I didnt understand the truth table for $p \implies q$ (where $p$ and $q$ are statements). Can someone please explain it to me? It would be better if someo...

There are lots (an infinitude) of smooth functions that coincide with $f(n)=n!$ on the integers. Is there a simple reason why Euler's Gamma function ...

Just out of curiosity, I was wondering if anybody knows any methods (other than the integral test) of proving the infinite series where the nth term is gi...

It seems to me that the running time to make a complement of a graph with $n$ nodes is $n!$. Is there any way to make this running time polynomial? That i...

So for my weekly homework assignment for my probability class, there is a question that I am unsure about. Typically, a question usually begins with somet...

How do I remember Implication Logic $(P \to Q)$ in simple English? I read some sentence like If $P$ then $Q$. $P$ only if $Q$. $Q$ if $P$. But I am unable...

I try to find a good proof for invertibility of strictly diagonally dominant matrices (defined by $|m_{ii}|>\sum_{j\ne i}|m_{ij}|$). There is a proof o...

By iterative algorithm, I mean a numerical algorithm that works by improving on a previous approximation to obtain a more accurate approximation. An examp...

It is known that a chain map $f_\bullet$ between chain complexes $(A_\bullet, d_{A,\bullet})$ and $(B_\bullet, d_{B,\bullet})$ induces a homomorphism $$(f...

I am trying to prove: If a sequence is monotone and bounded then it converges. My idea is: Assume $a_n$ is monotone and not converges and then show that i...