Let $(X,\mathcal{H})$ be a measurable space. A measure on $(X,\mathcal{H})$ is a function $\mu : \mathcal{H} \rightarrow [0, \infty]$ such that $\mu(\empt...

I'm having trouble understanding strong induction proofs I understand how to do ordinary induction proofs and I understand that strong induction proo...

This question should be an easy one :) I couldn't find it already in stackexchange so thought it would be worth asking. As I understand it: A Maximal...

As per this article: https://stackoverflow.com/questions/4317414/polynomial-time-and-exponential-time we know that exponential is worse than polynomial in...

I think is is 12 choose 3 minus 12, because that is the number of triangles that share a side with the polygon. Is that correct?

How many 8-permutation are there of the letters of the word 'ADDRESSES'? My textbook suggests that we should divide the situation into cases whe...

This question was asked before but I have a lot of trouble understanding the answers given. Why is it that a number selected at random between 1 and 100 c...

OK, I am having a real problem with this and I am desperate. I have a set of vectors. {(1,0.-1), (2,5,1), (0,-4,3)} How do I check is this is a basis for ...

I apologize if this has already been answered, but I've seen multiple examples of how to compute Jordan Canonical Forms of a matrix, and I still don&...

A game called 2048 is making rounds on social media. I am trying to determine the maximum score attainable for this game. Let's assume WLOG that only...