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 29 Hard combinatorics and probability question. 16 Why square a constant when determining variance of a random variable? 16 Is there a set non-countable around zero but countable elsewhere? 14 Evaluating $\lim_{n \to +\infty}\frac{1}{n}\left({\frac{n}{n+1} + \frac{n}{n+2} + \cdots + \frac{n}{2n}}\right)$ 11 Prove that ${ a }^{ 2 }+2ab+{ b }^{ 2}\ge 0$ without using $(a+b) ^{ 2 }$

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 5 Continuum hypothesis : Number of connected components of $A^c$ in $\Bbb R$ 3 Does it always exist an infinite subset of sequences that satisfy this property? 3 Proof that a sequence of set has a set dense somewhere in $[a,b]$ 2 Existence of an uncountable set of sequence 1 Does it exist a countable set such that any sequence with value in $\mathbb{N}$ is bounded by a sequence in this set?

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 236 real-analysis × 123 82 integration × 39 167 calculus × 68 76 probability × 24 93 sequences-and-series × 41 73 general-topology × 29 91 functional-analysis × 55 65 linear-algebra × 32 88 analysis × 43 48 functions × 24

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 35 What is that thing that keeps showing in papers on different fields? 11 Prove that there exist linear functionals $L_1, L_2$ on $X$ 9 A generalisation of Napoleon's theorem. Is this result original? 8 Not a small, not a big set 7 How to take the derivative of this strange alternative to a devil's slippery staircase?

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