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A Metric for the Entropic Purpose of a System. [PDF]

open access: yesEntropy (Basel)
Parker MC, Jeynes C, Walker SD.
europepmc   +1 more source
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Cauchy’s Residue Theorem

2011
In this lecture, we shall use Laurent’s expansion to establish Cauchy’s Residue Theorem, which has far-reaching applications. In particular, it generalizes Cauchy’s integral formula for derivatives (18.5), so that integrals that have a finite number of isolated singularities inside a contour can be integrated rather easily.
Ravi P Agarwal   +2 more
exaly   +2 more sources

Cauchy’s residue theorem

1992
Abstract This chapter continues the study of singularities and extends in a significant way the techniques stemming from Cauchy’s theorem for evaluating the integral of a function round a contour. The following lemma comes directly out of Laurent’s theorem and the Deformation theorem: it gives an integral formula for
exaly   +2 more sources

Applications of the infinite series of Cauchy residue theorem and its extensions

International Conference on Applied Statistics, Computational Mathematics, and Software Engineering (ASCMSE 2022), 2022
Yanjun Chen, Chuyu Hu, Shuxian Song
exaly   +2 more sources

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