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# 25 Accepts

 May 5 accepted Rudin or Apostol May 2 accepted What are k-cycles? Apr 28 accepted Proving continuity of $f$ Apr 5 accepted Group theory text Apr 2 accepted How to show $\int_{0}^{\frac{\pi}{2}} \cos^m x\sin^m x dx=2^{-m}\int_{0}^{\frac{\pi}{2}} \cos^m x dx$? Feb 29 accepted How to prove that $\frac{\cos\alpha}{\cos\beta}=a/b$ Jan 29 accepted Inequality regarding exponents(similar to Bernoulli's inequality) Jan 21 accepted Limit of a function satisfying an inequality Dec 29 accepted Possibility of constructing a desirable subset Dec 27 accepted Graph theory resource for mathematical Olympiads Dec 24 accepted Proving that an additive function $f$ is continuous if it is continuous at a single point Nov 13 accepted Finding positive real numbers $x$,$y$ and $z$ IMO Shortlist 1995 A4 Nov 11 accepted Finding pairs of integers such that $x^2+3y$ and $y^2+3x$ are both perfect squares Nov 10 accepted Proof of Spivak's statement that if $0<|x-a|<\delta$, then $|g(x)-m|< \min(\frac{|m|}{2},\frac{\epsilon|m|^2}{2})$ Nov 8 accepted Difficulty level of Courant's book Nov 7 accepted Counting ordered triples of non-negative integers not greater than 100 Nov 3 accepted How do I prove equality of x and y? Nov 3 accepted Question involving indices Sep 29 accepted $a,b,c>0 \text{ s.t. }a+b+c=1 \implies \sqrt{ab+c}+\sqrt{bc+a}+\sqrt{ca+b} \ge 1+ \sqrt{ab}+\sqrt{bc}+\sqrt{ca}$ Sep 29 accepted How can I prove it to be a well-defined binary operation?