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A New Generator of Probability Models: The Exponentiated Sine-G Family for Lifetime Studies
Entropy, 2021 In this article, we propose the exponentiated sine-generated family of distributions. Some important properties are demonstrated, such as the series representation of the probability density function, quantile function, moments, stress-strength ...
Mustapha Muhammad +6 more
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The Cosine-Sine Functional Equation on Semigroups [PDF]
Annales Mathematicae Silesianae, 2021 Abstract The primary object of study is the “cosine-sine” functional equation f ( xy ) = f ( x ) g (
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Mouse B2 SINE elements function as IFN-inducible enhancers
eLife, 2023 Regulatory networks underlying innate immunity continually face selective pressures to adapt to new and evolving pathogens. Transposable elements (TEs) can affect immune gene expression as a source of inducible regulatory elements, but the significance ...
Isabella Horton +4 more
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Review of Science, Mathematics and ICT Education, 2015 Problem solving has an important place in learning and prior learning assessment in physical sciences. It is considered nowadays as a necessary and essential activity.
Brahim Mazouze, Ali Lounis
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, 2023 In this work, a new class of analytic function was defined by the Gegenbauer polynomial involving the sine function.
Ademosu, W. T. +2 more
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On the Superstability of the Pexider Type Trigonometric Functional Equation
Journal of Inequalities and Applications, 2010 We will investigate the superstability of the (hyperbolic) trigonometric functional equation from the following functional equations: f(x+y)±g(x−y)=λf(x)g(y) andf(x+y)±g(x−y)=λg(x)f(y), which can be considered ...
Gwang Hui Kim
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Journal of Inequalities and Applications, 2019 In this paper, we obtain some new inequalities which reveal the further relationship between the inverse tangent function arctanx and the inverse hyperbolic sine function sinh−1 x. At the same time, we give the analogue for inverse hyperbolic tangent and
Ling Zhu, Branko Malešević
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ON GENERALIZED SINE AND COSINE FUNCTIONS
Demonstratio Mathematica, 1995 The author finds addition formulas for functions \(f\), \(g\) which satisfy the functional equation \((f (x))^n+ (g (x))^n =1\), where \(f\), \(g\) are supposed to be real functions on a given group \((X, +)\) and \(n\in \mathbb{N}\) is fixed. The obtained addition formulas coincide with the well known representations of \(\cos (x+y)\) and \(\sin (x+y)\
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Animation of creation of sine function
, 2007 This animation requires Adobe flashAnimation of the creation of a sine function from the definition of the sine as a ratio between sides of a right ...
Ceperley, Peter
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Euler’s integrals and multiple sine functions [PDF]
Proceedings of the American Mathematical Society, 2004 We show that Euler’s famous integrals whose integrands contain the logarithm of the sine function are expressed via multiple sine functions.
Koyama Shin-ya, Kurokawa Nobushige
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