GEdgar

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bio	website	math.ohio-state.edu/~edgar
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	19,038 reputation	bio	website	math.ohio-state.edu/~edgar	visits	member for	2 years, 10 months
11853 badges		location	Denver, CO		seen	8 mins ago

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4m	answered	Infinite sum convergence $ \sum_{i\geq 1}\frac{1}{x^i-y^i}$
23m	comment	Is the following set empty? Yes, the dimension of any space (in this case zero) is the cardinal of any basis (in this case, the empty set).
18h	answered	Solutions of $x\frac{\partial \psi}{\partial x} + y \frac{\partial \psi}{\partial y} + \psi = f(x)e^{-2\pi i y}$?
1d	comment	Measurability is true? Do you know some limit theorems for integrals? Can you find one that fits this situation?
1d	comment	Integral sign with circle (AND arrow on the circle) through it Any notation is used however the author chooses to use it. Of course is can mean a non-closed curve. I would not use it that way, but so far Congress has not outlawed that use!
2d	comment	Does it make sense to talk about the concatenation of infinite series? ALSO: mathematicians use the word "series" for a sum of terms. You are not using it that way.
2d	comment	Riemann integral and Lebesgue integral The integral on the right is a Riemannn integral, since the integrand is a nonincreasing function.
2d	comment	A Question about Doctoral Theses in Mathematics Yes, this fits best in a "discussion" forum, and not in a "question and answer" forum.
2d	comment	Polynomial Equations for the Rank of a Power of a Matrix For a $1\times 1$ matrix, you expect $x \ne 0$ to be the solution set of some polynomial equation? Probably rank $\le k$ will be possible, though.
2d	comment	Question about Lambert W function Maybe more practical: solve $x^x=11$ numerically for $x$ using Newton's method.
2d	revised	Question about Lambert W function added 1610 characters in body
May 21	comment	Question about Lambert W function I'd use the Corless et al reference in another answer: math.stackexchange.com/a/398435/442
May 21	revised	Question about Lambert W function added 151 characters in body
May 21	answered	Question about Lambert W function
May 21	answered	what is exactly analytic continuation of the product log function
May 21	comment	Prove that $\int_{-\infty}^{\infty} \sin x \, dx = 0 $ As pointed out in the comments, as an improper Riemann integral it diverges. Also, as a Lebesgue integral it diverges. If mathematicians write an integral, it is generally one of these two. So: anyone who claims the answer is zero should say what integral THEY are using.
May 21	comment	convergence of series question This seems to come from a textbook. Just before this there should be some explanation and examples computed of similar type.
May 20	comment	How to evaluate the integral $\int e^{x^3}dx $ This answer seems correct for $x<0$.
May 20	comment	Convolution of r.v.'s Do the case $N=2$. Write down the definition of $F_{X_1+X_2}$. What do you get?
May 20	comment	What is $\int x^re^xdx$? Maple expresses $\int x^r e^x dx$ in terms of the incomplete Gamma function, but only because that is essentially the definition.