Results 31 to 40 of about 203,974 (250)
On Buffon Machines and Numbers [PDF]
, 2009 The well-know needle experiment of Buffon can be regarded as an analog (i.e., continuous) device that stochastically "computes" the number 2/pi ~ 0.63661, which is the experiment's probability of success.
Flajolet, Philippe +2 more
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Extended trigonometric Cherednik algebras and nonstationary Schr\"odinger equations with delta-potentials [PDF]
, 2012 We realize an extended version of the trigonometric Cherednik algebra as affine Dunkl operators involving Heaviside functions. We use the quadratic Casimir element of the extended trigonometric Cherednik algebra to define an explicit nonstationary Schr ...
Gaudin M. +4 more
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Geometric convexity of the generalized sine and the generalized hyperbolic sine [PDF]
, 2013 In the paper, the authors prove that the generalized sine function $\sin_{p,q}(x)$ and the generalized hyperbolic sine function $\sinh_{p,q}(x)$ are geometrically concave and geometrically convex, respectively.
Jiang, Wei-Dong, Qi, Feng
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Families of Integrals of Polylogarithmic Functions
Mathematics, 2019 We give an overview of the representation and many connections between integrals of products of polylogarithmic functions and Euler sums. We shall consider polylogarithmic functions with linear, quadratic, and trigonometric arguments, thereby producing ...
Anthony Sofo
doaj +1 more source
IEEE Access, 2023 Nowadays, problems such as greenhouse effect and air pollution become increasingly prominent. The power generation process should pay attention to the fuel cost and reduce the pollution to the environment.
Yun-Peng Li +2 more
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On Kahan's Rules for Determining Branch Cuts [PDF]
, 2011 In computer algebra there are different ways of approaching the mathematical concept of functions, one of which is by defining them as solutions of differential equations. We compare different such approaches and discuss the occurring problems.
Bruno Salvy +5 more
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On the p-Version of the Schwab-Borchardt Mean
International Journal of Mathematics and Mathematical Sciences, 2014 This paper deals with a one-parameter generalization of the Schwab-Borchardt mean. The new mean is defined in terms of the inverse functions of the generalized trigonometric and generalized hyperbolic functions.
Edward Neuman
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Transcritical flow of a stratified fluid over topography: analysis of the forced Gardner equation [PDF]
, 2013 Transcritical flow of a stratified fluid past a broad localised topographic obstacle is studied analytically in the framework of the forced extended Korteweg--de Vries (eKdV), or Gardner, equation.
Clift, R. +7 more
core +3 more sources
The maximum modulus of a trigonometric trinomial [PDF]
, 2007 Let Lambda be a set of three integers and let C_Lambda be the space of 2pi-periodic functions with spectrum in Lambda endowed with the maximum modulus norm.
D. I. Cartwright +22 more
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ON CARLSON'S AND SHAFER'S INEQUALITIES
Проблемы анализа, 2014 In this paper the authors re ne the Carlson's inequa-lities for inverse cosine function, and the Shafer's inequalities for inverse tangent function.
B. A. Bhayo, J. S andor
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