I'll just give this simple example to illustrate my point: There exists a real number $x$ such that for every real number $y$, we have $xy=y$. If I w...

Take the following problem: You have 100 balls (50 black balls and 50 white balls) and 2 buckets. How do you divide the balls into the two buckets so as t...

I am trying to better understand how unique factorization of algebraic integers in an algebraic number ring implies that the class number of that number r...

In a race with 17 horses, how many different trifecta bets can be made. a trifecta is when you pick the first three finishers in the exact order.

Can you help me prove that: sin(A+B) = sinA cosB + cosA sinB? Thanks!

What is the difference between arithmetic and geometrical series? Also what are they? How do they look like?

I think part of the trouble a lot of people (or at least me personally) have with making the jump from calculus to stochastic calculus is the notion of qu...

This is not homework, class or a project. I've been out of college for some time now and decided to learn math on my own time. I can't figure ou...

I having problem how to find the differential surface element for a cylinder $x^2+y^2=r^2$ with height $l$. The surface have three parts; top, cylinder an...

The Fourier transform of Dirac delta is often naively calculated by considering Delta function as a function that makes sense within an integral and by us...