Results 211 to 220 of about 157,970 (240)

Application of novel similarity measures in electric vehicle charging station site selection based on q-rung orthopair hesitant fuzzy rough sets under quantitative information. [PDF]

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Attaullah, Khan A, Boulaaras S, Din N, Khan MS.   +4 more
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Rational approximation to algebraic numbers of small height: the Diophantine equation |axn - byn|= 1

Journal für die reine und angewandte Mathematik (Crelles Journal), 2001
The main tool of this long and important work is the \textit{multidimensional hypergeometric method} for rational and algebraic approximation of certain algebraic numbers, which was considered first by K.~Mahler and sharpened by G.~Chudnovsky. Here the author obtains explicit results. His most spectacular result is the following definitive Theorem. Let
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APPROXIMATING NUMBERS OF THE CANTOR SET BY ALGEBRAIC NUMBERS

Bulletin of the Australian Mathematical Society, 2022
AbstractWe consider the set of elements in a translation of the middle-third Cantor set which can be well approximated by algebraic numbers of bounded degree. A doubling dimensional result is given, which enables one to conclude an upper bound on the dimension of the set in question for a generic translation.
YUAN ZHANG, JIA LIU, SAISAI SHI
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THE THUE-MAHLER EQUATION IN A RELATIVE FIELD AND APPROXIMATION OF ALGEBRAIC NUMBERS BY ALGEBRAIC NUMBERS

Mathematics of the USSR-Izvestiya, 1977
A new estimate of the solutions of the generalized Thue-Mahler equation is derived, which explicitly exhibits the influence of all fundamental parameters of the equation on the magnitude of the solutions. Also, an effective power sharpening is given of "Liouville's inequality" relating to the approximation of algebraic numbers by algebraic numbers of a
Kotov, S. V., Sprindzuk, V. G.
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The Best Approximation of Algebraic Numbers by Multidimensional Continued Fractions

Journal of Mathematical Sciences, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Approximation by Algebraic Numbers

2004
Algebraic numbers can approximate and classify any real number. Here, the author gathers together results about such approximations and classifications. Written for a broad audience, the book is accessible and self-contained, with complete and detailed proofs.
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Exact polynomial factorization by approximate high degree algebraic numbers

Proceedings of the 2009 conference on Symbolic numeric computation, 2009
For factoring polynomials in two variables with rational coefficients, an algorithm using transcendental evaluation was presented by Hulst and Lenstra. In their algorithm, transcendence measure was computed. However, a constant c is necessary to compute the transcendence measure.
Jing-wei Chen, Yong Feng, Xiao-lin Qin, Jing-zhong Zhang   +3 more
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Approximation of a fuzzy number by a fuzzy element of fuzzy algebra

2020 IEEE 6th International Conference on Optimization and Applications (ICOA), 2020
In the present work, the fuzzy algebra is defined, a condition of approximation is presented and we finished by an application to solve a fuzzy differential equation.
I. Bakhadach, M. Elomari, S. Melliani, H. Sadiki, L. S. Chadli   +4 more
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Diophantine approximation by conjugate algebraic numbers

2013
In 1969, Davenport and Schmidt provided upper bounds for the approximation of a real number by algebraic integers. Their novel approach was based on the geometry of numbers and involved the duality for convex bodies. In the present thesis we study the approximation of a real number by conjugate algebraic numbers.
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On the measure of approximation of the number π by algebraic numbers

Mathematical Notes, 1999
By means of the method of the Laurent interpolation determinant, it is proved that, if ζ is an algebraic number, the real numbersd andL satisfy the inequalitiesd≥degζ,L≥L(ζ), andL≥3, and the numberd is sufficiently large, then the inequality $$|\pi - \varsigma | \geqslant \exp (
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