Results 41 to 50 of about 600,804 (334)

Polynomials Generating Maximal Real Subfields of Circular Fields [PDF]

Учёные записки Казанского университета: Серия Физико-математические науки, 2016
We have constructed recurrence formulas for polynomials qn(x) ɕ Q[x], any root of which generates the maximal real subfield of circular field K2n. It has been shown that all real subfields of fixed field K2n can be described by using polynomial qn(x) and
I.G. Galyautdinov, E.E. Lavrentyeva
doaj  

Visual and Symbolic Representations as Components of Algebraic Reasoning

Journal of Numerical Cognition, 2023
Sixty (35 girls) ninth graders were assessed on measures of algebraic reasoning and usage of visual and symbolic representations (with a prompt for visual use) to solve equations and inequalities.
Zehra E. Ünal, Aslı M. Ala, Gamze Kartal, Serkan Özel, David C. Geary   +4 more
doaj   +1 more source

The dual fuzzy matrix equations: Extended solution, algebraic solution and solution

AIMS Mathematics, 2023
In this paper, we propose a direct method to solve the dual fuzzy matrix equation of the form $ \mathbf{A}\widetilde{\mathbf{X}}+\widetilde{\mathbf{B}} = \mathbf{C}\widetilde{\mathbf{X}}+\widetilde{\mathbf{D}} $ with $ \mathbf{A} $, $ \mathbf{C ...
Zengtai Gong , Jun Wu, Kun Liu
doaj   +1 more source

The number of connected components of certain real algebraic curves

International Journal of Mathematics and Mathematical Sciences, 2001
For an integer n≥2, let p(z)=∏k=1n(z−αk) and q(z)=∏k=1n(z−βk), where αk,βk are real. We find the number of connected components of the real algebraic curve {(x,y)∈ℝ2:|p(x+iy)|−|q(x+iy)|=0} for some αk and βk.
Seon-Hong Kim
doaj   +1 more source

Gr\"obner Bases over Algebraic Number Fields

, 2015
Although Buchberger's algorithm, in theory, allows us to compute Gr\"obner bases over any field, in practice, however, the computational efficiency depends on the arithmetic of the ground field.
Boku, Dereje Kifle, Decker, Wolfram, Fieker, Claus, Steenpass, Andreas   +3 more
core   +1 more source

Toral Algebraic Sets and Function Theory on Polydisks [PDF]

, 2005
A toral algebraic set $A$ is an algebraic set in $\C^n$ whose intersection with $\T^n$ is sufficiently large to determine the holomorphic functions on $A$.
Agler, Jim, McCarthy, John, Stankus, Mark   +2 more
core   +3 more sources

An Example of Two-Fold Fuzzy Algebras Based On Neutrosophic Real Numbers [PDF]

Neutrosophic Sets and Systems
This paper is dedicated to defining and studying for the first time a two-fold algebra over the neutrosophic real number ring by merging the fuzzy set mapping with the algebraic operations of the neutrosophic real number ring.
Abdallah Shihadeh, Khaled Ahmad Mohammad Matarneh, Raed Hatamleh, Randa Bashir Yousef Hijazeen, Mowafaq Omar Al-Qadri, Abdallah Al-Husban   +5 more
doaj   +1 more source

On the number of homotopy types of fibres of a definable map [PDF]

, 2007
In this paper we prove a single exponential upper bound on the number of possible homotopy types of the fibres of a Pfaffian map, in terms of the format of its graph.
Basu, Saugata, Vorobjov, Nicolai
core   +3 more sources

Finding Integral Linear Dependencies of Algebraic Numbers and Algebraic Lie Algebras [PDF]

LMS Journal of Computation and Mathematics, 2007
Abstract:We give an algorithm for finding the module of linear dependencies of the roots of a monic integral polynomial. Using this, we describe an algorithm for constructing the algebraic hull of a given matrix Lie algebra in characteristic zero.
De Graaf, Willem Adriaan, C. Fieker
openaire   +4 more sources

Effective Irrationality Measures and Approximation by Algebraic Conjugates

, 2010
In this paper, we present a result on using algebraic conjugates to form a sequence of approximations to an algebraic number, and in this way obtain effective irrationality measures for related algebraic numbers.
Voutier, Paul
core   +1 more source