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App developer, Research Associate, and Mathematics Lecturer.


Sep
26
comment Why does being holomorphic imply so much about a function?
@Shakespeare The proof of the CR equations begins by thinking about all the possible directions. It can, however, be shown that the CR equations cover all such cases.
Sep
26
answered Why does being holomorphic imply so much about a function?
Sep
26
comment Can I use the residue calculus here?
@ Jack D'Aurizio I see what you mean now. However, I don't think this translates well from your original statement "replace $x$ with $\frac{1}{\log\log t}$." From that I get $t=e^{e^{1/x}}$, which gives $t=e$ for both $x=\pm\infty$, making the lower and upper bounds of the integral the same. Thanks for clarifying. +1.
Sep
26
comment Can I use the residue calculus here?
@ Jack D'Aurizio I don't think that substitution works...
Sep
26
revised Can I use the residue calculus here?
added 205 characters in body
Sep
26
reviewed Approve suggested edit on Proof that $|\sqrt{x}-\sqrt{y}| \leq \sqrt{|x-y|},\quad x,y \geq 0$
Sep
26
comment Can I use the residue calculus here?
@ Claude Leibovici I am curious as I have seen other problems of this type, and have never computed an inifinite double sum of residues before.
Sep
26
asked Can I use the residue calculus here?
Sep
25
revised There is at most one way to represent a number as $a+b\sqrt 2$ with rational $a,b$
added 4 characters in body
Sep
25
answered There is at most one way to represent a number as $a+b\sqrt 2$ with rational $a,b$
Sep
25
revised Find the first derivative $y=\sqrt\frac{1+\cosθ}{1-\cosθ}$
added 254 characters in body
Sep
24
awarded  Autobiographer
Sep
23
revised Bounds on the real and imaginary parts of the digamma function $\psi $
deleted 12 characters in body
Sep
23
reviewed Approve suggested edit on Derivation of Steepest Descent Direction used in Line Search Methods
Sep
23
reviewed Approve suggested edit on Finding the appropriate bounds of integration for this joint probability.
Sep
23
revised Bounds on the real and imaginary parts of the digamma function $\psi $
added 48 characters in body
Sep
23
revised Bounds on the real and imaginary parts of the digamma function $\psi $
added 48 characters in body
Sep
23
reviewed Approve suggested edit on Maxima of the function $\left \vert \int_{-1}^1 e^{i(ax+bx^2)}dx \right \vert$
Sep
22
accepted Bounds on the real and imaginary parts of the digamma function $\psi $
Sep
21
asked Bounds on the real and imaginary parts of the digamma function $\psi $