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 Apr 18 comment Maximum of an entire function Yes, your theorem is true. This is a proof by contradiction. Apr 17 comment rotating a matrix XKCD may be helpful in solving this question. xkcd.com/184 Apr 17 comment Is there a way to tell whether a paper has been rigorously peer-reviewed and is completely valid? If it's in an important magazine, other professionals have had a look, so you can be fairly sure years of study won't help reliability. Apr 17 comment Integral equation solution hint. Necessarily, $\lim_{x\to\infty}f(x)=0$, if that helps. Apr 17 comment Show that for a finite metric space A, every subset is open Viewing problems in a more general light can sometimes help. In this case, an abstract question (about open and closed sets) is asked, and I clarified it by the more intuitive understanding of discrete spaces. And apparently the question owner was helped. Apr 17 awarded Commentator Apr 17 comment Show that for a finite metric space A, every subset is open Well, I can't quite agree; mathematics is all about transformation of problem statements. In this case I transformed the problem into the direct application of a well-known theorem. Apr 17 answered Show that for a finite metric space A, every subset is open Apr 17 comment Generating $3\times 3$ Unitary Matrices close to the Identity You can try generating an orthonormal base, which will then be the rows or columns of your unitary matrix. Apr 17 comment Evaluating $\sqrt{6+\sqrt{6+\cdots}}$ @Julian, i'd say so too, but that's not what it said :) Apr 17 comment Evaluating $\sqrt{6+\sqrt{6+\cdots}}$ The questions asked are: 1. prove that $|x_{n+1}-3|\leq \frac{1}{5}|x_n-3|$. 2. prove that$|x_n-3|\leq \frac{1}{5}\exp(n-1)$. 3. conclude that $x_n$ converges to 3. Have I got this right? Apr 16 answered eventually increasing function? Apr 16 revised Does this inequality hold added 4 characters in body Apr 16 answered Does this inequality hold Apr 16 answered Prove that the integral of an odd step function on [-1,1] is 0 Apr 16 comment solving matrix equation I don't get the question. Let A=0, then surely no such X exists. Also, please remove those irrelevant tags. Apr 16 comment Is this Hermitian matrix positive definite? It is obviously true when $A$ is real. Apr 16 comment Every automorphism of $\mathbb{R}^n$ a linear mapping The answer is "no", but the way to prove that depends on your definition of automorphism, $\mathbb{R}^n$ and "linear mapping". Apr 16 revised Maximum of an entire function added 9 characters in body Apr 16 answered Maximum of an entire function