EuDML | Browse

Items

All a b c d e f g h i j k l m n o p q r s t u v w x y z Other

Displaying 281 – 300 of 374

Solving quadratic equations over polynomial rings of characteristic two.

Jorgen Cherly, Luis Gallardo, Leonid Vaserstein, Ethel Wheland (1998)

Publicacions Matemàtiques

We are concerned with solving polynomial equations over rings. More precisely, given a commutative domain A with 1 and a polynomial equation antn + ...+ a0 = 0 with coefficients ai in A, our problem is to find its roots in A.We show that when A = B[x] is a polynomial ring, our problem can be reduced to solving a finite sequence of polynomial equations over B. As an application of this reduction, we obtain a finite algorithm for solving a polynomial equation over A when A is F[x1, ..., xN] or F(x1,...

Solving the quintic by iteration in three dimensions.

Crass, Scott (2001)

Experimental Mathematics

Some Algebraic Properties of Polynomial Rings

Christoph Schwarzweller, Artur Korniłowicz (2016)

Formalized Mathematics

In this article we extend the algebraic theory of polynomial rings, formalized in Mizar [1], based on [2], [3]. After introducing constant and monic polynomials we present the canonical embedding of R into R[X] and deal with both unit and irreducible elements. We also define polynomial GCDs and show that for fields F and irreducible polynomials p the field F[X]/ is isomorphic to the field of polynomials with degree smaller than the one of p.

Some classes of irreducible polynomials

Anca Iuliana Bonciocat, Nicolae Ciprian Bonciocat (2006)

Acta Arithmetica

Some methods for evaluating the regulator of a real quadratic function field.

Stein, Andreas, Williams, Hugh C. (1999)

Experimental Mathematics

Some remarks on a paper by A. McD. Mercer: “Polynomials and convex sequence inequalities” [JIPAM. J. Inequal. Pure Appl. Math. 6, 2005, no. 1, Paper No. 8, 4p., electronic only].

Gavrea, Ioan (2005)

JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]

Specialization of quadratic and symmetric, bilinear forms, and a norm theorem

Manfred Knebusch (1973)

Acta Arithmetica

Stabilité algébrique et topologies hilbertiennes

Pierre Liardet (1975/1976)

Séminaire Delange-Pisot-Poitou. Théorie des nombres

Stochastic multivariable tracking: A polynomial equation approach

Michael Šebek (1983)

Kybernetika

Subgroups of finite index in an additive group of a ring.

Mojdeh, Doostali, Hashemi, S.Hassan (2001)

International Journal of Mathematics and Mathematical Sciences

Summen n-ter Potenzen in Körpern.

Eberhard Becker (1979)

Journal für die reine und angewandte Mathematik

Sums of Fourth Powers of Real Algebraic Functions.

Joachim Schmid (1994)

Manuscripta mathematica

Sums of Squares in Central Simple Algebras.

D.W. Lewis (1985)

Mathematische Zeitschrift

Sums of Squares in Division Algebras.

A. Wadsworth, D.B. Leep, D.B. Shapiro (1985)

Mathematische Zeitschrift

Sur la résultante de trois formes quadratiques ternaires

R. Radau (1869)

Nouvelles annales de mathématiques : journal des candidats aux écoles polytechnique et normale

Sur le groupe unitaire relatif à une involution d’un corps algébriquement clos

Bruno Deschamps (2011)

Journal de Théorie des Nombres de Bordeaux

Dans cet article, nous tentons de généraliser à d’autres situations l’isomorphisme de groupes topologiques qui existe entre le groupe $ℝ / ℤ$ et le groupe unitaire $𝕌 = {z \in ℂ / | z | = 1}$ .Nous montrons que cet isomorphisme existe algébriquement en toute généralité : pour tout corps algébriquement clos $C$ et toute involution $c$ de $C$ les groupes $𝕌 (C, c) = {z \in C / z c (z) = 1}$ et $C^{< c >} / ℤ$ sont isomorphes. Nous donnons ensuite un exemple d’involution $c_{0}$ de $ℂ$ qui n’est pas conjuguée, dans le groupe $Aut (ℂ)$ , à la conjugaison complexe et telle que $𝕌 (ℂ, c_{0})$ soit topologiquement isomorphe...

Currently displaying 281 – 300 of 374

Previous Page 15 Next