Trigonometric functions and some trigonometrical identities [PDF]
Computational Algorithms and Numerical Dimensions, 2023 Trigonometry is a part of mathematics which deals with specific functions of angles and their application, and it is studies of the dependence between the sides and angles of a triangle.
Laxmi Rathour +4 more
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A Few Finite Trigonometric Sums
Mathematics, 2017 Finite trigonometric sums occur in various branches of physics, mathematics, and their applications. These sums may contain various powers of one or more trigonometric functions. Sums with one trigonometric function are known; however, sums with products
Chandan Datta, Pankaj Agrawal
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Extended Levett trigonometric series. [PDF]
PLoS ONEAn extension of two finite trigonometric series is studied to derive closed form formulae involving the Hurwitz-Lerch zeta function. The trigonometric series involves angles with a geometric series involving the powers of 3.
Robert Reynolds
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Trigonometric function transformation and its application in software reliability modeling. [PDF]
PLoS ONEContextMany models based on S-shaped functions demonstrate their advantages in non-homogeneous Poisson process software reliability modeling. However, three well-known types have been used without deep mathematical evaluation.
Dai-Nghia Vy +4 more
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Parameter N Analysis on the Rational-Talbot Algorithm for Numerical Inversion of Laplace Transform
Vetor, 2021 This article investigates the numerical inversion of the Laplace Transform by the Rational-Talbot method and analyzes the influence on the variation of the free parameter N established by the technique when applied to certain functions.
Elisandra Freitas +4 more
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On the boundedness of the partial sums operator for the Fourier series in the function classes families associated with harmonic intervals [PDF]
Қарағанды университетінің хабаршысы. Математика сериясы, 2021 The article is devoted to the study of some data from the theory of functions approximation by trigonometric polynomials with a spectrum from special sets called harmonic intervals.
Gulsim A. Yessenbayeva +3 more
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On the Trigonometric and p-Trigonometric Functions of Elliptical Complex Variables
Communications in Advanced Mathematical Sciences, 2020 In the early 2000s, the geometry of a one-parameter family of generalized complex number systems was studied (Math. Mag. 77(2)(2004)). This family is denoted by Cp.
Kahraman Esen Özen
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On the Norms of RFMLR-Circulant Matrices with the Exponential and Trigonometric Functions
Journal of Mathematics, 2021 In this paper, based on combinatorial methods and the structure of RFMLR-circulant matrices, we study the spectral norms of RFMLR-circulant matrices involving exponential forms and trigonometric functions.
Baijuan Shi
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High Performance Implementation and Optimization of Trigonometric Functions Based on SIMD [PDF]
Jisuanji kexue, 2021 As a basic mathematical operation,the high-performance implementation of trigonometric functions is of great significance to the construction of the basic software ecology of the processor.Especially,the current processors have adopted the SIMD ...
YAO Jian-yu, ZHANG Yi-wei, ZHANG Guang-ting, JIA Hai-peng
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An elementary treatise on elliptic functions as trigonometry
Alifmatika, 2023 This article concerns the examination of trigonometric identities from an elliptic perspective. The treatment of elliptic functions presented herein adheres to a structure analogous to the traditional exposition of trigonometric functions, with the ...
Laith H. M. Al-ossmi
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