Results 51 to 60 of about 8,787,339 (256)
Necessary and sufficient conditions for the existence of invariant algebraic curves
Electronic Journal of Qualitative Theory of Differential Equations, 2021 We present a set of conditions enabling a polynomial system of ordinary differential equations in the plane to have invariant algebraic curves. These conditions are necessary and sufficient. Our main tools include factorizations over the field of Puiseux
Maria Demina
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Computation of the Euclidean minimum of algebraic number fields [PDF]
, 2014 30 pages, shorter version, with many typos fixedInternational audienceWe present an algorithm to compute the Euclidean minimum of an algebraic number field, which is a generalization of the algorithm restricted to the totally real case described by Cerri.
Pierre Lezowski, Lezowski, Pierre
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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
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An Example of Two-Fold Fuzzy Algebras Based On Neutrosophic Real Numbers [PDF]
Neutrosophic Sets and SystemsThis 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 +5 more
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On the algebraic numbers computable by some generalized Ehrenfest urns [PDF]
Discrete Mathematics & Theoretical Computer Science, 2012 This article deals with some stochastic population protocols, motivated by theoretical aspects of distributed computing. We modelize the problem by a large urn of black and white balls from which at every time unit a fixed number of balls are drawn and ...
Marie Albenque, Lucas Gerin
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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
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Studies on the number theory of orders [PDF]
, 1982 Bibliography: pages 78-81.In the nineteenth century no distinction was drawn between maximal and nonmaximal orders in a numberfield. Most of the work on orders in this period was done by Dedekind and Kronecker.
Omar, Mohammed Rafiq
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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 +4 more
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On the approximation to algebraic numbers by algebraic numbers
Glasnik matematički, 2009 Let n be a positive integer. Let ξ be an algebraic real number of degree greater than n. It follows from a deep result of W. M. Schmidt that, for every positive real number ε, there are infinitely many algebraic numbers α of degree at most n such that |ξ - α| < H(α)-n - 1 + ε, where H(α) denotes the naive height of α.
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Observer‐Based Adaptive Event‐Triggered Tracking Control for Fuzzy TS Systems With Premise Mismatch
International Journal of Adaptive Control and Signal Processing, EarlyView.This paper presents an adaptive logistic event‐triggered observer‐based tracking controller for Takagi‐Sugeno fuzzy systems under constrained inputs and network delays. Leveraging a hybrid LMI and Secretary Bird Optimization approach, this strategy significantly minimizes communication overhead and computational burden while ensuring optimal reference ...
Oussama Djadane +3 more
wiley +1 more source