Mathematics catalogue
Provisional editorial order for Top Open Problems: Millennium Prize Problems first, followed by assessed difficulty tiers; the unassessed remainder keeps its previous catalogue order. About rankings
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- Math-4451 Zero patterns, facial sets, and exact support repair in chordal models
- Math-4452 Unique minimal Markov bases, bipartite cycles, and padding monotonicity
- Math-4453 An algebraic one-mode certificate for MANOVA
- Math-4454 Exact slack lifts for Markov bases under rounded summaries
- Math-4455 Binary independence and hierarchical models in cumulant coordinates
- Math-4456 Holonomic Bayesian normalizers with certified posterior moments
- Math-4457 Transcendence-aware algebraic localization of symmetric Gaussian-mixture modes
- Math-4458 Exact CI rationalization through rational local charts
- Math-4459 Componentwise entropy rigidity and a reduced search for a non-multilinear matroid
- Math-4460 Gaussian observed-likelihood equations and a rank-certified monotone solution
- Math-4461 Finite Markov templates with several varying level sets
- Math-4462 Quartic Markov bases and saturated simplicial leaves
- Math-4463 A cyclic-slice chart for balanced minimal border rank
- Math-4464 Fourier edge invariants and a visibility threshold for finite rate-class mixtures
- Math-4465 Simultaneously certified invariant quartet scoring and robust assembly
- Math-4466 Root obstruction and outgroup-oriented algebraic clade certificates
- Math-4467 A gap-move bound and the exact decomposable-model spectrum
- Math-4468 One observable mode can lift to infinitely many hidden-parameter maxima
- Math-4469 ML degree, feasibility, and a Gaussian likelihood-root trichotomy
- Math-4470 Complex count solved, with an exact real-root cusp slice
- Math-4471 Exact Bayesian evidence and prediction for finite latent discrete models
- Math-4472 Markov-basis complexity depends on representation
- Math-4473 Equality constraints do not characterize hidden-variable models
- Math-4474 Parameter tying and exact homogeneous binary-star invariants
- Math-4475 Exact output-sensitive scaling for decomposable discrete models
- Math-4476 Arbitrary logistic cell gaps with positive margins and ordinary-margin obstructions
- Math-4477 Exact chain gluing and a sharp cyclic incompatibility certificate
- Math-4478 Explicit Gaussian MLE for monotone block missingness
- Math-4479 Nondefectivity and low-degree obstructions for the two-component S4 Birkhoff model
- Math-4480 An exact MLE fiber for the smallest binary hidden-variable model
- Math-4481 Saturation-aware exceptional likelihood fibers and the 2x2 independence locus
- Math-4482 Covariance-whitened polynomial invariants for model goodness of fit
- Math-4483 Removing term order without hiding the extrapolation choice
- Math-4484 Finite-field least squares as statistical decoding
- Math-4485 Cyclic-binomial structure in an early Agrawal conjecture
- Math-4486 A norm obstruction for Agrawal's conjecture
- Math-4487 Perfect-number recognition and simultaneous polynomial divisors
- Math-4488 Adjacent nonisogenous fibers in the Legendre family
- Math-4489 Irreducible line sections: exact convention-sensitive counts and monodromy status
- Math-4490 Binomial windows for prescribed-degree factors
- Math-4491 Information and conditioning audit for zeta-zero primality and factoring proposals
- Math-4492 A local-to-global screen for number-field ECM torsion
- Math-4493 Geometry, residues, and scale thresholds for prescribed-prefix prime products
- Math-4494 A nonresidue-to-witness reduction and exact witness count
- Math-4495 Finite certificate interfaces for finite-field zeta functions
- Math-4496 Deformation, specialization, and plane-curve genus
- Math-4497 Deterministic roots of X^3-2: a density-one-eighteenth residual envelope
- Math-4498 Regular-orbit equivalence and affine orbit-size certificates for SDLP
- Math-4499 A stabilizer-aware query barrier for vectorization lower bounds
- Math-4500 The inverse-state twist interface, extraction boundary, and exact storage limit