Results 31 to 40 of about 93,014 (230)
Trigonometric functions in the secondary school
In the school mathematics trigonometric functions for acute angle and obtuse angle are defined differently. The common definitions of trigonometric functions for the both cases in the paper are proposed.
Petras Vaškas
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Integral of radical trigonometric functions revisited [PDF]
This article revisits an integral of radical trigonometric functions. It presents several methods of integration where the integrand takes the form $\sqrt{1 \pm \sin x}$ or $\sqrt{1 \pm \cos x}$. The integral has applications in Calculus where it appears
Karjanto, N., Yermukanova, B.
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THREE-VARIABLE ALTERNATING TRIGONOMETRIC FUNCTIONS AND CORRESPONDING FOURIER TRANSFORMS
The common trigonometric functions admit generalizations to any higher dimension, the symmetric, antisymmetric and alternating ones. In this paper, we restrict ourselves to three dimensional generalization only, focusing on alternating case in detail ...
Agata Bezubik, Severin Pošta
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Extension of Oppenheim's Problem to Bessel Functions
Our aim is to extend some trigonometric inequalities to Bessel functions. Moreover, we deduce the hyperbolic analogue of these trigonometric inequalities, and we extend these inequalities to modified Bessel functions.
Ling Zhu, Árpád Baricz
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Exact order estimates for some characteristics of linear and nonlinear approximation of the isotropic Nikol'skii-Besov classes $\mathbf{B}^r_{p,\theta}$ of periodic multivariate functions in the spaces $B_{q,1}$, $1\leq q \leq \infty$, are obtained ...
A.S. Romanyuk +3 more
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The neutrosophic integrals and integration methods [PDF]
The purpose of this article is to study the neutrosophic integrals and integration methods, Where the method of integration by substitution is defined, and theorems have been proven useful for facilitating the calculation of integration for some ...
Yaser Ahmad Alhasan
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Classification of errors in determining trigonometry function values at standard positions
One of the important materials to study in a trigonometry course is the value of trigonometric functions in standard positions. However, the results of preliminary research show that there are still many first semester students who experience errors in ...
Yayan Eryk Setiawan Setiawan, Sunardi
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Elliptic and K-theoretic stable envelopes and Newton polytopes [PDF]
In this paper we consider the cotangent bundles of partial flag varieties. We construct the $K$-theoretic stable envelopes for them and also define a version of the elliptic stable envelopes. We expect that our elliptic stable envelopes coincide with the
Rimányi, R., Tarasov, V., Varchenko, A.
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On generalized trigonometric functions and series of rational functions
Here we introduce a way to construct generalized trigonometric functions associated with any complex polynomials, and the well known trigonometric functions can be seen to associate with polynomial $x^2-1$.
Yu, Han
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Opposite Antipodal Fundamental Solution of Laplace's Equation in Hyperspherical Geometry [PDF]
Due to the isotropy of $d$-dimensional hyperspherical space, one expects there to exist a spherically symmetric opposite antipodal fundamental solution for its corresponding Laplace-Beltrami operator.
Cohl, Howard S.
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