Results 21 to 30 of about 17,453 (264)
A novel proof of two partial fraction decompositions
Advances in Difference Equations, 2021 In this paper, by constructing contour integral and using Cauchy’s residue theorem, we provide a novel proof of Chu’s two partial fraction decompositions.
Jun-Ming Zhu, Qiu-Ming Luo
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Numerical Contour Integration [PDF]
The Mathematica Journal, 2021 We present a straightforward implementation of contour integration by setting options for Integrate and NIntegrate, taking advantage of powerful results in complex analysis. As such, this article can be viewed as documentation to perform numerical contour integration with the existing built-in tools.
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Simultaneous Contour Method of a Trigonometric Integral by Prudnikov et al.
Mathematics, 2021 In this present work we derive, evaluate and produce a table of definite integrals involving logarithmic and exponential functions. Some of the closed form solutions derived are expressed in terms of elementary or transcendental functions.
Robert Reynolds, Allan Stauffer
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Anti-Plane Surface Disturbance
International Islamic University Malaysia Engineering Journal, 2012 Solution to a problem of half-space subjected to anti-plane surface disturbance via Cagniard-de Hoop method has been investigated. The solution is very much dependent on the choice of branch cuts, branches, and their behavior along the appropriate ...
M. Azram
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Note on a -Contour Integral Formula of Gasper-Rahman
Abstract and Applied Analysis, 2013 We use the -Chu-Vandermonde formula and transformation technique to derive a more general -integral equation given by Gasper and Rahman, which involves the Cauchy polynomial.
Jian-Ping Fang
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Analysis of Steady Vortex Rings Using Contour Dynamics Method for the Stream Function
한국해양공학회지, 2020 In this study, the Norbury-Fraenkel family of vortex rings is analyzed using a contour dynamics method for the stream function, which significantly reduces the numerical burden in the calculation.
Yoon-Rak Choi
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Contour integration across depth
Vision Research, 1995 In order to investigate the extent of the local connections subserving contour integration across depth, we measured performance for detecting the continuity of a path of Gabor elements distributed in depth and embedded in a three-dimensional field of random background elements.
Hess, Robert F., Field, David J.
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Context influences contour integration
Journal of Vision, 2009 Much research over the last decade has examined how the brain links local activity within primary visual cortex to signal the presence of extended global structure. Here we bring together two themes within this area by addressing how the immediate context that features arise in influences how they are integrated into contours.
Steven C, Dakin, Nina J, Baruch
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Achieving Drag Reduction with Hullform Improvement in Different Optimizing Methods
International Journal of Technology, 2020 In general, evaluation of ship hydrodynamic efficiency could be produced by an energy-efficient and concentrated cost function. An optimization method with the representation of hull geometry is one of the preliminary design steps that are most ...
Wiwin Sulistyawati, Purwo Joko Suranto
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On the Free Vibrations of Non-Classically Damped Locally Resonant Metamaterial Plates
Nanomaterials, 2022 In this paper, the focus is on the free vibrations of locally resonant metamaterial plates with viscously damped resonators. Upon formulating a dynamic-stiffness model where the resonators are represented via pertinent reaction forces depending on the ...
Andrea Francesco Russillo +3 more
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