# Luboš Motl

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bio website motls.blogspot.com location Czech Republic age 40 member for 2 years, 10 months seen Mar 12 at 7:48 profile views 2,419

Hi, I am a string theorist and a publicist.

# 259 Actions

 Jun11 answered Combinatorial proof that binomial coefficients are given by alternating sums of squares? Jun11 revised Question about Holomorphic functions added 159 characters in body; added 780 characters in body Jun11 comment Question about Holomorphic functions Pleasure. Maths is trivial - once it's proved. ;-) Jun11 answered Question about Holomorphic functions Jun10 comment p chance of winning tennis point -> what f(p) chance of winning game? Thanks for the great edits, @Chris! You're a co-author. ;-) That's exactly what I saw in Mathematica. Jun10 revised p chance of winning tennis point -> what f(p) chance of winning game? added 352 characters in body Jun10 answered p chance of winning tennis point -> what f(p) chance of winning game? Jun10 answered Integral of $\sqrt{1+\tan^2x}$ Jun10 answered Applications of systems of linear equations Jun10 answered evaluating a complex integral where the integrand is analytic within the contour but not necessarily analytic on the contour Jun10 answered How to find remainder modulo $n$, when $n$ is a large number Jun10 answered How to find the triangle matrix of a given matrix? Jun10 revised Is fourier series of a function with $e^{j\theta}$ replaced with a complex variable $z$ holomorphic on the unit disc? added 587 characters in body; added 97 characters in body; added 118 characters in body Jun10 answered Is fourier series of a function with $e^{j\theta}$ replaced with a complex variable $z$ holomorphic on the unit disc? Jun10 comment Finding power series representation of $\int_0^{\frac{\pi }{2}} \frac{1}{\sqrt {1 - k^2\sin^2{x}}}\;{dx}$ Sorry, @Asaf, where did you get the factor of $1/3$? What does it mean? Jun10 comment Finding power series representation of $\int_0^{\frac{\pi }{2}} \frac{1}{\sqrt {1 - k^2\sin^2{x}}}\;{dx}$ Be careful, if it is an exam problem and they will mechanically compare the result with a wrong official template, they may declare your correct answer incorrect and you will have to defend yourself - for which, I believe, you have all the weapons. Jun10 comment Question about direct sum of function space Dear @vonjd, your problem already starts with ${\mathbb R}^3$: the first sentence says that $V$ itself are functions from $U$ which is a subset of ${\mathbb R}^3$. $V$ itself are functions that take value in ${\mathbb R}$ and $V\oplus V\oplus V$ are functions from ${\mathbb R}^3$ to another ${\mathbb R}^3$. But functions from ${\mathbb R}$ never appear in your problem at all so I don't understand in what sense it would be "natural". Real numbers and their 3rd power are equally natural but only the latter appear in your problem. The tripling only affects the value of the function not the domain Jun10 awarded Enlightened Jun10 comment Finding power series representation of $\int_0^{\frac{\pi }{2}} \frac{1}{\sqrt {1 - k^2\sin^2{x}}}\;{dx}$ It's just a small digit "2" that someone missed, but you didn't. Maybe they thought it was a mark for a footnote. ;-) Jun10 revised Finding power series representation of $\int_0^{\frac{\pi }{2}} \frac{1}{\sqrt {1 - k^2\sin^2{x}}}\;{dx}$ added 329 characters in body; added 1 characters in body