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Mathematics
Soham Chatterjee's user avatar
Soham Chatterjee's user avatar
Soham Chatterjee's user avatar
Soham Chatterjee
  • Member for 4 years, 3 months
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I am theoretical computer science enthusiast. I am mainly interested in Algebraic flavours of theory A part. I am currently trying to work in Coding theory and Algebraic Complexity Theory and also a little bit of Computational Topology

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question
9
Prove that if two persons do not know each other then they know the same number of people.
Aug 16, 2020
question
7
If $V_n(a)$ counts sign changes in the sequence $\cos a, \cos2a,\cos3a,\ldots,\cos na,$ show that $\lim_{n\to\infty}\frac{V_n(a)}n=\frac{a}\pi$
Aug 18, 2020
question
6
Let $f:\mathbb{R}\to(0,\infty)$ be a differentiable function. For all $x\in\mathbb{R}$ $f'(x)=f(f(x)).$ Then show that such function does not exists [duplicate]
Jul 20, 2020
question
6
There are $n$ sticks of length $\{1,2,3,\cdots,n\} $. how many incongruent triangles can be made using those sticks
Sep 2, 2020
question
5
If $a$, $b$, $c \geq 1$; $y \geq x \geq 1$; $p$, $q$, $r > 0$ Prove the insane inequality
Jun 9, 2020
question
4
Give $a,b,c>0.$ Prove that $\sum \sqrt[3]{\frac{a}{b+c}+\frac{b}{c+a}}\geq 3$
Jun 6, 2020
question
4
Let $a_2,a_3,\cdots,a_n$ be positive real numbers and $s=a_2+a_3+\cdots+a_n$. Show that $\sum\limits_{k=2}^na_k^{1-\frac{1}{k}}<s+2\sqrt{s}$
Jul 18, 2020
question
3
Let $a, b, c>0$. Prove that $\sum \limits_{cyc}{\frac{a}{b+c}\left(\frac{b}{c+a}+\frac{c}{a+b}\right)}\le \frac{(a+b+c)^2}{2(ab+bc+ca)}$
Jun 4, 2020
question
3
Let $ a_1,a_2,...,a_n$ be nonnegative real numbers ($ n\ge 3$).
Jun 5, 2020
question
3
Let $a,$ $b$ and $c$ are positive numbers.
Jun 5, 2020
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5
DET is $VQP-complete$ and also $DET\in VP$ Does that mean $VP=VQP$