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Top Questions

Continued fraction in 8th root---— any simpler approach?

contest-math fractions continued-fractions asked Jun 30 '17 at 5:43

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Balls and vase $-$ A paradox?

infinity philosophy paradoxes asked May 23 '17 at 8:20

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How to prove or falsify this inequality?

calculus integration derivatives inequality integral-inequality asked May 22 '17 at 7:11

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What is the intuition behind Hua’s proof of the Cartan-Brauer-Hua theorem?

abstract-algebra ring-theory intuition division-ring asked Aug 25 '19 at 3:07

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Top Answers

Let $T$ be any subset of $\{1,2,3,…,100\}$ with $69$ elements. Prove that one can find four distinct integers such that $a+b+c=d$.

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Prove that every permutation is the product of disjoint cycles

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How do you prove the following formula $\binom{n+i-1}{n} = \sum\limits_{k=0}^{n}\binom{i-1}{k} \binom{n}{k}\ $?

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The Minkowski sum of two convex sets is convex

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Combinatorial proof of the identity

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Evaluate: $\lim_{\theta \to \frac {\pi}{4}} \dfrac {\cos \theta - \sin \theta}{\theta - \frac {\pi}{4}}$

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Confirm that the identity $1+z+…+z^n=(1-z^{n+1})/(1-z)$ holds for every non-negaive integer $n$ and every complex number $z$, save for $z=1$

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