I was looking at this website http://www.cwu.edu/~glasbys/POKER.HTM and I read the explanation for how to calculate the probability of getting a full hous...

This is a question from Bertsekas' Data Networks. It is question 2.2 on page 141. It is asking for the convolution of the following 2 functions. Func...

This question puts me in mind of the previous alike question beginning with tangent. So, tried to solve it using that method: if $\arccos(\frac{1}{9})=\al...

I would like to know about theorems which can give different proofs using completely different techniques. Motivation: When I read from the book Proof fro...

Let $P$ be a stochastic matrix and $E$ the $n\times n$ identity matrix. Assume that $P^q$ = $E$ for some integer $q \geq 2$, but $P \neq E$. Find a steady...

I had asked a question pertaining to Orlicz norms here. However, in the book I was reading, it said (and I paraphrase) "It's not difficult to show it...

Is there a mathematical term for raising a a number to the power of its own value.... eg. $5^5 , 1692^{1692}$. Many Thanks

What is the difference between terms and atomic formulae? I get contradicting advice from everywhere. On one hand I have got written if $t_1,\ldots,t_n$ a...

Consider the group $D_4$. Give examples of $D_4$ acting on a set. Attempt: So $|D_4| = 8$. I have come up with a few, but I was wondering what some people...

Let $$S := \pmatrix{A&B\\C&D}$$ If $A^{-1}$ or $D^{-1}$ exist, we know that matrix $S$ can be inverted. $$S^{-1} = \pmatrix{A^{-1}+A^{-1}B(D-CA^{-...