Results 211 to 220 of about 158,055 (244)

On Sampling-Times-Independent Identification of Relaxation Time and Frequency Spectra Models of Viscoelastic Materials Using Stress Relaxation Experiment Data. [PDF]

Materials (Basel)
Stankiewicz A, Juściński S, Błażewicz-Woźniak M.   +2 more
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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]

Sci Rep
Attaullah, Khan A, Boulaaras S, Din N, Khan MS.   +4 more
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Chebyshev polynomials: From approximation theory to algebra and number theory T. J. Rivlin, Wiley-Interscience, 1990, 249 pp

Journal of Approximation Theory
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Zero Determination of Algebraic Numbers using Approximate Computation and its Application to Algorithms in Computer Algebra

Zero Determination of Algebraic Numbers using Approximate Computation and its Application to Algorithms in Computer Algebra
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Algebraic independence of the values of certain infinite products and their derivatives related to Fibonacci and Lucas numbers (Analytic Number Theory : Number Theory through Approximation and Asymptotics)

Algebraic independence of the values of certain infinite products and their derivatives related to Fibonacci and Lucas numbers (Analytic Number Theory : Number Theory through Approximation and Asymptotics)
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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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RATIONAL APPROXIMATIONS TO ALGEBRAIC NUMBERS

Mathematika, 1955
This important paper contains a proof of the long conjectured theorem: ``If \(\alpha\) is an algebraic irrational number, and if there are infinitely many fractions \(h/q\) with \(\vert \alpha - h/q\vert \le q^{-\kappa}\), \(q > 0\), \((h, q) = 1\), then \(\kappa\le 2\).'' Much of the proof runs on classical lines.
Davenport, Harold, Roth, Klaus F.
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On constructing Greek ladders to approximate any real algebraic number

International Journal of Mathematical Education in Science and Technology, 2021
In 2005, Osler et al. showed that algebraic irrational numbers of the form kn for n,k∈N can be approximated using specific Greek ladders (Osler, T. J., Wright, M., & Orchard, M. (2005).
Jeff Rushall, Justin Sima, Riley Waechter   +2 more
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RATIONAL APPROXIMATIONS TO ALGEBRAIC NUMBERS

Mathematics of the USSR-Izvestiya, 1971
In this article we derive a new effective estimate of rational approximations to algebraic numbers simultaneously in an Archimedian and several non-Archimedian metrics.
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Rational approximations to algebraic numbers

Mathematika, 1957
It was proved by Roth in a recent paper that if α is any real algebraic number, and if K > 2, then the inequalityhas only a finite number of solutions in relatively prime integers p, q (q > 0) The object of the present paper is to prove that the lower bound for κ can be reduced if conditions are imposed on p and q. The result obtained is as follows.
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