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Souvik Dey's user avatar
Souvik Dey's user avatar
Souvik Dey's user avatar
Souvik Dey
  • Member for 11 years, 10 months
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" The moving power of mathematical invention is not reasoning but imagination. "

— Augustus De Morgan

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20
Evaluate $\int_{0}^1 \prod_{k=2}^n \lfloor kx \rfloor dx$
Jun 18, 2014
20
If $f$ is continuous and $\,f\big(\frac{1}2(x+y)\big) \le \frac{1}{2}\big(\,f(x)+f(y)\big)$, then $f$ is convex [duplicate]
Nov 2, 2014
18
If $f:\mathbb{R}\to\mathbb{R}$ is continuous and $f(x)\neq x$ for all $x$, must it be true that $f(f(x))\neq x$ for all $x$?
Apr 23, 2013
15
$f(x+y) + f( f(x) + f(y) ) = f( f( x+f(y) ) + f( y+f(x) ) )$
Oct 17, 2012
13
Is a p-Sylow subgroup of the underlying additive group of a finite commutative ring an ideal?
Dec 12, 2016
13
Question about an upper bound on $\sum_{j=1}^n\frac 1{a_j}$
Oct 12, 2012
13
Proof check of sum of a compact and closed set of real numbers is closed
Oct 24, 2014
12
Verifying the inequality $\sum_{i=1}^n \frac{\cos y_i}{\sin x_i}≤ \sum_{i=1}^n\cot x_i $
Oct 17, 2013
11
$x,y,z$ positive real numbers , $x+y+z=3$ $\implies x^4y^4z^4(x^3+y^3+z^3)≤3$
Oct 9, 2013
11
Is every real valued function on an interval a sum of two functions with Intermediate Value Property?
Aug 2, 2014