Results 41 to 50 of about 203,974 (250)

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

A fundamental equation

Lietuvos Matematikos Rinkinys, 2017
Very important and instructive trigonometric equation is considered. The solutions from different manuals and reference books are examined, mistakes of these solutions are discovered.
Juozas Juvencijus Mačys, Jurgis Sušinskas   +1 more
doaj   +1 more source

$osp(1|2)$ off-shell Bethe ansatz equation with boundary terms

, 2006
This work is concerned with the quasi-classical limit of the boundary quantum inverse scattering method for the $osp(1|2)$ vertex model with diagonal $K$-matrices.
A Lima-Santos, Abdalla E, Artz S, Babujian H M, Baxter R J, Behrend R E, Faddeev L D, Gaudin M, Gaudin M, Gould M D, Hikami K, Korepin V E, Kurak V, Kurak V, Lima-Santos A, Mezincescu L, Reshetikhin N Varchenko A, Semenov-Tyan-Shanskii M A, Sklyanin E K, von Delft J Braun F   +19 more
core   +1 more source

GENERALIZED GUDERMANNIAN FUNCTION

Проблемы анализа, 2018
Wilker and Huygens-type inequalities involving generalized Gudermannian function and its inverse function are established. These results are obtained with the aid of the p-version of the Schwab-Borchardt mean.
Neuman Edward
doaj   +1 more source

Exact results for a fractional derivative of elementary functions

SciPost Physics, 2018
We present exact analytical results for the Caputo fractional derivative of a wide class of elementary functions, including trigonometric and inverse trigonometric, hyperbolic and inverse hyperbolic, Gaussian, quartic Gaussian, and Lorentzian ...
Gavriil Shchedrin, Nathanael C. Smith, Anastasia Gladkina, Lincoln D. Carr
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Transient Pressure-Driven Electroosmotic Flow through Elliptic Cross-Sectional Microchannels with Various Eccentricities

Computation, 2021
The semi-analytical solution for transient electroosmotic flow through elliptic cylindrical microchannels is derived from the Navier-Stokes equations using the Laplace transform.
Nattakarn Numpanviwat, Pearanat Chuchard
doaj   +1 more source

Symmetry group analysis of an ideal plastic flow

, 2011
In this paper, we study the Lie point symmetry group of a system describing an ideal plastic plane flow in two dimensions in order to find analytical solutions. The infinitesimal generators that span the Lie algebra for this system are obtained.
Chakrabarty J., Czyz J., Hill R., Janenko N. N., Katchanov L., Ovsiannikov L. V., Vincent Lamothe   +6 more
core   +1 more source

Zero curvature representation for classical lattice sine-Gordon equation via quantum R-matrix [PDF]

, 1997
Local M-operators for the classical sine-Gordon model in discrete space-time are constructed by convolution of the quantum trigonometric 4$\times$4 R-matrix with certain vectors in its "quantum" space. Components of the vectors are identified with $\tau$-
A. G. Izergin, A. V. Zabrodin, A. Weinstein, E. Date, E. K. Sklyanin, E. K. Sklyanin, K. Ueno, L. Faddeev, L. Faddeev, M. Jimbo, R. Hirota, R. Hirota, R. Hirota, T. Miwa, V. Tarasov, V. Zakharov   +15 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

INEQUALITIES FOR EIGENFUNCTIONS OF THE P-LAPLACIAN [PDF]

Проблемы анализа, 2013
Motivated by the work of P. Lindqvist, we study eigenfunctions of the one-dimensional p-Laplace operator, the sinp functions, and prove several inequalities for these and p-analogues of other trigonometric functions and their inverse functions.
VUORINEN M, BHAYO B. A
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