Results 141 to 150 of about 6,695 (326)
On Extended Beta Function and Related Inequalities
MathematicsIn this article, we consider a unified generalized version of extended Euler’s Beta function’s integral form a involving Macdonald function in the kernel. Moreover, we establish functional upper and lower bounds for this extended Beta function.
Rakesh K. Parmar +2 more
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Locally Adaptive Non‐Hydrostatic Shallow Water Extension for Moving Bottom‐Generated Waves
International Journal for Numerical Methods in Fluids, EarlyView.This study proposes a locally adaptive non‐hydrostatic model, which is based on the non‐hydrostatic extension of the shallow water equations (SWE) with a quadratic pressure relation, and applies it to wave propagation generated by a moving bottom. To obtain the locally adaptive model, we investigate several potential adaptivity criteria based on the ...
Kemal Firdaus, Jörn Behrens
wiley +1 more source
Complex Representatioin of Field-Forage-Ruminant Relationships using Symmetric Properties of Euler's Formula [PDF]
, 2003 Masataka Shimojo +10 more
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Laser &Photonics Reviews, EarlyView.The paper demonstrates a chip scale (4.5 x 4.5 mm2) silicon integrated system that is capable of distributing entangled photons over 160 km single mode fibers without dispersion compensations and external optical filters. The results highlight the potential for massive production and large‐scale deployed quantum integrated circuits for a future ...
Yue Qin, Hongnan Xu, Hon Ki Tsang
wiley +1 more source
Geometry of Enumerable Class of Surfaces Associated with Mylar Balloons
MathematicsIn this paper, the very fundamental geometrical characteristics of the Mylar balloon like the profile curve, height, volume, arclength, surface area, crimping factor, etc.
Vladimir I. Pulov +2 more
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The operator remainder in the Euler-Maclaurin formula
Aequationes Mathematicae, 1985 In previous papers the author gave an operator-theoretic form of the Euler-Maclaurin formula, in terms of a derivation D, an anti-derivation and a summation operator, these classes of operators being characterized by the functional equations which they satisfy. That formula contained a power series in odd powers of D.
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Topological Quasiparticles of Light: From Spin‐Orbit Coupling to Photonic Skyrmions
Laser &Photonics Reviews, EarlyView.This review summarizes recent advances in photonic skyrmions, emphasizing the central role of spin–orbit coupling in their formation. The review discusses how spin–orbit interactions generate skyrmionic textures, examines modulation strategies for their dynamic control, and provides an overview of emerging directions and opportunities where these ...
Xinrui Lei, Qiwen Zhan
wiley +1 more source
Metaplectic operators with quasi‐diagonal kernels
Mathematische Nachrichten, EarlyView.Abstract Metaplectic operators form a relevant class of operators appearing in different applications, in this work we study their Schwartz kernels. Namely, diagonality of a kernel is defined by imposing rapid off‐diagonal decay conditions, and quasi‐diagonality by imposing the same conditions on the smoothing of the kernel through convolution with the
Gianluca Giacchi, Luigi Rodino
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Multiple extensions of a finite Euler's pentagonal number theorem and the Lucas formulas
, 2007 Victor J. W. Guo, Jiang Zeng
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ON THE RECURRENCE FORMULA OF THE EULER ZETA FUNCTIONS
Journal of the Chungcheong Mathematical Society, 2016 In this paper, we find a new recurrence formula fo the Euler zeta functions.
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