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Results tagged with definition
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user 12633
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History of the definition of complex derivative
Almost all of modern complex analysis (Cauchy residue theorem, analytic continuation, etc) depend on the definition of a complex derivative. … That definition requires the derivative at a point $z_0$ is the same no matter which direction the limit is taken to that point.
$$ f'(z_0)=\lim_{z \rightarrow z_0} \frac{f(z)-f(z_0)}{z-z_0}$$
This definition …
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