Results 221 to 230 of about 4,951 (270)

A method for multi-criteria decision making with probabilistic linguistic term based on cloud TOPSIS. [PDF]

Sci Rep
Almandeel A, Rao C, Zhang X, Qi H.
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MathOdyssey: Benchmarking Mathematical Problem-Solving Skills in Large Language Models Using Odyssey Math Data. [PDF]

Sci Data
Fang M, Wan X, Lu F, Xing F, Zou K.
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Online Optimizing Control and Dynamic Operation and Design Optimization of a Batch Electrodialysis Process for Sulfuric Acid Recovery. [PDF]

Ind Eng Chem Res
Latinis A, Papadopoulos AI, Seferlis P.
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Systematic comparison of inverse Langevin function approximations in stochastic dumbbell dynamics. [PDF]

J Nonnewton Fluid Mech
Cromer M, Vasquez PA.
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On the approximability of the logarithms of algebraic numbers

, 1975
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Approximation by Algebraic Numbers [PDF]

, 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.
Bugeaud, Yann
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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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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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Approximation By Algebraic Numbers [PDF]

, 2009
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