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Saturday, August 17, 2019
Estimating a sum with Probability
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Let's say we want to find the the sum $S=\displaystyle\sum_{k=1}^nf(k)$ but we don't have a closed form or any easier way to ...
Thursday, June 6, 2019
(A family of) Integrals independent of a parameter
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I recently came across a very nice wordpress page . There are a plenty of nice math in that page that I thoroughly enjoyed, especially ...
Saturday, October 27, 2018
German Tank problem
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I was recently watching How to estimate a population using statisticians in Youtube and this reminded of the German tank problem. The...
Monday, April 30, 2018
The Birthday Problem
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The Birthday problem is one of the classic problems in Probability theory concerning the probability that, in a set of $n$ randomly ch...
Tuesday, April 24, 2018
Probability on a Chess Match
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Consider two friends $A$ and $B$ playing a series of bullet chess games. As every time the player who lost the recent game wants to con...
A List of Integrals and Identities
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A list the integrals and identities used in solving the problem in this post . Throughout this post we consider $0<\alpha, \gamma,...
Thursday, April 19, 2018
A mild generalization of the Ménage problem
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We all know about the classic Ménage problem which for the number of different ways in which it is possible to seat a set of male-fema...
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