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Mathematics is a game played according to certain simple rules with meaningless marks on paper. D. Hilbert (January 23, 1862 – February 14, 1943)

317 is a prime, not because we think so, or because our minds are shaped in one way rather than another, but because it is, because mathematical reality is built that way. G.H. Hardy (February 7, 1877 - December 1, 1947), A Mathematician's Apology, 1940.

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14
Memoryless property and geometric distribution
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11
How many ways can seven people sit around a circular table?
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9
How did Euler realize $x^4-4x^3+2x^2+4x+4=(x^2-(2+\alpha)x+1+\sqrt{7}+\alpha)(x^2-(2-\alpha)x+1+\sqrt{7}-\alpha)$?
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9
Proof of a Ramanujan Integral
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9
Compute $\int_{0}^{1} \frac{\ln(x)}{(x+1)^2} \mathrm dx$
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9
Evaluate $\int_0^1 \frac{\log(1+x)}{x}$
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9
Why aren't the functions $f(x) = \frac{x-1}{x-1}$ and $f(x) = 1$ the same?
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9
Finding $\lim_{n\to \infty}\frac{1}{n^2}\left(e^{1/n^2}+2e^{2^2/n^2}+\cdots+ne^{n^2/n^2}\right)$
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8
I am trying to maximize an exponential function
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8
Why is $\int_0^{2\pi}{\sin x\over x}$ bigger than 0?
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8
If $\lim_{n\to\infty}\frac{1^a+2^a+...+n^a}{(n+1)^{a-1}.((na+1)+(na+2)+...+(na+n))}=\frac{1}{60}$, Find the value of a
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8
what is the expected value of $x^TAx$?
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8
Series Approximation How to evaluate $1/3+1/3(1/3)^3+1/5(1/3)^5+...$?
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8
Prove that $E(X) = \int_{0}^{\infty} P(X>x)\,dx = \int_{0}^{\infty} (1-F_X(x))\,dx$.
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8
Help to prove that : $\int_{0}^{1}\int_{0}^{1}{1-x\over 1-xy}\cdot{x\over \ln{(xy)}}dxdy={1\over 2}\ln{1\over 2}$
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7
Negative binomial distribution - sum of two random variables
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7
Evaluate the sum $\sum_{n=0}^\infty \frac{x^{2n+1}}{(2n+1)!}$
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7
How to calculate \sqrt{7+2\sqrt{10} } =
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7
$\lim_{n\to\infty }n\sin (\frac{1}{n^{2}+1})$
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6
Evaluation of $\int_0^1 \frac{x^3}{2(2-x^2)(1+x^2) + 3\sqrt{(2-x^2)(1+x^2)}}\,\mathrm dx$
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6
The sum of the squares is less than or equal to the square of the sums for all $n$
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6
What is the appropriate method to find the value of $1$ - $1\over 7$ + $1\over 13$ - ... upto infinite terms?
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6
CDF of max($X$, $Y$) - where is the mistake?
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6
Solve the system $x^2-3xy+2y^2+x-y=0$, $2x^2-2xy-3y^2-2x+5y=0$
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5
Prove that, $(2\cdot 4 \cdot 6 \cdot ... \cdot 4000)-(1\cdot 3 \cdot 5 \cdot ...\cdot 3999)$ is a multiple of $2001$
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5
Closed-form of integral $\int_0^1 \int_0^1 \frac{\arcsin\left(\sqrt{1-s}\sqrt{y}\right)}{\sqrt{1-y} \cdot (sy-y+1)}\,ds\,dy $
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5
Implementing Ornstein–Uhlenbeck in Matlab
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5
Solving for n in the equation $\left ( \frac{1}{2} \right )^{n}+\left ( \frac{1}{4} \right )^{n}+\left ( \frac{3}{4} \right )^{n}=1$
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5
Is there another simple way to solve this integral $I=\int\frac{\sin{x}}{\sin{x}+\cos{x}}dx$?
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5
$\int\limits_{0}^{\pi/2}\frac{1+2\cos x}{(2+\cos x)^2}dx$
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