Results 221 to 230 of about 86,722,945 (268)
Bandwidth of gamma-distribution-shaped functions via Lambert W function. [PDF]
LoPrete A, Burge J.
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Urea Detection in Phosphate Buffer and Artificial Urine: A Simplified Kinetic Model of a pH-Sensitive EISCAP Urea Biosensor. [PDF]
Simonyan K +4 more
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Parameter-uniform numerical method for a coupled system of singularly perturbed turning point problems with Robin boundary conditions. [PDF]
Karanam C, Maroju P.
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Generalization of Bleaney's Theory. [PDF]
Lang L, Lauw B, Fiorucci L.
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Simultaneous approximation of algebraic numbers
Mathematical Notes, 1992Let 1, \(\theta_ 1, \dots, \theta_ s\) \((s \geq 2)\) be a basis of a purely algebraic field \(\mathbb{K}\) of degree \(s+1\). The author proves the following theorem: assume that a natural number simultaneously approximates the number \(\theta_ 1, \dots, \theta_ s\), \[ \| q \theta_ i \| = \min_{a \in \mathbb{Z}} | q \theta_ i - a |0\) is some ...
N G Moshchevitin
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On a simultaneous approximation of logarithms and algebraic powers of algebraic numbers
Mathematical Notes, 1994Let \(\theta\in \mathbb{C}\) be an arbitrary transcendental number. Denote \(\mathbb{Q}_1= \mathbb{Q}(\theta)\) and \(\mathbb{J}_1= \mathbb{Z}[\theta]\). Let \(\mathbb{Q}^*_1\) be an algebraic extension of \(\mathbb{Q}_1\) of finite degree generated by the numbers \(\theta\) and \(\omega_1\), where \(\omega_1\) is a root of an irreducible polynomial in
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RATIONAL APPROXIMATIONS TO ALGEBRAIC NUMBERS
Mathematika, 1955This 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, 2022AbstractWe 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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Rational quadratic approximation to real algebraic curves
An algorithm is proposed to give a global approximation of an implicit real plane algebraic curve with rational quadratic B-spline curves. The algorithm consists of four steps: topology determination, curve segmentation, segment approximation and curve ...
Xiao-Shan Gao
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