Mathematics
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Element118

Apparently, this user prefers to keep an air of mystery about them.

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  • Member for 5 years, 5 months
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15 When is $\displaystyle\sum_{i=1}^n a_i^{-2}=1$? Jun 20 '16
10 Find $a,b$ for which $xyz+z=a,\quad xyz^2+z=b,\quad x^2+y^2+z^2=4$ has unique solution Dec 30 '15
7 Maximising shortest path passing through $n$ points inside a bounded region Oct 26 '15
6 How do you derive the formula of $\sin (a+b)$ from $\cos(a+b)=\cos(a)\cos(b)-\sin(a)\sin(b)$ Nov 14 '15
6 What is the remainder when $1^6 + 2^6 + 3^6 + … + 99^6 + 100^6$ is divided by 5? Nov 18 '15
5 The number of real roots of the equation $1+a_1x+a_2x^2+…+a_nx^n=0$ where $|x|<\frac{1}{3}$ and $|a_i|<2 \forall i=1,2,3…,n$ is Dec 27 '15
5 Picking random integers $a_i$ until the $\gcd(a_1,a_2,\dots,a_n)$ is 1 Oct 11 '15
4 Find expected value of a dice experiment Dec 30 '15
4 Calculating $a_1^4+a_2^4+a_3^4$ of the roots of a polynomial Jan 16 '16
4 Find $\lim_{n\to \infty}r_n$ and $\lim_{n\to \infty}s_n$ Dec 30 '15
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