Results 31 to 40 of about 42,635 (224)
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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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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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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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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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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Generalized trigonometric functions and their applications
Вісник Астрономічної школи, 2015 The basics of generalized trigonometric functions theory are developed. We give an example of this theory application illustrating the effect of frequencies deployment which is inverse to the well-known effect of overlaying frequencies.
V. P. Denysyuk
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Lietuvos Matematikos Rinkinys, 2017 Very important and instructive trigonometric equation is considered. The solutions from different manuals and reference books are examined, mistakes of these solutions are discovered.
Juozas Juvencijus Mačys +1 more
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The natural algorithmic approach of mixed trigonometric-polynomial problems [PDF]
, 2017 The aim of this paper is to present a new algorithm for proving mixed trigonometric-polynomial inequalities by reducing to polynomial inequalities. Finally, we show the great applicability of this algorithm and as examples, we use it to analyze some new ...
Lutovac, Tatjana +2 more
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GENERALIZED GUDERMANNIAN FUNCTION
Проблемы анализа, 2018 Wilker and Huygens-type inequalities involving generalized Gudermannian function and its inverse function are established. These results are obtained with the aid of the p-version of the Schwab-Borchardt mean.
Neuman Edward
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