Results 21 to 30 of about 248,977 (280)
Composition algebras of polynomials [PDF]
Pacific Journal of Mathematics, 1985 A composition algebra A has two operations defined on it, namely, addition and composition (substitution of polynomials). The ring C[x,y,...] of polynomials in the indeterminates x,y,... with coefficients in a commutative ring C is commutative with respect to addition, associative under composition, and one-sided distributive over addition.
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Growth of generalized Weyl algebras over polynomial algebras and Laurent polynomial algebras
Science China Mathematics, 2022 We mainly study the growth and Gelfand-Kirillov dimension (GK-dimension) of generalized Weyl algebra (GWA) $A=D(σ,a)$ where $D$ is a polynomial algebra or a Laurent polynomial algebra. Several necessary and sufficient conditions for $\operatorname{GKdim}(A)=\operatorname{GKdim}(D)+1$ are given. In particular, we prove a dichotomy of the GK-dimension of
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Bernstein-Walsh type inequalities for derivatives of algebraic polynomials in quasidisks
Open Mathematics, 2021 In this paper, we study Bernstein-Walsh type estimates for the higher-order derivatives of an arbitrary algebraic polynomial on quasidisks.
Abdullayev Fahreddin G.
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Algebraic independence of polynomials [PDF]
Acta Arithmetica, 2000 Let k be an algebraically closed field, K a field over k and f, g polynomials over K. We give necessary and sufficient conditions for f, g to be algebraically dependent over k.
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Wu’s Characteristic Set Method for SystemVerilog Assertions Verification
Journal of Applied Mathematics, 2013 We propose a verification solution based on characteristic set of Wu’s method towards SystemVerilog assertion checking over digital circuit systems. We define a suitable subset of SVAs so that an efficient polynomial modeling mechanism for both circuit ...
Xinyan Gao +3 more
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A New Approach of Morgan-Voyce Polynomial to Solve Three Point Boundary Value Problems
Ibn Al-Haitham Journal for Pure and Applied Sciences, 2021 In this paper, a new procedure is introduced to estimate the solution for the three-point boundary value problem which is instituted on the use of Morgan-Voyce polynomial. In the beginning, Morgan-Voyce polynomial along with their important properties is
Bushra Esaa Kashem
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Limitations of Algebraic Approaches to Graph Isomorphism Testing
, 2015 We investigate the power of graph isomorphism algorithms based on algebraic reasoning techniques like Gr\"obner basis computation. The idea of these algorithms is to encode two graphs into a system of equations that are satisfiable if and only if if the ...
A Atserias +10 more
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Alexander-Conway and bracket polynomials of a family of pretzel links
Revista IntegraciónPolynomial invariants constitute a dynamic and essential area of study in knot theory. From the pioneer Alexander polynomial, the revolutionary Jones polynomial, to the collectively discovered HOMFLYPT polynomial (just to mention a few), these algebraic
Alan Samuel Hernández Flores +1 more
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, 2020 A system of polynomial ordinary differential equations (ODEs) is specified via a vector of multivariate polynomials, or vector field, $F$. A safety assertion $\psi\rightarrow[F]\phi$ means that the trajectory of the system will lie in a subset $\phi ...
Boreale, Michele
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Local maxima of a random algebraic polynomial
International Journal of Mathematics and Mathematical Sciences, 2001 We present a useful formula for the expected number of maxima of a normal process ξ(t) that occur below a level u. In the derivation we assume chiefly that ξ(t),ξ′(t), and ξ′′(t) have, with probability one, continuous 1 dimensional distributions and ...
K. Farahmand, P. Hannigan
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