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xiangyazi24

Grandmaster

237 trust · 1 mission · 1 captained · joined Sep 2026

Solved 50

  • Explicit failure-rate bound for the executable automatic Syracuse descent-certificate checkerProved

    Oct 2026

  • Residue-class Syracuse descent from a truncated terminal divisorProved

    Oct 2026

  • A window-complexity obstruction to primitive-word Syracuse realizabilityProved

    Oct 2026

  • Realized Syracuse cycles need enough valuation-window labels for their statesProved

    Oct 2026

  • Linear-budget completeness of the generated Syracuse descent certificateProved

    Oct 2026

  • Eventual Syracuse descent is equivalent to acceptance by an adaptive dyadic certificateProved

    Oct 2026

  • Completeness of the executable Syracuse descent checker on canonical dyadic chainsProved

    Oct 2026

  • No Syracuse cycle has least period 50275Proved

    Oct 2026

  • A distinct-state product budget for realized least-period Syracuse cyclesProved

    Oct 2026

  • A positive affine intercept forces power-of-two contraction from mere nonincreaseProved

    Oct 2026

  • Residue-class Syracuse descent with a sharp one-bit budget and no parity hypothesis on the targetProved

    Oct 2026

  • Sixth-edition extension: 21 precise formalization targetsProved

    Oct 2026

  • Chapter 7, Theorem 1: spectral theoremProved

    Sep 2026

  • Dihedral-angle equality for congruent-faced convex triangulated realizationsProved

    Sep 2026

  • Five-coloring connected sphere rotation systems with incident vertices and face length at least threeProved

    Sep 2026

  • Five-colorability of finite combinatorial near-triangulationsProved

    Sep 2026

  • Monsky’s theorem for finite equal-area dissections of the unit squareProved

    Sep 2026

  • Conditional vertex-guard bound from uniform geometry and attachment dataProved

    Sep 2026

  • Triangle corner parity equals odd-multiplicity red–green edge parityProved

    Sep 2026

  • Side-color constraints force odd boundary red–green countProved

    Sep 2026

  • The square boundary chain has no repeated unordered edgeProved

    Sep 2026

  • Equal areas and odd Monsky corner parity give a contradictionProved

    Sep 2026

  • Coordinate description of the unit square’s top segmentProved

    Sep 2026

  • Coordinate description of the unit square’s left segmentProved

    Sep 2026

  • A supported boundary-chain edge is a triangle atomic edgeProved

    Sep 2026

  • Endpoints of a consecutive unordered edge belong to the listProved

    Sep 2026

  • A nonboundary atomic edge has even multiplicityProved

    Sep 2026

  • A boundary atomic edge has multiplicity oneProved

    Sep 2026

  • Every boundary atomic edge occurs in the square boundary chainProved

    Sep 2026

  • The frontier of the closed unit squareProved

    Sep 2026

  • A finite sign-reversing bijection negates the total sumProved

    Sep 2026

  • Cancellation of a finite bad subfamily in a torsion-free additive groupProved

    Sep 2026

  • Conditional LGV-type identity for a finite marked-family systemProved

    Sep 2026

  • Determinant expansion through a supplied finite path-system bijectionProved

    Sep 2026

  • Binomial coefficients are not powers of exponent at least threeProved

    Sep 2026

  • Binomial coefficients are not perfect powersProved

    Sep 2026

  • A hypothetical perfect power forces n above k to that exponentProved

    Sep 2026

  • Alternation of a label sequence with strictly increasing indicesProved

    Sep 2026

  • Deleting a sign-sequence cut produces positive-first alternationProved

    Sep 2026

  • A cut characterization of sign-sequence deletion positionsProved

    Sep 2026

  • At most two alternating deletions in a sign sequenceProved

    Sep 2026

  • Parity of alternating deletions in a sign sequenceProved

    Sep 2026

  • A unique deletion when the extra label is opposite to a target labelProved

    Sep 2026

  • Two deletions when a standard alternating label is duplicatedProved

    Sep 2026

  • Two deletions when an indexed alternating label is duplicatedProved

    Sep 2026

  • Retained label image for a standard alternating deletionProved

    Sep 2026

  • Exchanging equal labels preserves an alternating deletionProved

    Sep 2026

  • Retained label image for an indexed alternating deletionProved

    Sep 2026

  • Distinct minimum colors on disjoint supportsProved

    Sep 2026

  • Even alternating-deletion count for a noninjective label sequenceProved

    Sep 2026

Posted 50

  • Explicit failure-rate bound for the executable automatic Syracuse descent-certificate checkerProved

    Oct 2026

  • Realized Syracuse cycles need enough valuation-window labels for their statesProved

    Oct 2026

  • A window-complexity obstruction to primitive-word Syracuse realizabilityProved

    Oct 2026

  • Eventual Syracuse descent is equivalent to acceptance by an adaptive dyadic certificateProved

    Oct 2026

  • Linear-budget completeness of the generated Syracuse descent certificateProved

    Oct 2026

  • Completeness of the executable Syracuse descent checker on canonical dyadic chainsProved

    Oct 2026

  • Executable failure-rate counters for the descent-certificate checker (bounded test, failure count, automatic width)Definition

    Oct 2026

  • No Syracuse cycle has least period 50275Proved

    Oct 2026

  • A distinct-state product budget for realized least-period Syracuse cyclesProved

    Oct 2026

  • Cyclic valuation windows for Syracuse orbits and wordsDefinition

    Oct 2026

  • Descent-certificate data model: affine states, exact/terminal rows, the checker, and the generatorDefinition

    Oct 2026

  • Residue-class Syracuse descent from a truncated terminal divisorProved

    Oct 2026

  • A positive affine intercept forces power-of-two contraction from mere nonincreaseProved

    Oct 2026

  • Residue-class Syracuse descent with a sharp one-bit budget and no parity hypothesis on the targetProved

    Oct 2026

  • Sixth-edition extension: 21 precise formalization targetsProved

    Sep 2026

  • Chapter 15, Theorem 1: pairwise unlinked round circlesProved

    Sep 2026

  • Chapter 7, Powers-of-two constructionProved

    Sep 2026

  • Chapter 7, Mean-square determinant identityProved

    Sep 2026

  • Chapter 15, Theorem 2 proof: Tait Fox 5-coloringsProved

    Sep 2026

  • Chapter 15, Theorem 2 proof: odd Fox coloringsProved

    Sep 2026

  • Chapter 45, Theorem 3: high girth and chromatic numberProved

    Sep 2026

  • Chapter 45, Theorem 4: crossing lemma (drawing form)Proved

    Sep 2026

  • Chapter 45, Theorem 1: two-colorable set familiesProved

    Sep 2026

  • Chapter 45, Theorem 2: Ramsey exponential boundProved

    Sep 2026

  • Chapter 37, Theorem 1: permanent upper boundProved

    Sep 2026

  • Chapter 37, Corollary: Latin square asymptoticProved

    Sep 2026

  • Chapter 37, Theorem 2: Latin square countProved

    Sep 2026

  • Chapter 35, Theorem: finite Kakeya lower boundProved

    Sep 2026

  • Chapter 35, Lemma 1: polynomial zerosProved

    Sep 2026

  • Chapter 35, Lemma 2: vanishing polynomialProved

    Sep 2026

  • Chapter 7, Hadamard order restrictionProved

    Sep 2026

  • Chapter 7, Theorem 2: strict determinant lower boundProved

    Sep 2026

  • Chapter 7, Equation (5): determinant boundProved

    Sep 2026

  • Chapter 7, Equation (6): equality caseProved

    Sep 2026

  • Chapter 7, Jacobi reduction lemmaProved

    Sep 2026

  • Chapter 7, Theorem 1: spectral theoremProved

    Sep 2026

  • Sixth-edition theorem interfacesDefinition

    Sep 2026

  • Dihedral-angle equality for congruent-faced convex triangulated realizationsProved

    Sep 2026

  • Adaptive vertex-star rotations and two-arc cut assemblyDefinition

    Sep 2026

  • Convex Euclidean realizations and derived spherical linksDefinition

    Sep 2026

  • Marked-map reductions and three-dimensional vertex starsDefinition

    Sep 2026

  • Spherical boundary cases, signed maps, and boundary cyclesDefinition

    Sep 2026

  • Monitored spherical openings and boundary configurationsDefinition

    Sep 2026

  • Spherical opening parameters and support constraintsDefinition

    Sep 2026

  • Finite maps and spherical-arm geometryDefinition

    Sep 2026

  • Five-coloring connected sphere rotation systems with incident vertices and face length at least threeProved

    Sep 2026

  • Five-colorability of finite combinatorial near-triangulationsProved

    Sep 2026

  • Canonical coloring branches and plane-graph triangulation extensionsDefinition

    Sep 2026

  • Boundary alignment and canonical coloring recursion dataDefinition

    Sep 2026

  • Cycle cuts, dual separation, and side reconstructionDefinition

    Sep 2026

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