Results 31 to 40 of about 972,893 (286)
Polynomials with minimal value set over Galois rings
Let GR(pn,m) denote the Galois ring of order pn,m, where p is a prime. In this paper we define and characterize minimal value set polynomials over GR(pn,m).
Maria T. Acosta-De-Orozco +1 more
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Double Cyclic Codes over \({\mathbb{F}_{q}+v\mathbb{F}_{q}}\)
In this paper, an algebraic structure of a type of double cyclic codes is investigated, which covers some existing codes as special cases. The paper presents generic results about the generating polynomials, minimal generating sets, matrices and dual ...
Tenghui Deng, Jing Yang
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An Algorithm for Minimization of Boolean Functions in the Class of Toffoli Reversible Logic Circuits [PDF]
In this paper, the problem of Boolean function's representation by the reversible circuits constructed of the Toffoli gates is considered. Interest in this problem is connected with actual studies of the possibility for realization of "cold" computations.
A.S. Frantseva
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Minimal polynomials of singular moduli [PDF]
Given a properly normalized parametrization of a genus-0 modular curve, the complex multiplication points map to algebraic numbers called singular moduli. In both cases there are known algorithms for algebraically computing the rational norms of the singular moduli without relying on the the recognition of a decimal or
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Note on bases in algebras of analytic functions on Banach spaces
Let $\{P_n\}_{n=0}^\infty$ be a sequenceof continuous algebraically independent homogeneous polynomials on a complex Banach space $X.$ We consider the following question: Under which conditions polynomials $\{P_1^{k_1}\cdots P_n^{k_n}\}$ form a Schauder
I.V. Chernega, A.V. Zagorodnyuk
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Determination of the Minimal Polynomials of Algebraic Numbers of the Form tg2 (π/n) by the Tschirnhausen Transformation [PDF]
Solutions of two problems are offered based on the Tschirnhausen transformation. The first problem is connected with the construction of minimal polynomials of the numbers of the form tg2 (π/n) by means of the Tschirnhausen transformation for all natural
I.G. Galyautdinov, E.E. Lavrentyeva
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Geometric properties of the lattice of polynomials with integer coefficients [PDF]
This paper is related to the classic but still being examined issue of approximation of functions by polynomials with integer coefficients. Let \(r\), \(n\) be positive integers with \(n \ge 6r\).
Artur Lipnicki, Marek J. Śmietański
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IGMRES method for linear systems [PDF]
The Index Generalized Minimal RESidual (IGMRES) algorithm is designed to compute the Drazin-inverse solution of a linear system of equations $Ax=b$, where $A$ is an arbitrary square matrix with index $\gamma$.
Faranges Kyanfar
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The group and the minimal polynomial of a graph
AbstractThis paper presents some results linking the minimal polynomial of the adjacency matrix of a graph with its group structure. An upper bound on the order of the group is derived for graphs whose minimal and characteristic polynomials are identical.
CRISCUOLO, GIOVANNI +3 more
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A standard form in (some) free fields: How to construct minimal linear representations
We describe a standard form for the elements in the universal field of fractions of free associative algebras (over a commutative field). It is a special version of the normal form provided by Cohn and Reutenauer and enables the use of linear algebra ...
Schrempf Konrad
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