Results 31 to 40 of about 93,014 (230)

Trigonometric functions in the secondary school

open access: yesLietuvos Matematikos Rinkinys, 2009
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
doaj   +1 more source

Integral of radical trigonometric functions revisited [PDF]

open access: yes, 2016
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.
core   +3 more sources

THREE-VARIABLE ALTERNATING TRIGONOMETRIC FUNCTIONS AND CORRESPONDING FOURIER TRANSFORMS

open access: yesActa Polytechnica, 2016
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
doaj   +1 more source

Extension of Oppenheim's Problem to Bessel Functions

open access: yesJournal of Inequalities and Applications, 2008
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
doaj   +1 more source

Characteristics of linear and nonlinear approximation of isotropic classes of periodic multivariate functions

open access: yesKarpatsʹkì Matematičnì Publìkacìï, 2023
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
doaj   +1 more source

The neutrosophic integrals and integration methods [PDF]

open access: yesNeutrosophic Sets and Systems, 2021
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
doaj   +1 more source

Classification of errors in determining trigonometry function values at standard positions

open access: yesJournal of Research and Advances in Mathematics Education, 2023
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
doaj   +1 more source

Elliptic and K-theoretic stable envelopes and Newton polytopes [PDF]

open access: yes, 2018
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.
core   +3 more sources

On generalized trigonometric functions and series of rational functions

open access: yes, 2017
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
core   +1 more source

Opposite Antipodal Fundamental Solution of Laplace's Equation in Hyperspherical Geometry [PDF]

open access: yes, 2011
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.
core   +3 more sources

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