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Winding Numbers and Meromorphic Functions Explained Complex Variables
>> YOUR LINK HERE: ___ http://youtube.com/watch?v=tV1z4gIET8I
In this video, I explain the concepts of #WindingNumber and #MeromorphicFunctions. I begin the video by defining the argument of a complex function, which leads nicely to a definition and explanation of meromorphic functions. • I describe meromorphic functions as lying in the middle of the spectrum of continuity (between frankly discontinuous functions and perfectly continuous functions). I then define and give the intuition of the winding number, both for typical curves and for functions. • Questions/requests? Let me know in the comments! • Pre-reqs: Every video before this one in my #ComplexVariables playlist: • Complex Variables and Functions • Lecture Notes: https://drive.google.com/open?id=1vr6... • Patreon: https://www.patreon.com/user?u=4354534 • Twitter: / facultyofkhan • Special thanks to my Patrons: • Cesar Garza • Daigo Saito • Alvin Barnabas • Damjan • Yenyo Pal • Lisa Bouchard • Patapom • Gabriel Sommer • Eugene Bulkin • Adam Pesl • Yiu Chong • René Gastelumendi
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