Results 21 to 30 of about 12,175,996 (314)

Derivatives of tangent function and tangent numbers [PDF]

open access: yesApplied Mathematics and Computation, 2015
In the paper, by induction, the Faà di Bruno formula, and some techniques in the theory of complex functions, the author finds explicit formulas for higher order derivatives of the tangent and cotangent functions as well as powers of the sine and cosine functions, obtains explicit formulas for two Bell polynomials of the second kind for successive ...
Feng Qi
exaly   +4 more sources

Very High Accuracy Hyperbolic Tangent Function Implementation in FPGAs

open access: yesIEEE Access, 2023
The paper presents in detail a relatively simple implementation method of the hyperbolic tangent function, particularly targeted for FPGAs. The research goal of the proposed method was to examine the usage of the approximation of ordinary or Chebyshev ...
Zbigniew Hajduk, Grzegorz Rafal Dec
doaj   +2 more sources

Pre-service mathematics teachers’ nature of understanding of the tangent function

open access: yesJournal of Research and Advances in Mathematics Education, 2020
Mathematics teachers’ ability to translate and make connections between representations of functions requires investigation. Consequently, this qualitative case study article focuses on pre-service mathematics teachers’ nature of understanding of the ...
Priestly Malambo
doaj   +2 more sources

Finding the Values of Trigonometric Function without the Use of Scientific Calculators: The Case of Tangent Function. [PDF]

open access: yesEthiopian Journal of Science and Sustainable Development, 2023
In the realm of calculating trigonometric functions, computing the tangent function with a high degree of accuracy and precision without using scientific calculators has been an area of interest and importance.
Tole Fikadu Aga
doaj   +2 more sources

A novel active disturbance rejection control with hyperbolic tangent function for path following of underactuated marine surface ships

open access: yesMeasurement + Control, 2020
This paper presents a TADRC method via active disturbance rejection control (ADRC) with hyperbolic tangent function for path following of underactuated surface ships with input constraint, heading rate constraint, parameters uncertainties, as well as ...
Ronghui Li   +3 more
doaj   +2 more sources

Second-order lower radial tangent derivatives and applications to set-valued optimization [PDF]

open access: yesJournal of Inequalities and Applications, 2017
We introduce the concepts of second-order radial composed tangent derivative, second-order radial tangent derivative, second-order lower radial composed tangent derivative, and second-order lower radial tangent derivative for set-valued maps by means of ...
Bihang Xu, Zhenhua Peng, Yihong Xu
doaj   +2 more sources

Some properties of a class of holomorphic functions associated with tangent function

open access: yesDemonstratio Mathematica
In this study, we define new class of holomorphic functions associated with tangent function. Furthermore, we examine the differential subordination implementation results related to Janowski and tangent functions. Also, we investigate some extreme point
Khan Muhammad Ghaffar   +5 more
doaj   +2 more sources

Higher Derivatives of the Tangent and Inverse Tangent Functions and Chebyshev Polynomials [PDF]

open access: yes, 2020
The higher derivatives of the tangent and hyperbolic tangent functions are determined. Formulas for the higher derivatives of the inverse tangent and inverse hyperbolic tangent functions as polynomials are stated and proved. Using another formula for the higher derivatives of the inverse tangent function from literature, two known formulas for the ...
Kronenburg, M. J.
openaire   +3 more sources

On Analytic Univalent Function Associated With Tangent Hyperbolic Function [PDF]

open access: yesSahand Communications in Mathematical Analysis
Within this article, we propose some sufficient conditions for analytic functions correlated with tangent hyperbolic function. We investigate convolution conditions, integral conservation properties and coefficient sufficiency criteria for this family of
Gehan Elyazyd   +3 more
doaj   +2 more sources

A New Wavelet Thresholding Function Based on Hyperbolic Tangent Function

open access: yesMathematical Problems in Engineering, 2015
Thresholding function is an important part of the wavelet threshold denoising method, which can influence the signal denoising effect significantly. However, some defects are present in the existing methods, such as function discontinuity, fixed bias ...
Can He   +4 more
semanticscholar   +3 more sources

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