Caleb Jares
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 Mar 5 awarded Popular Question Feb 6 awarded Nice Question Dec 16 awarded Popular Question Jul 2 awarded Curious Jan 25 awarded Teacher Dec 12 awarded Famous Question Dec 3 comment Is it possible to combine the formula for $f_0$ and $f_{n\ge1}$ to get $f_{n\ge0}$? Oops, you're right. I thought I was cancelling out the $0$ case, but it was already cancelled. However, if we were actually considering the case where $A(x)=-1+x+6x^3+...$, would we be able to find $f_{n\ge0}$? Dec 3 asked Is it possible to combine the formula for $f_0$ and $f_{n\ge1}$ to get $f_{n\ge0}$? Nov 17 comment On irreducible polynomial What is $\mathbb{Q}(\sqrt2,\sqrt3)$ again? Is that the polynomial ring over the rationals modulo $\sqrt2$ and $sqrt3$? Nov 7 comment What are some examples of notation that really improved mathematics? That's why I write $\varepsilon \in X$ in my delta-epsilon arguments :) Nov 7 comment What are the most overpowered theorems in mathematics? Whoops, just went through another round in my head. 0 is indeed less than 1. Sep 30 comment How to prove that $\frac{(mn)!}{m!(n!)^m}$ is an integer? Interesting. I worked out that those are equal algebraically, but I'm interested to know if there is a combinatorical argument to show they're equal. Sep 29 comment How to prove that $\frac{(mn)!}{m!(n!)^m}$ is an integer? Why exactly is $\binom{kn}{n}$ divisible by $k$? Jul 26 comment Find the sum of series $\sum_{n=0}^\infty\frac{(4n)!}{(4n+4)!}$ Forgive me for asking, but what college course would I take to learn how to answer this question in the same way? Jul 7 awarded Popular Question Apr 17 accepted Showing a polynomial $f\in\mathbb Q[x]$ is irreducible if it has rational coefficients? Apr 17 comment Showing a polynomial $f\in\mathbb Q[x]$ is irreducible if it has rational coefficients? Ok I see. Thanks Apr 17 asked Showing a polynomial $f\in\mathbb Q[x]$ is irreducible if it has rational coefficients? Mar 10 comment In polar/cylindrical coordinates, does $r dr d\theta=r d\theta dr$? The way you visualize it makes more sense for cylindrical, thanks! The way I've been visualizing is a little different. For example, consider a triangle bounded by $y=0,x=1,y=x$. If I integrate over $y$ first, then in my mind I'm getting rid of the $y$ dimension, so now I just have a line from $x=0$ to $x=1$. Mar 10 asked In polar/cylindrical coordinates, does $r dr d\theta=r d\theta dr$?