Gautam Shenoy
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 26 Why is $i^3$ (the complex number “$i$”) equal to $-i$ instead of $i$? 16 Proving there are no integers $a, b, c$ satisfying $12a + 18b + 27c = 227$ 13 Prove that $\frac{mn}{1+m+n}\ge\frac{1}{3}$ for $m,n\in\mathbb{N}$ 10 $\lim_{R\rightarrow\infty} \int_0^R e^{x^2 - R^2}dx$ 9 (Dis)prove that $\sup(A \cap B) = \min\{\sup A, \sup B\}$

### Reputation (4,501)

 +40 Does $\sum 3^{-\sqrt{n}}$ converge or diverge? +5 GCD of $a+b$ and $\frac{a^p + b^p}{a+b}$ +10 Sum and product of integers conserving order +10 Doubt on Tail events and Kolmogorov Zero-One Law

### Questions (31)

 10 cosh x inequality 9 To show that $P(|X-Y| \leq 2) \leq 3P(|X-Y| \leq 1)$ 6 Showing $2^{n_2} + 3^{n_3}+\cdots+9^{n_9}$ is dense in $\mathbb{R}^+$ 6 Application of Central Limit Theorem 4 A question on Tight probability measures (regular measure)

### Tags (106)

 76 real-analysis × 35 26 fake-proofs × 2 46 calculus × 17 24 probability-theory × 26 35 probability × 28 24 algebra-precalculus × 8 34 elementary-number-theory × 9 21 inequality × 12 27 complex-numbers × 4 20 limits × 7

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 Mathematics 4,501 rep 829 Arqade 101 rep 3 Role-playing Games 101 rep 1 MathOverflow 101 rep 1