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Evaluating Winding Numbers and Counting Complex Roots Through Cauchy Indices in Isabelle/HOL

In complex analysis, the winding number measures the number of times a path (counter-clockwise) winds around a point, while the Cauchy index can approximate how the path winds. We formalise this approximation in the Isabelle theorem prover, and provide a tactic to evaluate winding numbers through Ca...

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Detalhes bibliográficos
Publicado no:J Autom Reason
Main Authors: Li, Wenda, Paulson, Lawrence C.
Formato: Artigo
Idioma:Inglês
Publicado em: Springer Netherlands 2019
Assuntos:
Acesso em linha:https://ncbi.nlm.nih.gov/pmc/articles/PMC6995451/
https://ncbi.nlm.nih.gov/pubmed/32063661
https://ncbi.nlm.nih.govhttp://dx.doi.org/10.1007/s10817-019-09521-3
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