I'm having some trouble proving a theorem of Neutral Geometry. First, allow me to clearly state what we are allowed to assume in Neutral Geometry: Hi...

What are the requirements of the six edges $a,b,c,d,e,$ and $f$ of a tetrahedron? I know for each face of the tetrahedron, the three edges must satisfy th...

In an episode of "Silicon Valley", one of the characters goes on a rant about how smart he is and cut his teeth on 'hex tables', and he says, "a...

This formula provides the $n$th term in the Fibonacci Sequence, and is defined using the recurrence formula: $u_n = u_{n − 1} + u_{n − 2}$, for $n > 1$...

Two cards are drawn without replacement from an ordinary deck, find the probability that the second is a red card, given the first is a red card. P (2nd R...

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...

I have an optimization problem where the objective function is $$\text{minimize}_{P \in S_n} ~~ \| PXP'-Y \|_1$$ over the set of permutation matrices...

I need to prove the following: Let $H$ be a finite set of at least three half-planes. We call a half-plane $h ∈ H$ redundant if it does not contribute an ...

So I have a vector $a =( 2 ,2 )$ and a vector $b =( 0, 1 )$. As my teacher told me, $ab = (-2, -1 )$. $ab = b-a = ( 0, 1 ) - ( 2, 2 ) = ( 0-2, 1-2 ) = ( -...

Well, all of us know the real numbers. $-1000<-122.34<-\pi^e<-\gamma<-0.00000001<-0.0000000000000000001 \in \mathbb{R}$ But if we continue this ...