Starry_Night

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How to interpret these combinatorics equations' combination meanings

Jun 9, 2022

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Let $f:\mathbb R^+\to\mathbb R$ be a continuous function satisfied $f(a)+f(b)\ge f(2\sqrt{ab})$ for all $a,b>0$ , is $f$ differentiable?

Jun 16, 2022

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Whether an ordered field $K$ equipped with the Nested Interval Property or The Cauchy Complete Property is an archimedean ordered field

Jun 9, 2022

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Evaluating $\binom{n}{0}\binom{n+1}{0}+\binom{n}{1}\binom{n+1}{1}+\ldots+\binom{n}{n-1}\binom{n+1}{n-1}+\binom{n}{n}\binom{n+1}{n}$

Jul 28, 2022

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