Results 41 to 50 of about 524,682 (315)
Binomial Inequalities for Chromatic, Flow, and Tension Polynomials [PDF]
Discrete & Computational Geometry, 2021 9 pages, to appear in Discrete & Computational ...
Matthias Beck, Emerson León
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Factoring peak polynomials [PDF]
Discrete Mathematics & Theoretical Computer Science, 2015 Given a permutation $\pi=\pi_1\pi_2\cdots \pi_n \in S_n$, we say an index $i$ is a peak if $\pi_{i-1} < \pi_i > \pi_{i+1}$. Let $P(\pi)$ denote the set of peaks of $\pi$.
Sara Billey +2 more
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Polynomial Quotient Rings and Kronecker Substitution for Deriving Combinatorial Identities [PDF]
Social Science Research NetworkWe introduce a new approach for generating combinatorial identities and formulas by the application of Kronecker substitution to polynomial expansions within quotient rings.
Joseph M. Shunia
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Acta Physica Sinica, 2013 We propose an operator Hermite polynomial method, namely, we replace the arguments of the special function by quantum mechanical operators, and in this way we derive a binomial theorem involving Hermite polynomials and a negative-binomial theorem involving Laguerre polynomials.
null Fan Hong-Yi +3 more
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Polynomials of binomial type and Lucas’ Theorem [PDF]
Proceedings of the American Mathematical Society, 2015 At the intersection of number theory, commutative algebra and combinatorics. The new version has additional references.
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Forum of Mathematics, Sigma, 2023 Remixed Eulerian numbers are a polynomial q-deformation of Postnikov’s mixed Eulerian numbers. They arose naturally in previous work by the authors concerning the permutahedral variety and subsume well-known families of polynomials such as q-binomial ...
Philippe Nadeau, Vasu Tewari
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The Mixing Time for a Random Walk on the Symmetric Group Generated by Random Involutions [PDF]
Discrete Mathematics & Theoretical Computer Science, 2020 The involution walk is a random walk on the symmetric group generated by involutions with a number of 2-cycles sampled from the binomial distribution with parameter p.
Megan Bernstein
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BC-type interpolation Macdonald polynomials and binomial formula for Koornwinder polynomials [PDF]
Transformation Groups, 1998 28 pages, AMS TeX; replaced with revised journal version, to appear in Transf ...
Okounkov, Andrei, Vershik, Anatoly
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Vieta's triangular array and a related family of polynomials
International Journal of Mathematics and Mathematical Sciences, 1991 If n≥1, let the nth row of an infinite triangular array consist of entries B(n,j)=nn−j(jn−j), where 0≤j≤[12n].
Neville Robbins
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Edge detection and mathematic fitting for corneal surface with Matlab software
International Journal of Ophthalmology, 2017 AIM: To select the optimal edge detection methods to identify the corneal surface, and compare three fitting curve equations with Matlab software. METHODS: Fifteen subjects were recruited.
Yue Di, Mei-Yan Li, Tong Qiao, Na Lu
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