { "from": "FrequencyGrowth", "to": "CyclicConditional", "label": "", "dashed": false, "kind": "recorded" }, { "from": "FrequencyGrowth", "to": "CyclicExplicit", "label": "", "dashed": false, "kind": "recorded" }, { "from": "CyclicExplicit", "to": "CyclicMorphic", "label": "", "dashed": false, "kind": "recorded" }, { "from": "CyclicImagePeriod", "to": "CyclicMorphic", "label": "", "dashed": false, "kind": "recorded" }, { "from": "BaseProjection", "to": "AllBasePhase", "label": "", "dashed": false, "kind": "recorded" }, { "from": "AllBasePhase", "to": "PrefixSquares", "label": "", "dashed": false, "kind": "recorded" }, { "from": "FrequencyFree", "to": "PrefixSquares", "label": "", "dashed": false, "kind": "recorded" }, { "from": "PrefixSquares", "to": "BaseChangeBoundary", "label": "остальные основания не следуют", "dashed": true, "kind": "recorded" }, { "from": "AllBasePhase", "to": "PeriodicCycles", "label": "", "dashed": false, "kind": "recorded" }, { "from": "PeriodicCycles", "to": "OneSymbolCycles", "label": "", "dashed": false, "kind": "recorded" }, { "from": "PeriodicCycles", "to": "AllPositiveCycles", "label": "общий вопрос о целых циклах не решён", "dashed": true, "kind": "recorded" }, { "from": "AllPositiveCycles", "to": "Full", "label": "необходимая часть", "dashed": true, "kind": "recorded" }, { "from": "PrefixSquares", "to": "OtherCodes", "label": "произвольные коды не охвачены", "dashed": true, "kind": "recorded" }, { "from": "ThreeFormal", "to": "JointThreeValues", "label": "", "dashed": false, "kind": "recorded" }, { "from": "ThreeSystem", "to": "JointThreeValues", "label": "", "dashed": false, "kind": "recorded" }, { "from": "JointThreeValues", "to": "ThreeTranscendence", "label": "прежний совместный вывод", "dashed": true, "kind": "recorded" }, { "from": "ThreeSystem", "to": "ThreeGaugeBoundary", "label": "", "dashed": false, "kind": "recorded" }, { "from": "ThreeSystem", "to": "ThreeAffine", "label": "", "dashed": false, "kind": "recorded" }, { "from": "ThreeAffine", "to": "RiccatiDegree", "label": "", "dashed": false, "kind": "recorded" }, { "from": "RiccatiDegree", "to": "RationalIrreducibility", "label": "", "dashed": false, "kind": "recorded" }, { "from": "RationalIrreducibility", "to": "ThreeScalarOrder", "label": "", "dashed": false, "kind": "recorded" }, { "from": "ThreeAffine", "to": "ThreeScalarOrder", "label": "", "dashed": false, "kind": "recorded" }, { "from": "ThreeScalarOrder", "to": "SelectedValueBoundary", "label": "отдельный функциональный результат", "dashed": true, "kind": "recorded" }, { "from": "RationalIrreducibility", "to": "SelectedValueBoundary", "label": "сама не даёт числового переноса", "dashed": true, "kind": "recorded" }, { "from": "CyclicMorphic", "to": "OtherCodes", "label": "произвольные коды не охвачены", "dashed": true, "kind": "recorded" }, { "from": "CyclicConditional", "to": "CyclicExplicit", "label": "более сильный критерий для того же семейства", "dashed": true, "kind": "recorded" }, { "from": "CyclicExplicit", "to": "OtherCodes", "label": "остальные коды не охвачены", "dashed": true, "kind": "recorded" }, { "from": "AutomaticConditional", "to": "OtherCodes", "label": "произвольные коды не охвачены", "dashed": true, "kind": "recorded" }, { "from": "CyclicConditional", "to": "OtherCodes", "label": "произвольные коды не охвачены", "dashed": true, "kind": "recorded" }, { "from": "SubspaceKnown", "to": "SubspaceM20", "label": "", "dashed": false, "kind": "recorded" }, { "from": "SubspaceKnown", "to": "JointRealPadicM21", "label": "", "dashed": false, "kind": "recorded" }, { "from": "JointRealPadicM21", "to": "JointOddAffine", "label": "", "dashed": false, "kind": "recorded" }, { "from": "JointRealPadicM21", "to": "JointWindowDrift", "label": "", "dashed": false, "kind": "recorded" }, { "from": "JointRealPadicM21", "to": "JointPrefixOscillation", "label": "", "dashed": false, "kind": "recorded" }, { "from": "JointPrefixOscillation", "to": "MaskZeroBanach", "label": "", "dashed": false, "kind": "recorded" }, { "from": "MaskZeroBanach", "to": "MaskSelected", "label": "", "dashed": false, "kind": "recorded" }, { "from": "FrequencyFreeSubspace", "to": "MaskSelected", "label": "", "dashed": false, "kind": "recorded" }, { "from": "PrimitiveHeightSubspace", "to": "NumeratorSubspace", "label": "", "dashed": false, "kind": "recorded" }, { "from": "ActualErrorReduction", "to": "NumeratorSubspace", "label": "", "dashed": false, "kind": "recorded" }, { "from": "PeriodPowerReduction", "to": "NumeratorSubspace", "label": "", "dashed": false, "kind": "recorded" }, { "from": "NumeratorSubspace", "to": "ZeroPeriodHeight", "label": "", "dashed": false, "kind": "recorded" }, { "from": "NumeratorSubspace", "to": "OnePeriodHeight", "label": "", "dashed": false, "kind": "recorded" }, { "from": "OnePeriodHeight", "to": "FixedPeriodHeight", "label": "", "dashed": false, "kind": "recorded" }, { "from": "FixedPeriodHeight", "to": "GrowingPeriodHeight", "label": "", "dashed": false, "kind": "recorded" }, { "from": "GrowingPeriodHeight", "to": "ExpandingPeriodHeight", "label": "", "dashed": false, "kind": "recorded" }, { "from": "IntegerBranchBound", "to": "ExpandingPeriodHeight", "label": "", "dashed": false, "kind": "recorded" }, { "from": "IntegerBranchBound", "to": "FullPrecisionBranch", "label": "", "dashed": false, "kind": "recorded" }, { "from": "FullPrecisionBranch", "to": "FullPrecisionValuation", "label": "", "dashed": false, "kind": "recorded" }, { "from": "FullPrecisionValuation", "to": "FullRationalGcd", "label": "", "dashed": false, "kind": "recorded" }, { "from": "FullPrecisionBranch", "to": "BlockDescentHeight", "label": "", "dashed": false, "kind": "recorded" }, { "from": "BakerPeriodHeight", "to": "BlockDescentHeight", "label": "", "dashed": false, "kind": "recorded" }, { "from": "BlockDescentHeight", "to": "OtherCodes", "label": "спуск ниже исходного числа не доказан", "dashed": true, "kind": "recorded" }, { "from": "FullPrecisionBranch", "to": "UniformActualValuation", "label": "", "dashed": false, "kind": "recorded" }, { "from": "AutomaticOriginKnown", "to": "UniformActualValuation", "label": "", "dashed": false, "kind": "recorded" }, { "from": "UniformActualValuation", "to": "BlockDescentHeight", "label": "", "dashed": false, "kind": "recorded" }, { "from": "FullPrecisionValuation", "to": "LocalDenominatorGrowth", "label": "", "dashed": false, "kind": "recorded" }, { "from": "FullRationalGcd", "to": "LocalDenominatorGrowth", "label": "", "dashed": false, "kind": "recorded" }, { "from": "UniformActualValuation", "to": "LocalDenominatorGrowth", "label": "", "dashed": false, "kind": "recorded" }, { "from": "ChainedRepeatSelection", "to": "OrderedRepeatSelection", "label": "общий охват не доказан", "dashed": true, "kind": "recorded" }, { "from": "SturmianFixedReturns", "to": "OrderedRepeatSelection", "label": "частный класс", "dashed": true, "kind": "recorded" }, { "from": "ChainedRepeatSelection", "to": "RepeatGraphDichotomy", "label": "", "dashed": false, "kind": "recorded" }, { "from": "FixedReturnsIce", "to": "RepeatGraphDichotomy", "label": "", "dashed": false, "kind": "recorded" }, { "from": "RepeatGraphDichotomy", "to": "OrderedRepeatSelection", "label": "наличие положительной ветви не доказано", "dashed": true, "kind": "recorded" }, { "from": "ExactLcpCounts", "to": "OrderedRepeatSelection", "label": "общий переход открыт", "dashed": true, "kind": "recorded" }, { "from": "DiscountedRepeats", "to": "DiscountedApplicability", "label": "требуется свойство настоящего графа", "dashed": true, "kind": "recorded" }, { "from": "DiscountedApplicability", "to": "OrderedRepeatSelection", "label": "общий охват открыт", "dashed": true, "kind": "recorded" }, { "from": "ConstantRunGeometry", "to": "DiscountedApplicability", "label": "более общие слова открыты", "dashed": true, "kind": "recorded" }, { "from": "WeightedLcpReward", "to": "DiscountedRepeats", "label": "", "dashed": false, "kind": "recorded" }, { "from": "DiscountedRepeats", "to": "DiscountedGraphDuality", "label": "", "dashed": false, "kind": "recorded" }, { "from": "DiscountedGraphDuality", "to": "DiscountedApplicability", "label": "точная рекурсия не обеспечена", "dashed": true, "kind": "recorded" }, { "from": "DiscountedRepeats", "to": "FiniteDeletionReward", "label": "", "dashed": false, "kind": "recorded" }, { "from": "DiscountedGraphDuality", "to": "FixedPrecisionLabels", "label": "", "dashed": false, "kind": "recorded" }, { "from": "FixedPrecisionLabels", "to": "DiscountedApplicability", "label": "один ограниченный старт при растущей точности не получен", "dashed": true, "kind": "recorded" }, { "from": "FixedPrecisionLabels", "to": "BoundedStartCompactness", "label": "", "dashed": false, "kind": "recorded" }, { "from": "FixedPrecisionLabels", "to": "LcpRewardBoundary", "label": "", "dashed": false, "kind": "recorded" }, { "from": "BoundedStartCompactness", "to": "DiscountedApplicability", "label": "наличие нужного ограниченного семейства открыто", "dashed": true, "kind": "recorded" }, { "from": "GrowingPrecisionBoundary", "to": "BoundedStartCompactness", "label": "точность должна сравниваться с высотой", "dashed": true, "kind": "recorded" }, { "from": "AutomaticRepeatChains", "to": "ChainedRepeatSelection", "label": "", "dashed": false, "kind": "recorded" }, { "from": "AutomaticRepeatChains", "to": "AutomaticArithmeticMargin", "label": "нужны дополнительные арифметические оценки", "dashed": true, "kind": "recorded" }, { "from": "AutomaticArithmeticMargin", "to": "OtherCodes", "label": "общий охват не установлен", "dashed": true, "kind": "recorded" }, { "from": "AutomaticRepeatChains", "to": "AutomaticArithmeticRequirements", "label": "", "dashed": false, "kind": "recorded" }, { "from": "AutomaticArithmeticRequirements", "to": "AutomaticArithmeticMargin", "label": "наличие достаточной маржи открыто", "dashed": true, "kind": "recorded" }, { "from": "DiscountedGraphDuality", "to": "FiniteValuePersistentTail", "label": "", "dashed": false, "kind": "recorded" }, { "from": "ComparableSubstitutionChains", "to": "ChainedRepeatSelection", "label": "", "dashed": false, "kind": "recorded" }, { "from": "ComparableSubstitutionChains", "to": "OrderedRepeatSelection", "label": "все морфические слова не 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false, "kind": "recorded" }, { "from": "ShortRunWeightedWord", "to": "WeightedLcpReward", "label": "", "dashed": false, "kind": "recorded" }, { "from": "SubspaceM20", "to": "TernaryM20Application", "label": "", "dashed": false, "kind": "recorded" }, { "from": "PrimitiveBinary", "to": "TernaryM20Application", "label": "", "dashed": false, "kind": "recorded" }, { "from": "TernaryM20Application", "to": "Rung1FiniteBridge", "label": "", "dashed": false, "kind": "recorded" }, { "from": "Rung1FiniteBridge", "to": "UniformBlockReduction", "label": "", "dashed": false, "kind": "recorded" }, { "from": "UniformBlockReduction", "to": "EqualCompletionOrbit", "label": "", "dashed": false, "kind": "recorded" }, { "from": "EqualCompletionOrbit", "to": "PadicRationalLifting", "label": "", "dashed": false, "kind": "recorded" }, { "from": "PadicLocalBound", "to": "PadicRationalLifting", "label": "", "dashed": false, "kind": "recorded" }, { "from": "PadicAuxiliaryAlgebra", "to": "PadicRationalLifting", "label": "", "dashed": false, "kind": "recorded" }, { "from": "PadicLocalDescent", "to": "PadicRationalLifting", "label": "", "dashed": false, "kind": "recorded" }, { "from": "PadicRationalLifting", "to": "UniformBlockApplication", "label": "", "dashed": false, "kind": "recorded" }, { "from": "EqualCompletionOrbit", "to": "UniformBlockApplication", "label": "", "dashed": false, "kind": "recorded" }, { "from": "UniformBlockReduction", "to": "UniformBlockApplication", "label": "", "dashed": false, "kind": "recorded" }, { "from": "PadicRationalLifting", "to": "FiniteKernelValueTransfer", "label": "", "dashed": false, "kind": "recorded" }, { "from": "FiniteKernelValueTransfer", "to": "UniformBlockApplication", "label": "", "dashed": false, "kind": "recorded" }, { "from": "FiniteKernelValueTransfer", "to": "BoundedDiscrepancyApplication", "label": "", "dashed": false, "kind": "recorded" }, { "from": "PadicRationalLifting", "to": "PolynomialSystemTransfer", "label": "", "dashed": false, "kind": "recorded" }, { "from": "PolynomialSystemTransfer", "to": "FiniteExponentOrbit", "label": "", "dashed": false, "kind": "recorded" }, { "from": "PolynomialSystemTransfer", "to": "PrefixQuotientCriterion", "label": "", "dashed": false, "kind": "recorded" }, { "from": "FiniteExponentOrbit", "to": "PrefixQuotientCriterion", "label": "", "dashed": false, "kind": "recorded" }, { "from": "PrefixQuotientCriterion", "to": "PrefixQuotientCertificate", "label": "", "dashed": false, "kind": "recorded" }, { "from": "PrefixQuotientCertificate", "to": "LogGrowthPowerBound", "label": "", "dashed": false, "kind": "recorded" }, { "from": "LogGrowthPowerBound", "to": "LogGrowthQuotient", "label": "требуется новый переход", "dashed": true, "kind": "recorded" }, { "from": "LogGrowthPowerBound", "to": "LogDiscrepancyState", "label": "", "dashed": false, "kind": "recorded" }, { "from": "LogDiscrepancyState", "to": "SingleLogDiscrepancy", "label": "", "dashed": false, "kind": "recorded" }, { "from": "SingleLogDiscrepancy", "to": "LogDiscrepancyPeriodicity", "label": "", "dashed": false, "kind": "recorded" }, { "from": "LogDiscrepancyPeriodicity", "to": "AutomaticUniformFrequency", "label": "", "dashed": false, "kind": "recorded" }, { "from": "AutomaticUniformFrequency", "to": "BeyondLogTransfer", "label": "", "dashed": false, "kind": "recorded" }, { "from": "AutomaticUniformFrequency", "to": "MultivariateAutomaticSystem", "label": "", "dashed": false, "kind": "recorded" }, { "from": "MultivariateAutomaticSystem", "to": "MultivariateLocalBound", "label": "", "dashed": false, "kind": "recorded" }, { "from": "MultivariateLocalBound", "to": "BeyondLogTransfer", "label": "", "dashed": false, "kind": "recorded" }, { "from": "AlgebraicBranchBoundary", "to": "BeyondLogTransfer", "label": "алгебраического уравнения недостаточно", "dashed": true, "kind": "recorded" }, { "from": "MultivariateAutomaticSystem", "to": "MonomialProgressionCriterion", "label": "зависимости орбиты", "dashed": true, "kind": "recorded" }, { "from": "MonomialProgressionCriterion", "to": "ToricOrbitClosure", "label": "", "dashed": false, "kind": "recorded" }, { "from": "ToricOrbitClosure", "to": "HomogeneousNonvanishing", "label": "переход к росткам", "dashed": true, "kind": "recorded" }, { "from": "HomogeneousNonvanishing", "to": "BeyondLogTransfer", "label": "остальные условия подъёма", "dashed": true, "kind": "recorded" }, { "from": "ToricOrbitClosure", "to": "NonsingularConeReduction", "label": "редукция матрицы", "dashed": true, "kind": "recorded" }, { "from": "NonsingularConeReduction", "to": "RationalOrbitNorms", "label": "точечные оценки", "dashed": true, "kind": "recorded" }, { "from": "RationalOrbitNorms", "to": "AccumulatingPoles", "label": "граница фиксированного диска", "dashed": true, "kind": "recorded" }, { "from": "RationalOrbitNorms", "to": "ShrinkingPolydisks", "label": "нижняя оценка знаменателя", "dashed": true, "kind": "recorded" }, { "from": "AccumulatingPoles", "to": 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"label": "", "dashed": false, "kind": "recorded" }, { "from": "PerronPadicEstimate", "to": "WeightedLocalZero", "label": "", "dashed": false, "kind": "recorded" }, { "from": "WeightedConeAuxiliary", "to": "WeightedLocalZero", "label": "", "dashed": false, "kind": "recorded" }, { "from": "NonuniformPrimitiveSystem", "to": "WeightedLocalZero", "label": "", "dashed": false, "kind": "recorded" }, { "from": "WeightedLocalZero", "to": "WeightedRationalLifting", "label": "", "dashed": false, "kind": "recorded" }, { "from": "WeightedFieldRegularity", "to": "WeightedRationalLifting", "label": "", "dashed": false, "kind": "recorded" }, { "from": "WeightedRationalLifting", "to": "PrimitiveCodedPeriodic", "label": "", "dashed": false, "kind": "recorded" }, { "from": "NonuniformPrimitiveSystem", "to": "PrimitiveCodedPeriodic", "label": "", "dashed": false, "kind": "recorded" }, { "from": "PrimitiveCodedPeriodic", "to": "PrimitiveBlockCodes", "label": "", "dashed": false, "kind": "recorded" }, { 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"to": "CommonScaleLifting", "label": "", "dashed": false, "kind": "recorded" }, { "from": "CommonScaleLifting", "to": "CommonGrowthRational", "label": "", "dashed": false, "kind": "recorded" }, { "from": "DiscountedMorphicDensity", "to": "CommonGrowthRational", "label": "", "dashed": false, "kind": "recorded" }, { "from": "GrowingNonprimitiveGeometry", "to": "IndividualGrowthTypes", "label": "", "dashed": false, "kind": "recorded" }, { "from": "IndividualGrowthTypes", "to": "MultiscaleDensity", "label": "", "dashed": false, "kind": "recorded" }, { "from": "DiscountedMorphicDensity", "to": "MultiscaleDensity", "label": "", "dashed": false, "kind": "recorded" }, { "from": "MultiscaleDensity", "to": "NonerasingDensity", "label": "", "dashed": false, "kind": "recorded" }, { "from": "NonerasingDensity", "to": "GeneralMorphicDensity", "label": "", "dashed": false, "kind": "recorded" }, { "from": "IndividualGrowthTypes", "to": "FastFaceGrading", "label": "", "dashed": false, "kind": 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"BoundedLetterSystem", "to": "BoundedLetterFastData", "label": "", "dashed": false, "kind": "recorded" }, { "from": "BoundedLetterFastData", "to": "BoundedLetterLocal", "label": "", "dashed": false, "kind": "recorded" }, { "from": "BoundedLetterLocal", "to": "BoundedLetterJoin", "label": "", "dashed": false, "kind": "recorded" }, { "from": "BoundedLetterJoin", "to": "BoundedLetterBasisValues", "label": "", "dashed": false, "kind": "recorded" }, { "from": "BoundedLetterBasisValues", "to": "BoundedLetterRationalCodes", "label": "", "dashed": false, "kind": "recorded" }, { "from": "PolynomialLetterBarrier", "to": "ExactWordMatrixHeight", "label": "отдельная числовая высота", "dashed": true, "kind": "recorded" }, { "from": "PolynomialLetterBarrier", "to": "QScalingFiniteCover", "label": "отдельный одномерный обход", "dashed": true, "kind": "recorded" }, { "from": "QScalingFiniteCover", "to": "TorusPeriodicDivisor", "label": "самостоятельная геометрическая лемма", "dashed": true, "kind": 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"MultilinearArithmeticThreshold", "to": "MultilinearFullThresholdBoundary", "label": "", "dashed": false, "kind": "recorded" }, { "from": "MultilinearFullThresholdBoundary", "to": "OtherQPrimaryScope", "label": "", "dashed": false, "kind": "recorded" }, { "from": "OtherQPrimaryScope", "to": "PolynomialNumericTransferOpen", "label": "область источников", "dashed": true, "kind": "recorded" }, { "from": "MultilinearFullThresholdBoundary", "to": "ThetaPadeVandermonde", "label": "", "dashed": false, "kind": "recorded" }, { "from": "ThetaPadeVandermonde", "to": "ThetaPadeCommonHeight", "label": "", "dashed": false, "kind": "recorded" }, { "from": "ThetaPadeCommonHeight", "to": "ThetaPadeGaussianHeight", "label": "", "dashed": false, "kind": "recorded" }, { "from": "ThetaPadeGaussianHeight", "to": "ThetaPadeOnePairDivisor", "label": "", "dashed": false, "kind": "recorded" }, { "from": "ThetaPadeOnePairDivisor", "to": "ThetaPadeType2Open", "label": "", "dashed": false, "kind": "recorded" }, { "from": "ThetaPadeType2Open", "to": "ThetaPadeType2Integral", "label": "", "dashed": false, "kind": "recorded" }, { "from": "ThetaPadeType2Integral", "to": "ThetaPadeType2Projective", "label": "", "dashed": false, "kind": "recorded" }, { "from": "ThetaPadeType2Projective", "to": "ThetaScalarHankel", "label": "", "dashed": false, "kind": "recorded" }, { "from": "ThetaScalarHankel", "to": "ThetaScalarShift", "label": "", "dashed": false, "kind": "recorded" }, { "from": "ThetaScalarShift", "to": "ThetaScalarMinorGcd", "label": "", "dashed": false, "kind": "recorded" }, { "from": "ThetaScalarMinorGcd", "to": "ThetaCyclotomicMinorDivisor", "label": "", "dashed": false, "kind": "recorded" }, { "from": "ThetaCyclotomicMinorDivisor", "to": "ThetaSpecialCyclotomic", "label": "", "dashed": false, "kind": "recorded" }, { "from": "ThetaSpecialCyclotomic", "to": "ThetaRootRank", "label": "", "dashed": false, "kind": "recorded" }, { "from": "ThetaRootRank", "to": "ThetaSummedMultiplicity", "label": "", "dashed": false, "kind": "recorded" }, { "from": "ThetaSummedMultiplicity", "to": "ThetaScalarDenominatorOpen", "label": "числовой НОД не оценён", "dashed": true, "kind": "recorded" }, { "from": "ThetaSummedMultiplicity", "to": "ThetaThreeLayerMultiplicity", "label": "", "dashed": false, "kind": "recorded" }, { "from": "ThetaThreeLayerMultiplicity", "to": "ThetaScalarDenominatorOpen", "label": "числовой НОД остаётся открытым", "dashed": true, "kind": "recorded" }, { "from": "ThetaThreeLayerMultiplicity", "to": "ThetaOddOrderGcd", "label": "", "dashed": false, "kind": "recorded" }, { "from": "ThetaOddOrderGcd", "to": "ThetaScalarDenominatorOpen", "label": "требуется числовая оценка", "dashed": true, "kind": "recorded" }, { "from": "ThetaOddOrderGcd", "to": "ThetaOverlapGcdScope", "label": "", "dashed": false, "kind": "recorded" }, { "from": "ThetaOverlapGcdScope", "to": "ThetaScalarDenominatorOpen", "label": "полный числовой НОД не оценён", "dashed": true, "kind": "recorded" }, { "from": "ThetaRootRank", "to": "ThetaWeightCancellation", "label": "", "dashed": false, "kind": "recorded" }, { "from": "ThetaOverlapGcdScope", "to": "ThetaWeightCancellation", "label": "", "dashed": false, "kind": "recorded" }, { "from": "ThetaWeightCancellation", "to": "ThetaPrimeSquare", "label": "", "dashed": false, "kind": "recorded" }, { "from": "ThetaWeightCancellation", "to": "ThetaScalarDenominatorOpen", "label": "общий рост не доказан", "dashed": true, "kind": "recorded" }, { "from": "ThetaPrimeSquare", "to": "ThetaScalarDenominatorOpen", "label": "общий рост не установлен", "dashed": true, "kind": "recorded" }, { "from": "ThetaWeightCancellation", "to": "ThetaRankIncrement", "label": "", "dashed": false, "kind": "recorded" }, { "from": "ThetaSpecialCyclotomic", "to": "ThetaRankIncrement", "label": "", "dashed": false, "kind": "recorded" }, { "from": "ThetaRankIncrement", "to": "ThetaScalarDenominatorOpen", "label": "глубины НОД не ограничены", "dashed": true, "kind": "recorded" }, { "from": "ThetaRankIncrement", "to": "ThetaSpectralCertificate", "label": "", "dashed": false, "kind": "recorded" }, { "from": "ThetaOverlapGcdScope", "to": "ThetaSpectralCertificate", "label": "", "dashed": false, "kind": "recorded" }, { "from": "ThetaSpectralCertificate", "to": "ThetaScalarDenominatorOpen", "label": "глубины и короткие окна открыты", "dashed": true, "kind": "recorded" }, { "from": "ThetaSpectralCertificate", "to": "ThetaFiniteWindow", "label": "", "dashed": false, "kind": "recorded" }, { "from": "ThetaFiniteWindow", "to": "ThetaScalarDenominatorOpen", "label": "сдвиг отличается от критерия D", "dashed": true, "kind": "recorded" }, { "from": "ThetaSpecialCyclotomic", "to": "ThetaPadicWindowDescent", "label": "", "dashed": false, "kind": "recorded" }, { "from": "ThetaSummedMultiplicity", "to": "ThetaPadicWindowDescent", "label": "", "dashed": false, "kind": "recorded" }, { "from": "ThetaFiniteWindow", "to": "ThetaPadicWindowDescent", "label": "", "dashed": false, "kind": "recorded" }, { "from": "ThetaPadicWindowDescent", "to": "ThetaScalarDenominatorOpen", "label": "остальные простые открыты", "dashed": true, "kind": "recorded" }, { "from": "ThetaPadicWindowDescent", "to": "ThetaDiagonalResidue", "label": "", "dashed": false, "kind": "recorded" }, { "from": "ThetaDiagonalResidue", "to": "ThetaScalarDenominatorOpen", "label": "прочие остатки и простые открыты", "dashed": true, "kind": "recorded" }, { "from": "ThetaPadicWindowDescent", "to": "ThetaExcessPeriodicity", "label": "", "dashed": false, "kind": "recorded" }, { "from": "ThetaExcessPeriodicity", "to": "ThetaScalarDenominatorOpen", "label": "не полная глубина и не все простые", "dashed": true, "kind": "recorded" }, { "from": "ThetaPadicWindowDescent", "to": "ThetaDualOrderFour", "label": "", "dashed": false, "kind": "recorded" }, { "from": "ThetaDiagonalResidue", "to": "ThetaDualOrderFour", "label": "", "dashed": false, "kind": "recorded" }, { "from": "ThetaDualOrderFour", 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true, "kind": "recorded" }, { "from": "AutomaticBanachDensity", "to": "JointWindowDrift", "label": "", "dashed": false, "kind": "recorded" }, { "from": "AutomaticOriginKnown", "to": "JointValueSelection", "label": "сходимость не выбирает значение", "dashed": true, "kind": "recorded" }, { "from": "PeriodicPatchBoundary", "to": "OtherCodes", "label": "наличие длинных участков не доказано", "dashed": true, "kind": "recorded" }, { "from": "JointRealPadicM21", "to": "JointValueSelection", "label": "какое из двух значений", "dashed": true, "kind": "recorded" }, { "from": "JointValueSelection", "to": "OtherCodes", "label": "всеобщий охват также не доказан", "dashed": true, "kind": "recorded" }, { "from": "PeriodicCycles", "to": "FixedOddCycleBoundary", "label": "", "dashed": false, "kind": "recorded" }, { "from": "PeriodicCycles", "to": "CyclePrimitiveCertificate", "label": "", "dashed": false, "kind": "recorded" }, { "from": "CyclePrimitiveCertificate", "to": "AllPositiveCycles", "label": "остаётся классифицировать делимые слова", "dashed": true, "kind": "recorded" }, { "from": "FixedOddCycleBoundary", "to": "AllPositiveCycles", "label": "общей границы r нет", "dashed": true, "kind": "recorded" }, { "from": "SubspaceM20", "to": "FrequencyFreeSubspace", "label": "", "dashed": false, "kind": "recorded" }, { "from": "FrequencyFreeSubspace", "to": "PrimitiveHeightSubspace", "label": "", "dashed": false, "kind": "recorded" }, { "from": "FrequencyFreeSubspace", "to": "LongConstantRuns", "label": "", "dashed": false, "kind": "recorded" }, { "from": "LongConstantRuns", "to": "RationalRunBoundary", "label": "граница значимости", "dashed": true, "kind": "recorded" }, { "from": "LongConstantRuns", "to": "OtherCodes", "label": "всеобщий охват орбит не следует", "dashed": true, "kind": "recorded" }, { "from": "PrimitiveHeightSubspace", "to": "RationalHeightLower", "label": "", "dashed": false, "kind": "recorded" }, { "from": "PrimitiveHeightSubspace", "to": "OtherCodes", "label": "независимая всеобщая верхняя граница не получена", "dashed": true, "kind": "recorded" }, { "from": "SubspaceM20", "to": "ComplexityBoundary", "label": "ограничение одного следствия", "dashed": true, "kind": "recorded" }, { "from": "FrequencyFree", "to": "FrequencyFreeSubspace", "label": "", "dashed": false, "kind": "recorded" }, { "from": "SubspaceM20", "to": "OddAffineSubspace", "label": "", "dashed": false, "kind": "recorded" }, { "from": "SubspaceM20", "to": "SparsePowerCode", "label": "", "dashed": false, "kind": "recorded" }, { "from": "FrequencyFreeSubspace", "to": "OtherCodes", "label": "всеобщая маржа не установлена", "dashed": true, "kind": "recorded" }, { "from": "FrequencyGrowth", "to": "SubspaceM20", "label": "", "dashed": false, "kind": "recorded" }, { "from": "SubspaceM20", "to": "ThreeTranscendence", "label": "", "dashed": false, "kind": "recorded" }, { "from": "ThreeComplexity", "to": "ThreeTranscendence", "label": "", "dashed": false, "kind": "recorded" }, { "from": "ThreeIrrational", "to": "ThreeTranscendence", "label": "усилено другим аргументом", "dashed": true, "kind": "recorded" }, { "from": "SubspaceM20", "to": "DigitalTranscendence", "label": "", "dashed": false, "kind": "recorded" }, { "from": "AllBasePhase", "to": "DigitalTranscendence", "label": "", "dashed": false, "kind": "recorded" }, { "from": "PrefixSquares", "to": "DigitalTranscendence", "label": "", "dashed": false, "kind": "recorded" }, { "from": "SubspaceM20", "to": "OtherCodes", "label": "наличие нужных повторов и маржи у всех орбит не доказано", "dashed": true, "kind": "recorded" }, { "from": "DigitalTranscendence", "to": "AllPositiveCycles", "label": "периодическая ветвь не исключена", "dashed": true, "kind": "recorded" }, { "from": "ThreeIrrational", "to": "OtherCodes", "label": "остальные коды не охвачены", "dashed": true, "kind": "recorded" }, { "from": "AlgebraicValues", "to": "OtherCodes", "label": "произвольные плохие коды не охвачены", "dashed": true, "kind": "recorded" }, { "from": "KnownComplexity", "to": "QuasiSturmian", "label": "", "dashed": false, "kind": "recorded" }, { "from": "QuasiSturmian", "to": "OtherCodes", "label": "прочие непериодические коды", "dashed": true, "kind": "recorded" }, { "from": "MechanicalRepresentation", "to": "OtherCodes", "label": "остальные коды", "dashed": true, "kind": "recorded" }, { "from": "UnboundedCF", "to": "OtherCodes", "label": "произвольная плохая орбита", "dashed": true, "kind": "recorded" }, { "from": "VariableMatrix", "to": "OtherCodes", "label": "остальные коды не охвачены", "dashed": true, "kind": "recorded" }, { "from": "CompactTower", "to": "OtherCodes", "label": "остальные коды не охвачены", "dashed": true, "kind": "recorded" }, { "to": "LitTaoMixing", "label": "Method within Tao’s paper", "dashed": false, "kind": "paper", "from": "LitTaoRenewal" }, { "to": "LitTaoPassage", "label": "Method within Tao’s paper", "dashed": false, "kind": "paper", "from": "LitTaoMixing" }, { "to": "LitTao", "label": "Reduction within Tao’s paper", "dashed": false, "kind": "paper", "from": "LitTaoPassage" }, { "to": "Full", "label": "An exceptional set remains", "dashed": true, "kind": "scope", "from": "LitTao" }, { "to": "LitTao", "label": "Historical predecessor; not a direct proof implication", "dashed": true, "kind": "context", "from": "LitTerras" }, { "to": "LitTao", "label": "Historical predecessor; not a direct proof implication", "dashed": true, "kind": "context", "from": "LitEverett" }, { "to": "OtherCodes", "label": "Structural background; not universal convergence", "dashed": true, "kind": "context", "from": "LitConjugacy" }, { "to": "LitConjugacy", "label": "Historical and structural context", "dashed": true, "kind": "context", "from": "LitLagarias" }, { "to": "LocalExponentOne", "label": "Further draft core reduction", "dashed": true, "kind": "draft", "from": "LocalWeightedFibers" }, { "to": "MultiplicativeDefectFiniteOpen", "label": "Finiteness is still required", "dashed": true, "kind": "scope", "from": "LocalWeightedFibers" }, { "to": "MultiplicativeDefectFiniteOpen", "label": "Finiteness is still required", "dashed": true, "kind": "scope", "from": "LocalExponentOne" } ], "archiveCount": 618, "literatureCount": 8, "draftCount": 2, "date": "19 September 2026", "authors": [ "Khamit Kadyrbekov", "Daniyal Kadirbekov" ], "scope": "An illustrative navigation atlas, not a protein prediction or a formally verified proof graph. Ribbon geometry and node counts do not measure contribution, importance, confidence or progress." }