Results 51 to 60 of about 39,512 (228)

A novel family of generating distributions based on trigonometric function with an application to exponential distribution.

Journal of scientific research, 2021
—In this manuscript, we introduce a noval procedure for generating distributions based on the sine trigonometric function, and we called this procedure as the Sine Exponentiated Transformation (SET).
Anwar Hassan, I. Dar, M. Lone
semanticscholar   +1 more source

An equivalent single layer shear deformation plate theory with superposed shape functions for laminated composite plates

Archives of Mechanics, 2019
A single layer shear deformation plate theory with superposed shape functions for laminated composite plates has been proposed. Some of the previously developed, five degrees of freedom shear deformation theories, including parabolic [1], hyperbolic [2],
M. Aydogdu
doaj   +1 more source

Analytical Solutions of the Fractional Complex Ginzburg-Landau Model Using Generalized Exponential Rational Function Method with Two Different Nonlinearities

Advances in Mathematical Physics, 2023
The complex Ginzburg-Landau model appears in the mathematical description of wave propagation in nonlinear optics. In this paper, the fractional complex Ginzburg-Landau model is investigated using the generalized exponential rational function method. The
Ghazala Akram, Maasoomah Sadaf, M. Atta Ullah Khan, Hasan Hosseinzadeh   +3 more
doaj   +1 more source

Orthogonal polynomials of compact simple Lie groups [PDF]

, 2011
Recursive algebraic construction of two infinite families of polynomials in $n$ variables is proposed as a uniform method applicable to every semisimple Lie group of rank $n$.
Nesterenko, Maryna, Patera, Jiri, Tereszkiewicz, Agnieszka   +2 more
core   +3 more sources

The Cuttlebone Blueprint for Multifunctional Metamaterials: Design Taxonomy, Functional Decoupling, and Future Horizons

Advanced Functional Materials, EarlyView.
Cuttlebone‐inspired metamaterials exploit a septum‐wall architecture to achieve excellent mechanical and functional properties. This review classifies existing designs into direct biomimetic, honeycomb‐type, and strut‐type architectures, summarizes governing design principles, and presents a decoupled design framework for interpreting multiphysical ...
Xinwei Li, Zhendong Li
wiley   +1 more source

Analytical and Numerical Soliton Solutions of the Shynaray II‐A Equation Using the G′G,1G$$ \left(\frac{G^{\prime }}{G},\frac{1}{G}\right) $$‐Expansion Method and Regularization‐Based Neural Networks

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT Nonlinear differential equations play a fundamental role in modeling complex physical phenomena across solid‐state physics, hydrodynamics, plasma physics, nonlinear optics, and biological systems. This study focuses on the Shynaray II‐A equation, a relatively less‐explored parametric nonlinear partial differential equation that describes ...
Aamir Farooq, H. W. A. Riaz, Sadique Rehman, M. Mamun Miah, Wen Xiu Ma   +4 more
wiley   +1 more source

Implementation and Optimization of Extended Function Library Based on SW26010 Processor [PDF]

Jisuanji gongcheng, 2017
Intel,AMD and IBM have their vector extension libraries which accord with their own features.Compared with traditional scalar calculation,the speedup of vectorization technology is higher.Therefore,this paper develops a set of vector math library ...
CAO Dai,GUO Shaozhong,ZHANG Xin
doaj   +1 more source

Some extremal functions in Fourier analysis, III

, 2008
We obtain the best approximation in $L^1(\R)$, by entire functions of exponential type, for a class of even functions that includes $e^{-\lambda|x|}$, where $\lambda >0$, $\log |x|$ and $|x|^{\alpha}$, where $-1 < \alpha < 1$.
A. Selberg, A. Zygmund, D.S. Lubinsky, Emanuel Carneiro, F. Littmann, F. Littmann, H.L. Montgomery, J. Holt, J.D. Vaaler, J.T. Barton, Jeffrey D. Vaaler, M. Ganzburg, M. Ganzburg, M. Plancherel, R.M. Young, S.W. Graham, W. Rudin, X.J. Li   +17 more
core   +2 more sources

Loss Behavior in Supervised Learning With Entangled States

Advanced Quantum Technologies, EarlyView.
Entanglement in training samples supports quantum supervised learning algorithm in obtaining solutions of low generalization error. Using analytical as well as numerical methods, this work shows that the positive effect of entanglement on model after training has negative consequences for the trainability of the model itself, while showing the ...
Alexander Mandl, Johanna Barzen, Marvin Bechtold, Frank Leymann, Lavinia Stiliadou   +4 more
wiley   +1 more source

Abundant new computational wave solutions of the GM-DP-CH equation via two modified recent computational schemes

Journal of Taibah University for Science, 2020
This work employs two new modified computational schemes to find the exact travelling and solitary wave solutions of the general modified Degasperis-Procesi Camassa-Holm (DP CH) equation that is used to illustrate the dynamical behaviour of shallow water.
Mostafa M. A. Khater, Mustafa Inc, Raghda A. M. Attia, Dianchen Lu, Bandar Almohsen   +4 more
doaj   +1 more source