333 reputation
1212
bio website
location Colorado and Lincoln, NE
age 21
visits member for 3 years, 2 months
seen Jun 16 at 15:39

Computer Science Undergraduate at UNL. C#, .NET 4.5, Windows 8 lover.


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 $f_{n\ge0}$?
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?
Apr
17
comment Showing a polynomial $f\in\mathbb Q[x]$ is irreducible if it has rational coefficients?
Ok I see. Thanks
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
7
comment What was the first bit of mathematics that made you realize that math is beautiful? (For children's book)
Which proof of $\sqrt{2}$ being irrational?
Feb
28
comment In a group $G$ with operation $\star$, can I apply $\star$ to both sides of an equation?
@GerryMyerson I meant that if you went from $a=b$ to $a^2=b^2$, you can don't lose any information because you still have the two equations.
Feb
28
comment In a group $G$ with operation $\star$, can I apply $\star$ to both sides of an equation?
@GerryMyerson Isn't going from $a^2=b^2$ to $a=b$ the same as $a^2=b^2\implies a=b^2/a$, and because $a=b$, $\implies a=b^2/b=b$.
Feb
14
comment Proving $4^{47}\equiv 4\pmod{12}$
Thanks, this is a great way to prove it without induction!
Jun
22
comment When representing a base-n number in decimal ($\frac{x}{n^l}$), will there be a different set of terminating representable numbers than base-10?
Both mean the same thing. If there's a different set of terminating numbers there will also be a set of non-terminating numbers. Correct?
Jun
22
comment When representing a base-n number in decimal ($\frac{x}{n^l}$), will there be a different set of terminating representable numbers than base-10?
You confirm my revised suspicion: the set of representable non-terminating numbers does depend on the base. Thanks!
Jun
22
comment When representing a base-n number in decimal ($\frac{x}{n^l}$), will there be a different set of terminating representable numbers than base-10?
Yes, this is what I mean.
Jun
8
comment Is it generally accepted that if you throw a dart at a number line you will NEVER hit a rational number?
@QiaochuYuan what languages are better at making these distinctions?
Dec
12
comment How many unique pairs of integers between $1$ and $100$ (inclusive) have a sum that is even?
Oh why thank you very much :)
Nov
15
comment Evaluating $\sum\limits_{n=0}^{20} \frac{(-1)^{n}2^{n+1}}{3^{n}},$
Thanks! That worked.
Nov
15
comment Evaluating $\sum\limits_{n=0}^{20} \frac{(-1)^{n}2^{n+1}}{3^{n}},$
Yes, just the partial sum. I know it's wierd, but my professor put it on our test and I had no idea how to do it then. Now he offered test corrections because the average was below 60 and I still don't know how to do it.