Results 11 to 20 of about 131,870 (297)

The inverse hyperbolic tangent function and Jacobian sine function

Journal of Mathematical Analysis and Applications, 2017
A function \(f: I\to J\) is called \(H_{p,q}\)-convex, if \(f(H_p(x,y))\leq H_q(f(x),f(y))\) for any \(x\), \(y\) in \(I\), where \(H_k\) denotes the Hölder mean of order \(k\). Let \({\mathcal K}={\mathcal K}(r)\) be the complete elliptic integral of the first kind. By using the monotone form of l'Hôpital's rule, the author proves that the composition
Gendi Wang
semanticscholar   +5 more sources

A New Wavelet Thresholding Function Based on Hyperbolic Tangent Function

Mathematical 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, and parameters determined by trial and error.
Can He, Jianchun Xing, Juelong Li, Qiliang Yang, Ronghao Wang   +4 more
openaire   +3 more sources

Another Robust NMF: Rethinking the Hyperbolic Tangent Function and Locality Constraint

IEEE Access, 2019
Non-negative matrix factorization (NMF) is a classical data analysis tool for clustering tasks. It usually considers the squared loss to measure the reconstruction error, thus it is sensitive to the presence of outliers. Looking into the literature, most
Xingyu Shen, Xiang Zhang, Long Lan, Qing Liao, Zhigang Luo   +4 more
doaj   +2 more sources

Dynamics Research of the Hopfield Neural Network Based on Hyperbolic Tangent Memristor with Absolute Value [PDF]

Micromachines
Neurons in the brain are interconnected through synapses. Local active memristors can both simulate the synaptic behavior of neurons and the action potentials of neurons. Currently, the hyperbolic tangent function-type memristors used for coupling neural
Huiyan Gao, Hongmei Xu
doaj   +2 more sources

Advantages of Dual Hyperbolic Tangent Function Over Single Hyperbolic Tangent Function in Description of Hysteresis Loops

International Review of Electrical Engineering (IREE), 2016
If the mathematical description of the magnetic hysteresis loop branches should be simple, easy to use and should credibly describe the waveform magnetic hysteresis loop with a minimum number of parameters, then it inevitably leads to the description of magnetic hysteresis loop branches with a hyperbolic tangent function.
Barić, Tomislav, Boras, Vedran, Glavaš, Hrvoje   +2 more
openaire   +2 more sources

Multi-Scroll Chaotic Attractors in SC-CNN via Hyperbolic Tangent Function

Electronics (Switzerland), 2018
A State Controlled-Cellular Neural Network (SC-CNN) based chaotic model for generating multi-scroll attractors via hyperbolic tangent function series is proposed in this paper. After presenting the double scroll generation, the presented SC-CNN system is
Enis Günay, Kenan Altun
semanticscholar   +3 more sources

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

IEEE 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, Lin-Xuan Zhang, Zheng-Jie Feng   +2 more
doaj   +1 more source

Approximations of Tangent Polynomials, Tangent –Bernoulli and Tangent – Genocchi Polynomials in terms of Hyperbolic Functions

Journal of Applied Mathematics, 2021
Asymptotic approximations of Tangent polynomials, Tangent-Bernoulli, and Tangent-Genocchi polynomials are derived using saddle point method and the approximations are expressed in terms of hyperbolic functions. For each polynomial there are two approximations derived with one having enlarged region of validity.
Cristina B. Corcino, Roberto B. Corcino, Jay M. Ontolan   +2 more
openaire   +3 more sources

Sharp Coefficient Bounds for a New Subclass of q-Starlike Functions Associated with q-Analogue of the Hyperbolic Tangent Function

Symmetry, 2023
In this study, by making the use of q-analogous of the hyperbolic tangent function and a Sălăgean q-differential operator, a new class of q-starlike functions is introduced.
Chetan Swarup
semanticscholar   +1 more source

The exact solutions for the (3+1)-dimensional Boiti-Leon-Manna-Pempinelli equation

Results in Physics, 2021
In the paper, we study the Boiti-Leon-Manna-Pempinelli equation with (3 + 1) dimension. By using the modified hyperbolic tangent function method, we obtain more new exact solutions for the (3+1)-dimensional Boiti-Leon-Manna-Pempinelli equation, which ...
Xiaofang Duan, Junliang Lu
doaj   +1 more source