There is a sequence with the values $0, 0, 0, 0, 1, 0, 0, 0, 0, 1, \ldots$ (basically there are always four 0s followed by a 1, then it repeats). Is there...

When I was in lower school I remember playing the Four $4$'s game and we got to around $10$. For those of you who don't know the Four $4$'s...

The polynomial $p(x) = 3 - 2x$ is a polynomial in an inner product space with the inner product defined as $$ \langle p, q \rangle = \int_0^1 p(x)q(x) \, ...

I was wondering if it is possible to multiply a 3D matrix (say a cube $n\times n\times n$) to a matrix of dimension $n\times 1$? If yes, then how. Maybe y...

Do you know a way to solve exactly a general sixth order polynomial equation: $x^{6}+a_{5}x^{5}+a_{4}x^{4}+a_{3}x^{3}+a_{2}x^{2}+a_{1}x+a_{0}=0$ ? Accordi...

I am a tourist of Graph theory but I have this problem I am trying to solve, part of a research objective connected to quantum computing. I am trying to u...

I've simplified $ABC+A'BC+AB'C+A'B'C'$ to $BC+AC+A'B'C'$. However, I want to go further to logic gates for wh...

In this link here it says that a cycle be decomposed a product of disjoint cycles. However say you consider the element of $S_4$ (The symmetric group of o...

How to judge whether two whatever is equal? alphat and alpha are two kind big vectors. Why it turns 0, which means they are not equal?

How many bit strings of length 5 do not have consecutive 1's? I'm trying to think of a way to calculate how many ways we can arrange a string of...