Results 91 to 100 of about 2,481 (254)
Generalizations of the Cauchy Integral Theorems
, 2011 We extend the Cauchy residue theorem to a large class of domains including differential chains that represent, via canonical embedding into a space of currents, divergence free vector fields and non-Lipschitz curves. That is, while the classical Cauchy theorems involve integrals over piecewise smooth parameterized curves, these classical theorems ...
Harrison, Jenny, Pugh, Harrison
openaire +2 more sources
Cauchy-Goursat theorem (variational approach) [PDF]
, 2010 In this article, we have presented a simple and un-conventional proof of a basic but important Cauchy-Goursat theorem of complex integral calculus. The pivotal idea is to sub-divide the region bounded by the simple closed curve by infinitely large number
Elfaki, Faiz Ahmed Mohamed +2 more
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Nonlinear nonlocal Cauchy problems in Banach spaces [PDF]
, 2005 The aim of this paper is to study the existence of integral solutions for an abstract nonlinear Cauchy problem with nonlocal initial conditions.
Aizicovici, Sergiu, Lee, Haewon
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Annals of Public and Cooperative Economics, EarlyView.Abstract Smallholder market participation studies often focus narrowly on selling decisions, overlooking the institutional role of agricultural cooperatives, particularly in contexts like Rwanda, where cooperatives underpin agricultural policy. Consequently, empirical evidence on how cooperative membership shapes farmers’ commercialization across ...
John N. Ng'ombe +3 more
wiley +1 more source
Real‐Time Conformal Maps and Parameterizations
Computer Graphics Forum, EarlyView.Abstract We present a simple algorithm to conformally map between two simple and bounded planar domains based on the concept of harmonic measure, which is a conformal invariant. With suitable preprocessing, the algorithm is fast enough to compute all possible conformal maps (having three real degrees of freedom) between the two domains in real time in
Q. Chang, C. Gotsman, K. Hormann
wiley +1 more source
Analytic functions without Cauchy integral theorem [PDF]
, 1968 Cauchy's Theorem. Let R be a simply connected domain and f a function on R to E[squared] which is differentiable over R. Let C be any closed rectifiable curve in R. Then I [integral][lowerd C]f(z)dz = 0.
Mocega, Esther E.
core
A Cauchy-Pompeiu formula in super Dunkl-Clifford analysis [PDF]
, 2017 summary:Using a distributional approach to integration in superspace, we investigate a Cauchy-Pompeiu integral formula in super Dunkl-Clifford analysis and several related results, such as Stokes formula, Morera's theorem and Painlevé theorem for super ...
Yuan, Hongfen
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Hyperspectral tomographic diffractive microscopy: Development and applications
Journal of Microscopy, EarlyView.Abstract Tomographic Diffractive Microscopy (TDM) provides label‐free three‐dimensional imaging of transparent samples with resolution surpassing confocal limits. At IRIMAS, successive instrumental developments since 2009 have enhanced TDM capabilities through transmission, reflection, isotropic, polarisation‐sensitive, and dual‐view configurations ...
Leonardo Pestana Legori +4 more
wiley +1 more source
Methods for solving a singular integral equation with Cauchy kernel on the real line [PDF]
, 2020 We study exact and approximate methods for solving a singular integral equation with Cauchy kernel on the real line. On the basis of the theory of positive operators, we prove an existence and uniqueness theorem for this equation in the space of Lebesgue
Tikhonov I., Gabdulkhaev B.
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Robust CDF‐Filtering of a Location Parameter
Journal of Time Series Analysis, EarlyView.ABSTRACT This paper introduces a novel framework for designing robust filters associated with signal plus noise models having symmetric observation density. The filters are obtained by a recursion where the innovation term is a transform of the cumulative distribution function of the residuals.
Leopoldo Catania +2 more
wiley +1 more source