Results 1 to 10 of about 440,549 (202)
Affine invariant conditions for a class of differential polynomial cubic systems
Acta et Commentationes: Ştiinţe Exacte şi ale NaturiiIn this article the affine invariant criteria constructed in terms of algebraic polynomials with coefficients $\tilde a \in \mathcal R^{20}$ for a class of cubic systems are established.
Cristina Bujac
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Polynomial Invariants for Affine Programs [PDF]
Proceedings of the 33rd Annual ACM/IEEE Symposium on Logic in Computer Science, 2018 We exhibit an algorithm to compute the strongest polynomial (or algebraic) invariants that hold at each location of a given affine program (i.e., a program having only non-deterministic (as opposed to conditional) branching and all of whose assignments are given by affine expressions). Our main tool is an algebraic result of independent interest: given
Ehud Hrushovski +3 more
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Skew RSK dynamics: Greene invariants, affine crystals and applications toq-Whittaker polynomials
Forum of Mathematics, Pi, 2023 AbstractIterating the skew RSK correspondence discovered by Sagan and Stanley in the late 1980s, we define deterministic dynamics on the space of pairs of skew Young tableaux$(P,Q)$. We find that these skew RSK dynamics display conservation laws which, in the picture of Viennot’s shadow line construction, identify generalizations of Greene invariants ...
Imamura, Takashi +2 more
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A Simple Affine-Invariant Spline Interpolation over Triangular Meshes
Mathematics, 2022 Given a triangular mesh, we obtain an orthogonality-free analogue of the classical local Zlámal–Ženišek spline procedure with simple explicit affine-invariant formulas in terms of the normalized barycentric coordinates of the mesh triangles.
László L. Stachó
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AN AFFINE INDEX POLYNOMIAL INVARIANT OF VIRTUAL KNOTS [PDF]
Journal of Knot Theory and Its Ramifications, 2013 This paper describes a polynomial invariant of virtual knots that is defined in terms of an integer labeling of the virtual knot diagram. This labeling is seen to derive from an essentially unique structure of affine flat biquandle for flat virtual diagrams.
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An Elementary Construction of Modified Hamiltonians and Modified Measures of 2D Kahan Maps [PDF]
Open Communications in Nonlinear Mathematical PhysicsWe show how to construct in an elementary way the invariant of the KHK discretisation of a cubic Hamiltonian system in two dimensions. That is, we show that this invariant is expressible as the product of the ratios of affine polynomials defining the ...
Giorgio Gubbiotti +2 more
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Electronic Journal of Qualitative Theory of Differential Equations, 2015 In this article we prove a classification theorem (Main theorem) of real planar cubic vector fields which possess two distinct infinite singularities (real or complex) and eight invariant straight lines, including the line at infinity and including ...
Cristina Bujac, Nicolae Vulpe
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Electronic Journal of Qualitative Theory of Differential Equations, 2017 In the article [C. Bujac, J. Llibre, N. Vulpe, Qual. Theory Dyn. Syst. 15(2016), 327–348] for the family of cubic differential systems with the maximum number of invariant straight lines, i.e.
Cristina Bujac, Nicolae Vulpe
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Image Local Features Description Through Polynomial Approximation
IEEE Access, 2019 This work introduces a novel local patch descriptor that remains invariant under varying conditions of orientation, viewpoint, scale, and illumination.
Fawad +6 more
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An exactly solvable quantum four-body problem associated with the symmetries of an octacube
New Journal of Physics, 2015 In this article, we show that eigenenergies and eigenstates of a system consisting of four one-dimensional hard-core particles with masses 6 m , 2 m , m , and 3 m in a hard-wall box can be found exactly using Bethe Ansatz.
Maxim Olshanii, Steven G Jackson
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