Results 41 to 50 of about 12,175,996 (314)

New inequalities between the inverse hyperbolic tangent and the analogue for corresponding functions

open access: yesJournal of Inequalities and Applications, 2020
In this paper, we present new inequalities which reveal further relationship for both the inverse tangent function arctan ( x ) $\arctan (x)$ and the inverse hyperbolic function arctanh ( x ) $\operatorname{arctanh}(x)$ .
Xiao-Diao Chen, Long Nie, Wangkang Huang
doaj   +1 more source

MADM Technique Using Tangent Trigonometric SvNN Aggregation Operators for the Teaching Quality Assessment of Teachers [PDF]

open access: yesNeutrosophic Sets and Systems, 2022
In current Chinese higher education, the teaching quality assessment (TQA) of teachers in colleges/universities is an essential way to promotes the improvement of teacher teaching quality in the teaching process.
Mailing Zhao, Jun Ye
doaj   +1 more source

Extended Wang sum and associated products.

open access: yesPLoS ONE, 2022
The Wang sum involving the exponential sums of Lerch's Zeta functions is extended to the finite sum of the Huwitz-Lerch Zeta function to derive sums and products involving cosine and tangent trigonometric functions.
Robert Reynolds, Allan Stauffer
doaj   +1 more source

A new tangent-based probabilistic approach with applications in sports and medical sciences

open access: yesAlexandria Engineering Journal, 2023
This paper proposes a new probabilistic method using the tangent function, namely, a new tangent-F family of distributions. It improves the data-fitting ability of its special members by adding a parameter.
Guang Lu   +5 more
doaj   +1 more source

Hyperbolic Tangent Function-Based Finite-Time Sliding Mode Control for Spacecraft Rendezvous Maneuver Without Chattering

open access: yesIEEE Access, 2020
This paper investigates the robust finite-time rendezvous maneuver control for spacecraft via sliding mode control technology. Two control architectures are devised for realizing the control objective, where a novel-developed sliding mode surface (SMS ...
Zhen Shi   +5 more
semanticscholar   +1 more source

An explicit formula for derivative polynomials of the tangent function [PDF]

open access: yes, 2017
In the paper, the authors derive an explicit formula for derivative polynomials of the tangent function, deduce an explicit formula for tangent numbers, pose an open problem about obtaining an alternative and explicit formula for derivative polynomials ...
Feng Qi, Bai-Ni Guo
core   +1 more source

The Tangent Stars of a Set and Extensions of Smooth Functions [PDF]

open access: yesIrish Mathematical Society Bulletin, 1991
Summary: The \(k\)-th order tangent star, \(\text{Tan}^ k(M,X)\), of a closed subset \(X\) of a \(C^ k\)-manifold \(M\) is defined and studied. The map \((M,X)\mapsto \text{Tan}^ k(M,X)\) is a covariant functor from the category of pairs to the category of stars.
O'Farrell, A.G., Watson, R.O.
openaire   +3 more sources

Inequalities between the inverse hyperbolic tangent and the inverse sine and the analogue for corresponding functions

open access: yesJournal 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
doaj   +1 more source

Arithmetic Optimization Algorithm Based on Cauchy Mutation Trigonometric Function Search to Solve Combined Economic Emission Dispatch Problem

open access: yesIEEE Access, 2023
Nowadays, problems such as greenhouse effect and air pollution become increasingly prominent. The power generation process should pay attention to the fuel cost and reduce the pollution to the environment.
Yun-Peng Li   +2 more
doaj   +1 more source

Tangent-Chebyshev rational maps and Redei functions

open access: yesCoRR, 2021
Recently Lima and Campello de Souza introduced a new class of rational functions over odd-order finite fields, and explained their potential usefulness in cryptography. We show that these new functions are conjugate to the classical family of Redei rational functions, so that the properties of the new functions follow from properties of Redei functions.
Zhiguo Ding 0005, Michael E. Zieve
openaire   +2 more sources

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