Petite Etincelle
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10,817
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1 13 43
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~53k people reached

 46 Where did the negative answer come from? 19 How to solve the inequality $x^2>10$ using square roots? 14 Inequality $\frac{1}{1^3}+\frac{1}{2^3}+\frac{1}{3^3}+\cdots+\frac{1}{n^3}<\frac{3}{2}$ 14 How prove this inequality $(1+\frac{1}{16})^{16}<\frac{8}{3}$ 12 Give a combinatorial argument

### Reputation (10,817)

 +10 Set of points at which sequence of measurable functions converge (another approach) +10 How to prove $\prod_{i=1}^{\infty} (1-a_n) = 0$ iff $\sum_{i=1}^{\infty} a_n = \infty$? +20 Prove by contradiction that $(n+1)^3 \not= n^3 +(n-1)^3$ for $3$ consecutive positive integers +10 Joint convergence in distribution

### Questions (15)

 13 Why is $\sum_{n=-\infty}^{\infty}\exp(-(x+n)^2)$ “almost” constant? 4 Show the following definition does not give a $\sigma$-addtive measure pathwisely 4 A Polish space which is not locally compact 3 interchange stochastic and deterministic integration 3 bounded measure and dense subset of continuous functions

### Tags (154)

 159 sequences-and-series × 48 82 algebra-precalculus × 10 124 real-analysis × 72 81 probability × 71 123 calculus × 51 75 probability-theory × 62 121 limits × 31 53 combinatorics × 18 105 inequality × 28 49 integration × 25

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 Mathematics 10,817 rep 11343 Area 51 151 rep 2 MathOverflow 126 rep 4 Stack Overflow 101 rep 2 Quantitative Finance 101 rep 1