Results 11 to 20 of about 12,886 (197)
Non-Integer Valued Winding Numbers and a Generalized Residue Theorem
Journal of Mathematics, 2019 We define a generalization of the winding number of a piecewise C1 cycle in the complex plane which has a geometric meaning also for points which lie on the cycle.
Norbert Hungerbühler, Micha Wasem
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Taylor expansion and the Cauchy Residue Theorem for finite-density QCD [PDF]
Proceedings of The 36th Annual International Symposium on Lattice Field Theory — PoS(LATTICE2018), 2019 6 pages, 4 figures, talk presented at the 36th Annual International Symposium on Lattice Field Theory, July 22-28, 2018, East Lansing, MI ...
Forcrand, Philippe de, Jäger, Benjamin
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Extending valuations to the field of rational functions using pseudo-monotone sequences [PDF]
, 2021 Let $V$ be a valuation domain with quotient field $K$. We show how to describe all extensions of $V$ to $K(X)$ when the $V$-adic completion $\widehat{K}$ is algebraically closed, generalizing a similar result obtained by Ostrowski in the case of one ...
Peruginelli, Giulio, Spirito, Dario
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Cauchy Residue Theorem’s Application in Improper integrals
Highlights in Science, Engineering and Technology, 2023 Definite integrals are an essential tool for understanding and calculating many aspects of the natural world. An improper integral, one type of definite integral, has either an infinite interval or an integrand that is not defined at one or more points within the interval of integration.
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From duality to determinants for q-TASEP and ASEP [PDF]
, 2012 We prove duality relations for two interacting particle systems: the $q$-deformed totally asymmetric simple exclusion process ($q$-TASEP) and the asymmetric simple exclusion process (ASEP).
Borodin, Alexei +2 more
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Proof and Application of Cauchy’s Residue Theorem
Highlights in Science, Engineering and Technology, 2023 Complex analysis is a major subfield of mathematics that is concerned with investigating complex functions and their behaviors. The Cauchy’s residue theorem plays an important role in complex analysis. It is also the main focus for this paper. The residue theorem connects complex integrals of functions with their residues at singular points.
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Unitarity-Cuts, Stokes' Theorem and Berry's Phase [PDF]
, 2010 Two-particle unitarity-cuts of scattering amplitudes can be efficiently computed by applying Stokes' Theorem, in the fashion of the Generalised Cauchy Theorem. Consequently, the Optical Theorem can be related to the Berry Phase, showing how the imaginary
Mastrolia, Pierpaolo
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Cauchy’s residue theorem for a class of real valued functions [PDF]
Czechoslovak Mathematical Journal, 2010 6 ...
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Notes on extremal and tame valued fields [PDF]
, 2016 We extend the characterization of extremal valued fields given in [2] to the missing case of valued fields of mixed characteristic with perfect residue field. This leads to a complete characterization of the tame valued fields that are extremal.
Engler, Eršov, Fried, JIZHAN HONG
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About a non-standard interpolation problem [PDF]
, 2017 Using algebraic methods, and motivated by the one variable case, we study a multipoint interpolation problem in the setting of several complex variables.
Alpay, Daniel, Yger, Alain
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