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Aryabhata

Math.SE seems to be going the stackoverflow way. Pity.

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260
Evaluating the integral $\int_0^\infty \frac{\sin x} x \,\mathrm dx = \frac \pi 2$?
math.stackexchange.com

202
Comparing $\pi^e$ and $e^\pi$ without calculating them
math.stackexchange.com

162
Prove that $||x|-|y||\le |x-y|$
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111
Taking Seats on a Plane
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101
How to show that $\lim_{n \to +\infty} n^{\frac{1}{n}} = 1$?
math.stackexchange.com

86
Which one result in mathematics has surprised you the most?
math.stackexchange.com

86
$x^y = y^x$ for integers $x$ and $y$
math.stackexchange.com

83
Calculating the integral $\int_0^\infty \frac{\cos x}{1+x^2}\, \mathrm{d}x$ without using complex analysis
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78
Why is the area under a curve the integral?
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78
Recognizable vs Decidable
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69
Evaluating the nested radical $ \sqrt{1 + 2 \sqrt{1 + 3 \sqrt{1 + \cdots}}} $.
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67
Proof of $\lim_{n\to \infty} \sqrt[n]{n}=1$
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64
Is there an elementary proof that $\sum \limits_{k=1}^n \frac1k$ is never an integer?
math.stackexchange.com

63
How do I integrate the following? $\int{\frac{(1+x^{2})\mathrm dx}{(1-x^{2})\sqrt{1+x^{4}}}}$
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60
Root Calculation by Hand
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52
Why hasn't there been an encryption algorithm that is based on the known NP-Hard problems?
cs.stackexchange.com

48
In-place algorithm for interleaving an array
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48
If $(a_n)\subset[0,\infty)$ is non-increasing and $\sum_{n=1}^\infty a_n<\infty$, then $\lim\limits_{n\to\infty}{n a_n} = 0$
math.stackexchange.com

46
Are there integer solutions to $9^x - 8^y = 1$?
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45
Universal Chord Theorem
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43
Prove $\left(\frac{2}{5}\right)^{\frac{2}{5}}<\ln{2}$
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42
Identity involving Euler's totient function: $\sum \limits_{k=1}^n \left\lfloor \frac{n}{k} \right\rfloor \varphi(k) = \frac{n(n+1)}{2}$
math.stackexchange.com

42
$\lim\limits_{n \to{+}\infty}{\sqrt[n]{n!}}$ is infinite
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42
Ways to evaluate $\int \sec \theta \, \mathrm d \theta$
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41
Is there a function with a removable discontinuity at every point?
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41
What algorithm is used by computers to calculate logarithms?
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39
Major unsolved problems in theoretical computer science?
cstheory.stackexchange.com

39
Simpler way to compute a definite integral without resorting to partial fractions?
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39
Why does "convex function" mean "concave *up*"?
math.stackexchange.com

39
How to prove that: $\tan(3\pi/11) + 4\sin(2\pi/11) = \sqrt{11}$
math.stackexchange.com

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