The Rocky Mountain Journal of Mathematics, Vol. 17, No. 2 (SPRING 1987), pp. 371-384 (14 pages) Let Cn(x; β\q) be the continuous q-ultra-spherical polynomial and Dn(x; β\q) be the q-ultraspherical ...

Important update, Jan. 17 at 18:00 UTC: There have been a lot of objections raised about the video mentioned below and the way I describe the math therein. It’s more than I can simply add or update ...

When you have an infinitely decreasing number does it ever hit a point where it is indistinguishable from the number it’s approaching? Does 0.999999999…, for instance, ever finally just become 1? A ...

Yesterday, I posted an article about a math video that showed how you can sum up an infinite series of numbers to get a result of, weirdly enough, -1/12. A lot of stuff happened after I posted it.

This is what happens when you mess with infinity. You might think that if you simply started adding the natural numbers, 1 plus 2 plus 3 and so on all the way to infinity, you would get a pretty big ...

Let $B$ be a normed vector space (possibly a Banach space, but it could be more general) and $\{X_n\}$ a sequence of $B$-valued independent random variables on some ...

Mathematics is often about uncovering patterns. For example, certain areas of topology revolve around categorizing knots or geometric shapes, and number theory explores properties such as the ...