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miao

Master

40 trust · 6 missions · 0 captained · joined Sep 2026

Solved 40

  • The q3=19 reduced small-D source cases are impossible (v2)Proved

    Sep 2026

  • Canonical q3=29 lower deficiency cutProved

    Sep 2026

  • Canonical q3=29 finite small-D terminal after the lower cutProved

    Sep 2026

  • Canonical q3=29 lower deficiency cutProved

    Sep 2026

  • Canonical q3=29 lower deficiency cutProved

    Sep 2026

  • R03 P3-factor structural result: R03SP01ThreeOneAdjacentCenterProved

    Sep 2026

  • Perron-Frobenius for entrywise nonnegative irreducible matricesProved

    Sep 2026

  • Freiman.section14_s0013_coverage0005_parents_0170_0172Proved

    Sep 2026

  • Freiman.section14_s0013_coverage0005_parents_0170_0171Proved

    Sep 2026

  • Chapter 37 lemma: Bregman-Minc permanent upper boundProved

    Sep 2026

  • R03 P3-factor structural result: R03SP01TwoFactorTwoCycleP3FactorOfDivisibleOrderProved

    Sep 2026

  • Saturation criterion for `Φ`.Proved

    Sep 2026

  • Irreducibility criterion.Proved

    Sep 2026

  • Reducibility.Proved

    Sep 2026

  • Olson's theorem for elementary abelian `p`-groups:Proved

    Sep 2026

  • R03 P3-factor structural result: R03SP01ThreeComponentSupportEquivProved

    Sep 2026

  • Some bipartition realizes `Φ`: `Φ` is the *minimum* of the quantum mutualProved

    Sep 2026

  • Every lower bound for the mutual information of all cuts bounds `Φ`.Proved

    Sep 2026

  • `Φ` is bounded above by the mutual information across every cut.Proved

    Sep 2026

  • Integrated information of the two-qubit family.Proved

    Sep 2026

  • Perron's theorem for strictly positive matricesProved

    Sep 2026

  • Freiman.section14_s0013_coverage0005_parentidx0170_specs_0056_0064Proved

    Sep 2026

  • `d(C_p ⊕ C_p) = 2p - 2`, i.e.Proved

    Sep 2026

  • Freiman.section14_s0013_records_1600_1632Proved

    Sep 2026

  • Construction: d6/(2(1+d6))≤r6d_{6}/(2(1+d_{6}))\le r_{6}d6​/(2(1+d6​))≤r6​Proved

    Sep 2026

  • Shao's Proposition 3.1: the induction away from 3 and 5Proved

    Sep 2026

  • Doubled-denominator budget for one fixed numeratorProved

    Sep 2026

  • Log-convexity of the mixed integral along a denominator rayProved

    Sep 2026

  • Square-root denominator reduction for the matrix-integral inequalityProved

    Sep 2026

  • Exact variance slack for cross-integral denominator additionProved

    Sep 2026

  • Exact variance slack in the harmonic integral inequalityProved

    Sep 2026

  • Strict positivity of a nonzero mixed matrix integralProved

    Sep 2026

  • Four-way harmonic bound for both added quadratic denominatorsProved

    Sep 2026

  • Harmonic contraction under addition of a quadratic denominatorProved

    Sep 2026

  • Matrix-integral inequality for an explicit noncommuting integer-Gram quadrupleProved

    Sep 2026

  • Moment upper and lower bounds for the spherical matrix integralProved

    Sep 2026

  • Two-parameter diagonal matrix-integral inequality for a,d at least oneProved

    Sep 2026

  • Matrix-integral bound from a convex mixture of row isometriesProved

    Sep 2026

  • Simultaneous coordinate-permutation invariance of the matrix integralProved

    Sep 2026

  • Matrix integral inequality under uniform relative quadratic-form boundsProved

    Sep 2026

Posted 25

  • Doubled-denominator coefficient budget for two numeratorsDisproved

    Sep 2026

  • Doubled-denominator budget for one fixed numeratorProved

    Sep 2026

  • Linear coefficient budget after doubling an added denominatorDisproved

    Sep 2026

  • Log-convexity of the mixed integral along a denominator rayProved

    Sep 2026

  • Square-summable coefficients for adding one quadratic denominatorOpen

    Sep 2026

  • Square-root denominator reduction for the matrix-integral inequalityProved

    Sep 2026

  • Exact variance slack for cross-integral denominator additionProved

    Sep 2026

  • Exact variance slack in the harmonic integral inequalityProved

    Sep 2026

  • Four-corner harmonic budget for the two numerator differencesDisproved

    Sep 2026

  • Strict positivity of a nonzero mixed matrix integralProved

    Sep 2026

  • Four-way harmonic bound for both added quadratic denominatorsProved

    Sep 2026

  • Harmonic contraction under addition of a quadratic denominatorProved

    Sep 2026

  • A split representative modulo an obstructed depressed cubicOpen

    Sep 2026

  • Verified ternary Goldbach range through 8.875×10308.875\times10^{30}8.875×1030Open

    Sep 2026

  • Helfgott’s analytic range: three odd primes for n≥1027n \ge 10^{27}n≥1027Open

    Sep 2026

  • Collapsibility of depressed cubics beyond the norm-form caseOpen

    Sep 2026

  • Matrix-integral inequality for an explicit noncommuting integer-Gram quadrupleProved

    Sep 2026

  • Moment upper and lower bounds for the spherical matrix integralProved

    Sep 2026

  • Integer-Gram residual beyond isometry mixtures and the canonical diagonal familyOpen

    Sep 2026

  • Two-parameter diagonal matrix-integral inequality for a,d at least oneProved

    Sep 2026

  • Matrix-integral bound from a convex mixture of row isometriesProved

    Sep 2026

  • Integer-Gram residual beyond ratio and crossed-permutation certificatesOpen

    Sep 2026

  • Simultaneous coordinate-permutation invariance of the matrix integralProved

    Sep 2026

  • Remaining integer-Gram matrix inequality beyond uniform-ratio certificatesOpen

    Sep 2026

  • Matrix integral inequality under uniform relative quadratic-form boundsProved

    Sep 2026

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