I improved the section on computing partial derivatives which wasn't properly explained.https://twitter.com/bayesianbrain/status/1217992970743492610 …
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The mathematical analysis is short but it's a bit technical so I placed it in a separate blog post:https://keplerlounge.com/applied-math/2020/01/20/partial-derivative.html …
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What I gained from this analysis is that I can now confidently say that if the partial derivatives of F:R^n -> R exist and are continuous this compact function in the @JuliaLanguage should do the job:pic.twitter.com/ylndb3XUFc
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The Partial Derivatives section of the notebook has been updated:https://github.com/AidanRocke/AutoDiff/blob/master/cauchy_tutorial.ipynb …
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