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Coupling-Robust Accuracy in Multiphysics Physics Informed Neural Networks via Kronecker-Preconditioned Optimization Weisfeiler-Leman Is Incomplete on Simple Spectrum Graphs, so Canonicalize Them Non-normal spectral signatures of instability in neural network training dynamics Optimization of randomized neural networks for transfer operator approximation Selective Ambulance Dispatch Under Contextual Travel-Time Uncertainty LLAMA LIMA: A Living Meta-Analysis on the Effects of Generative AI on Learning Mathematics Learning Decision-Sufficient Representations for Linear Optimization Parameterized Complexity of Stationarity Testing for Piecewise-Affine Functions and Shallow CNN Losses Every Minimal Counterexample to the Erdős-Gyárfás Conjecture is Predominantly Cubic Prabhakar function and unified fractional kinetic equation in bicomplex space Every signed planar graph is $5$-choosable: A short proof and refinements A Comprehensive Study of Clique Graphs and Clique Regular Graphs Computing Gamma(p/q) with Beta function values Flows on Graded Manifolds Optimal embedding dimension in the Nash--Tognoli theorem Generalized Stochastic Approximation of the Log-Likelihood Ratio for Robust Sequential Change-Point Detection An optimal first-order method for smooth and strongly convex composite optimization and its stationary limit Sharp Bohr-Type inequalities for certain classes of close-to-convex functions An Axiomatic Theory of Tie-Breaking: Impossibility, Characterization, and Decomposition Invariants of real affine varieties based on their complexifications The Geometry of Cooperative Game Solutions: Stratified Egalitarian Shapley Values Topological symmetric and braid homologies A Formal Graph-Theoretic Framework for Pitch Class Set Analysis Finite groups with high commuting probability for Sylow subgroups Concise and elegant proofs of three formulas for complete Bell polynomials Performance Bounds for Rollout Policies in Stochastic Shortest Path Problems Real 2-blocks in quasi-simple groups Maximal subalgebras of the Lie algebra $W_n(\mathbb{K})$ Cohomogeneity-One Ruled Hypersurfaces in $\mathbb{CP}^2$ and $\mathbb{C}H^2$ Global analysis of the Kuramoto flow Cartier algebras through the lens of $p$-families Positivity in the context of Hodge modules and Higgs bundles on Deligne-Mumford stacks Symplectic lattice counting and zeta functions of higher Heisenberg groups A Complete Spectral Analysis of the CEV Operator with Applications to Arbitrage A secondary pairing between K-theory and K-homology, relative eta invariants, and zeta maps Detecting and Correcting Sample-by-Sample Scale Distortion in RNA Sequencing Data Star-Shaped Integral Cartan-Type Matrices and an Egyptian-Fraction Classification of Affine Weighted Trees The Poisson Tail Conjecture for Primes in Short Intervals Polylogarithmic Full-Chord Buffon Discrepancy Extremum seeking with exponential convergence via high-order Lie bracket approximations Sets of large values of polynomial multi-correlation functions Reflections and Sheafifications in Algebraic and Topological Categories On the final-state problem for the 1D cubic NLS Isotropic Meta Kazhdan-Lusztig Combinatorics II: Isomorphism to the generalised Khovanov arc algebra Discrete Pauli pairs Cullen and Woodall numbers in Padovan and Perrin sequences Lifting Milnor Invariants for 3-Component Links Low-regularity well-posedness for the ZK equation on a half-strip Fundamental Bounds and Efficient Estimation for Dead-Time-Constrained Event Detection, with Application to Single-Photon Lidar Proximal DCA for Fréchet Regression on Riemannian Manifolds with Bounded Curvature A Mountain-Pass Algorithm for Nonlocal Problems with Super-quadratic Nonlinearities Delay-induced dynamics in a nonlinear crime interaction model with periodic forcing Diffusion Fluid Antenna Systems for Resilient ISAC On $3$-dimensional locally standard $T$-pseudomanifolds Symmetry and classification of positive standing waves of nonlinear Hartree type equations Spatial decay and nonlinear smoothing of the generalized Ostrovsky equation Inequalities on a Class of Function Sets Remarks on the relative isoperimetric profile of polygonal domains in $\mathbb{R}^2$ What is the Geometric Langlands Correspondence about? 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The Permanent Rank of a Matrix (Part Three) Note on the Additive Basis Conjecture
Yang Yu · 2025-10-01 · via math updates on arXiv.org

We show that in a vector space over Z_3, the union of any four linear bases is an additive basis, thus proving the Additive Basis Conjecture for Z_3, and providing an alternative proof of the weak 3-flow conjecture.

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