The Experts below are selected from a list of 52854 Experts worldwide ranked by ideXlab platform
Michel Balazard - One of the best experts on this subject based on the ideXlab platform.
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Sur la variation quadratique totale de la suite des parties fractionnaires des quotients d'un nombre réel positif par les nombres entiers naturels consécutifs
arXiv: Number Theory, 2016Co-Authors: Michel BalazardAbstract:We give an asymptotic formula for the total variation of the sequence of fractional parts of the quotients of a Positive Real Number by the consecutive natural Numbers.
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Sur la variation totale de la suite des parties fractionnaires des quotients d'un nombre réel positif par les nombres entiers naturels consécutifs
2016Co-Authors: Michel BalazardAbstract:We give an asymptotic formula for the total variation of the sequence of fractional parts of the quotients of a Positive Real Number by the consecutive natural Numbers.
Allan Berele - One of the best experts on this subject based on the ideXlab platform.
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Properties of hook Schur functions with applications to p. i. algebras
Advances in Applied Mathematics, 2008Co-Authors: Allan BereleAbstract:We study properties of the coefficients m"@l in infinite series of hook Schur functions @?m"@lHS"@l(x"1,...,x"k;y"1,...,y"@?) that converge to rational functions with denominators a product of terms of the form (1-M), where each M is a monomial in the x"i and y"j. As an application, we prove that if A is a p. i. algebra with unit in characteristic 0, then the colength sequence l"n(A) is asymptotic to a function of the form Cn^t, for some Positive Real Number C and some Positive integer t; and the codimension sequence c"n(A) is asymptotic to a function of the form Cn^te^n, for some Positive Real Number C, integer or half-integer t, and Positive integer e.
Stylianos Siskos - One of the best experts on this subject based on the ideXlab platform.
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ISCAS - A low-voltage, analog power-law function generator
2006 IEEE International Symposium on Circuits and Systems, 1Co-Authors: G. Fikos, Lazaros Nalpantidis, Stylianos SiskosAbstract:A simple low voltage circuit topology able to generate any Positive Real Number power-law function is presented. The proposed circuit exploits BJTs and is based on piecewise linear approximation of the nonlinear function to be generated. An in-depth mathematical analysis is deployed. The instances of a squarer, a cube-law, a square rooting and cube rooting circuit are thoroughly examined through simulation. The obtained results verify the theoretical calculations.
Francois Dubeau - One of the best experts on this subject based on the ideXlab platform.
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Newton's method and high-order algorithms for the nth root computation
Journal of Computational and Applied Mathematics, 2009Co-Authors: Francois DubeauAbstract:Two modifications of Newton's method to accelerate the convergence of the nth root computation of a strictly Positive Real Number are revisited. Both modifications lead to methods with prefixed order of convergence p@?N,p>=2. We consider affine combinations of the two modified pth-order methods which lead to a family of methods of order p with arbitrarily small asymptotic constants. Moreover the methods are of order p+1 for some specific values of a parameter. Then we consider affine combinations of the three methods of order p+1 to get methods of order p+1 again with arbitrarily small asymptotic constants. The methods can be of order p+2 with arbitrarily small asymptotic constants, and also of order p+3 for some specific values of the parameters of the affine combination. It is shown that infinitely many pth-order methods exist for the nth root computation of a strictly Positive Real Number for any p>=3.
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n th root extraction: double iteration process and Newton's method
Journal of Computational and Applied Mathematics, 1998Co-Authors: Francois DubeauAbstract:A double iteration process already used to find the nth root of a Positive Real Number is analysed and showed to be equivalent to the Newton's method. These methods are of order two and three. Higher-order methods for finding the nth root are also mentioned.
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A simple constructive proof of the arithmetic ‐‐ geometric mean inequality and two applications
International Journal of Mathematical Education in Science and Technology, 1990Co-Authors: Francois DubeauAbstract:I present a simple, constructive and elementary proof of the arithmetic‐geometric mean inequality. The proof does not require calculus. Applications to the design of a multistage rocket and to the computation of the nth root of a Positive Real Number are presented.
D. Bǎleanu - One of the best experts on this subject based on the ideXlab platform.
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Lower and Upper Solutions Method for Positive Solutions of Fractional Boundary Value Problems
Abstract and Applied Analysis, 2013Co-Authors: R. Darzi, B. Mohammadzadeh, Abdolali Neamaty, D. BǎleanuAbstract:We apply the lower and upper solutions method and fixed-point theorems to prove the existence of Positive solution to fractional boundary value problem , , , , , , where denotes Riemann-Liouville fractional derivative, s is Positive Real Number, , and is continuous on . As an application, one example is given to illustrate the main result.
