achille hui

Hong Kong

Look deep into my icon, you will see the answer.

Take a prime that's not a prime, what needs to make it ninety nine.

L'enfer est plein de bonnes volontés ou désirs - sci.math has been killed by crackpots, I predict math.SE will be killed by over-spontaneous-moderation (2018/12/10)

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Top Answers

Conjecture $\int_0^1\frac{\mathrm dx}{\sqrt{1-x}\ \sqrt[4]x\ \sqrt[4]{2-x\,\sqrt3}}\stackrel?=\frac{2\,\sqrt2}{3\,\sqrt[8]3}\pi$

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Is $0.1010010001000010000010000001 \ldots$ transcendental?

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Integral $\int_0^1\frac{\ln\left(x+\sqrt2\right)}{\sqrt{2-x}\,\sqrt{1-x}\,\sqrt{\vphantom{1}x}}\mathrm dx$

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Does non-symmetric positive definite matrix have positive eigenvalues?

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What are some examples of mathematics that had unintended useful applications much later?

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Conjecture $\int_0^1\frac{dx}{\sqrt[3]x\,\sqrt[6]{1-x}\,\sqrt{1-x\left(\sqrt{6}\sqrt{12+7\sqrt3}-3\sqrt3-6\right)^2}}=\frac\pi9(3+\sqrt2\sqrt[4]{27})$

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Find $xy+yz+zx$ given systems of three homogenous quadratic equations for $x, y, z$

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Why does Wolframalpha think that this sum converges?

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How does one [easily] calculate $\sum\limits_{n=1}^\infty\frac{\mathrm{pop}(n)}{n(n+1)}$?

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Prove that there exists a triangle which can be cut into 2005 congruent triangles.

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Is there a fast way to prove a tridiagonal matrix is positive definite?

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Evaluating $\int_{0}^{1}\cdots\int_{0}^{1}\bigl\{\frac{1}{x_{1}\cdots x_{n}}\bigr\}^{2}\:\mathrm{d}x_{1}\cdots\mathrm{d}x_{n}$

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A strange integral: $\int_{-\infty}^{+\infty} {dx \over 1 + \left(x + \tan x\right)^2} = \pi.$

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Conflicting limit answers using calculator and wolfram alpha

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Can you complete the expression $2 \underline{ }\, \underline{ }\, \underline{ } \,\underline{ } 5 = 2015$?

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Is Tolkien's Middle Earth flat?

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Find large power of a non-diagonalisable matrix

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How prove this matrix $\det (A)=\left(\frac{1}{\ln{(a_{i}+a_{j})}}\right)_{n\times n}\neq 0$

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A very different property of primitive Pythagorean triplets: Can number be in more than two of them?

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Geometry problem involving infinite number of circles

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What's the limit of $\sqrt{2 + \sqrt{2-\sqrt{2+\sqrt{2-\sqrt{2-\sqrt{2 + ...}}}}}} $?

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Find $x,y,z>0$ such that $x+y+z=1$ and $x^2+y^2+z^2$ is minimal

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An exotic sequence

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Can multiples of two reals stay separated?

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How to evaluate $\int_{0}^{+\infty}\exp(-ax^2-\frac b{x^2})\,dx$ for $a,b>0$

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Summation of an infinite Exponential series

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How to compute $\int_{-\infty}^\infty\exp\left(-\frac{(x^2-13x-1)^2}{611x^2}\right)\ dx$

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Find five positive integers whose reciprocals sum to $1$

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Gauss-divergence theorem for volume integral of a gradient field

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Evaluate $\int_0^{\infty} {\sin(\tan(x)) \over x}dx$

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