An explicit basis-canonical algorithm refines smooth complete toric fans into projective ones via subdivisions of 2-cones using a wall-arrangement construction and sign-adaptation.
Eddy and Clayton Shonkwiler
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FLASH-MAX embeds exact Maxwell solutions as neurons in a neural network to reconstruct homogeneous EM fields from sparse data with guaranteed zero PDE residual and proven universal approximation on arbitrary domains.
A linear-time algorithm samples confined equilateral polygons via combinatorial sampling of a symplectic moment polytope, yielding explicit distance formulas and a curvature conjecture.
Explicit asymptotic expansions in powers of h ~ n^{-2/3} are derived for the Tracy-Widom distributions F_beta describing the rescaled largest eigenvalues of Gaussian and Laguerre ensembles, with polynomial coefficients in derivatives of F_beta.
Correction terms in soft-edge asymptotics for gap probabilities are multilinear forms in higher derivatives of the leading term, with rational polynomial coefficients independent of the generating variable.
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