Results 21 to 30 of about 20,364 (303)
Apply the contour integral on multivalued function from the complex plane
, 2022 This paper mainly intends to integrate the multivalued function on the complex plane by using contour integral. The improper integral of a single-valued function on the real plane is often difficult to solve directly.
Li, Yutong, Li, Haoru, Tang, Muyu
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Contour integration with corners
Vision Research, 2016 Contour integration refers to the ability of the visual system to bind disjoint local elements into coherent global shapes. In cluttered images containing randomly oriented elements a contour becomes salient when its elements are coaligned with a smooth global trajectory, as described by the Gestalt law of good continuation. Abrupt changes of curvature
Malte, Persike, Günter, Meinhardt
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Tribology Online, 2017 Euler’s belt formula for a fixed circular drum is well known and is an important formula for mechanical engineers. However, there is little book in which belt equation for a drum of any contour is discussed precisely.
Keiji Imado, Takefumi Otsu
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The heat equation on time scales [PDF]
Opuscula Mathematica, 2023 We present the use of a Fourier transform on time scales to solve a dynamic heat IVP. This is done by inverting a certain exponential function via contour integral. We include some specific examples and directions for further study.
Tom Cuchta, Rui A.C. Ferreira
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Mathematics, 2020 In this article, we propose a localized transform based meshless method for approximating the solution of the 2D multi-term partial integro-differential equation involving the time fractional derivative in Caputo’s sense with a weakly singular kernel ...
Kamran Kamran +3 more
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Ural Mathematical Journal, 2022 With a possible connection to integrals used in General Relativity, we used our contour integral method to write a closed form solution for a quadruple integral involving exponential functions and logarithm of quotient radicals.
Robert Reynolds, Allan Stauffer
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Reconstructing vectorised photographic images [PDF]
, 2009 We address the problem of representing captured images in the continuous mathematical space more usually associated with certain forms of drawn ('vector') images.
C.D. Taylor +5 more
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Optimality of Human Contour Integration
PLoS Computational Biology, 2012 For processing and segmenting visual scenes, the brain is required to combine a multitude of features and sensory channels. It is neither known if these complex tasks involve optimal integration of information, nor according to which objectives computations might be performed. Here, we investigate if optimal inference can explain contour integration in
Udo A. Ernst +5 more
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High-precision numerical estimates of the Mellin-Barnes integrals for the structure functions based on the stationary phase contour [PDF]
EPJ Web of Conferences, 2019 We present a recipe for constructing the effcient contour which allows one to calculate with high accuracy the Mellin-Barnes integrals, in particular, for the F3 structure function written in terms of its Mellin moments.
Sidorov Alexander +2 more
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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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