Results 331 to 340 of about 248,011 (369)

H-POLYNOMIALS AND ROOK POLYNOMIALS

International Journal of Algebra and Computation, 2008
The purpose of this paper is twofold. First we describe a useful procedure for computing the H-polynomials of reductive monoids. Second we use this procedure to compute the H-polynomial of the monoid of n × n matrices in terms of the q-analogues of the rook polynomials of Garsia and Remmel.
Mahir Bilen Can, Lex E. Renner
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Polynomial Utility

SSRN Electronic Journal, 2022
We approximate the utility function by polynomial series and solve the related dynamic portfolio optimization problems. We study the quality of the Taylor and Bernstein series approximation in response to the points and degrees of the expansions and generalize from earlier expansions applied to portfolio optimization.
ALEXANDER S. LOLLIKE, MOGENS STEFFENSEN
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On Multiplication of Polynomials Modulo a Polynomial

SIAM Journal on Computing, 1980
The multiplicative complexity of the direct product of algebras $A_p $ of polynomials modulo a polynomial P is studied. In particular, we show that if P and Q are irreducible polynomials then the multiplicative complexity of $A_{\text{P}} \times A_{\text{Q}} $ is $2\deg ({\text{P}})\deg ({\text{Q}}) - {\text{k}}$, where k is the number of factors of P ...
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Polynomial Decompositions in Polynomial Time

2014
Fix a prime p. Given a positive integer k, a vector of positive integers Δ = (Δ1, Δ2, …, Δ k ) and a function \(\Gamma: \mathbb{F}_p^k \to \mathbb{F}_p\), we say that a function \(P: \mathbb{F}_p^n \to \mathbb{F}_p\) is (k,Δ,Γ)-structured if there exist polynomials \(P_1, P_2, \dots, P_k:\mathbb{F}_p^n \to \mathbb{F}_p\) with each deg(P i ) ≤ Δ i such ...
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The Permanental Polynomial

Journal of Chemical Information and Computer Sciences, 2000
This study identifies properties and uses of the permanental polynomial of adjacency matrixes of unweighted chemical graphs. Coefficients and zeroes of the polynomial for several representative structures are provided, and their properties are discussed.
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