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Someone in our puzzle group recently posted a question which asked to evaluate the following sum. $$\frac{1}{e^{\pi}+1}+\frac{3}{e^{3\pi}+1}...

Toricelli's law states that the velocity of a discharge, say $v$, located at the bottom of a tank filled to a height $h$ is $v=\sqrt{2g...

This post picks up where we left earlier . In addition to the centre of circumcircle of $\triangle KDL$, the midpoint of the segment $KL$ al...

Consider two circles of different radii intersecting at $B$ and $D$. If we now draw a line $KL$ through $B$ as shown in the following figure...

The problem of finding the expected number of standard Uniform variables to get a sum greater than 1 is quite famous. In this post, we deal ...

One of my friends recently posed the problem of finding the expected number of uniform random variables needed to get a sum greater than $1$...

I was recently looking at Eulerian numbers for a problem and I noticed a nice, and probably lesser/never known, property on their recursive ...