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To prove the inequality:- $\frac{4^m}{2\sqrt{m}}\le\binom{2m}{m}\le\frac{4^m}{\sqrt{2m+1}}$
All subgroups normal $\implies$ abelian group
semi direct of quaternionic group
Conditional probability branching process
the generalized Liouville theorem
Give an example of two closed sets $A, B \subseteq \mathbb{R}$ such that the set $A + B $ is not closed
meaning of topology and topological space
Given any positive real numbers $a,b,c$, we have $(a^{2}+2)(b^{2}+2)(c^{2}+2)\geq 9(ab+bc+ca)$
Simplify $\int \frac{1}{\sqrt{2-x^2}}\, dx$
Demonstrate another way to solve the Inclusion–exclusion principle?
How many cards do you need to win this Set variant
Primes as quotients
Why fourier transformation use complex number?
Prove that if $\sum_{n=1}^{\infty} |a_n|$ converges and $(b_n)^{\infty}_{n=1}$ is a bounded sequence, then $\sum_{n=1}^{\infty} |a_nb_n|$ converges
Evaluating $\int_0^{\pi/4} \ln(\tan x)\ln(\cos x-\sin x)dx=\frac{G\ln 2}{2}$