8,844 reputation
41647
bio website vimeo.com/cculter
location Seattle, WA
age 31
visits member for 1 year, 5 months
seen 5 hours ago

I'm a software developer at Microsoft, working on computer vision! Outside of work, I'm interested in the inverse problem: visualization of interesting structures, such as topological groups and music. I have a soft spot for dynamical systems, including celestial mechanics and dynamical billiards.


1d
comment If $x$ and $y$ are not both $0$ then $ x^2 +xy +y^2> 0$
Almost the same question: math.stackexchange.com/questions/920605/inequality-x2y2xy-ge-0
1d
revised If $x$ and $y$ are not both $0$ then $ x^2 +xy +y^2> 0$
describe problem in title
Dec
16
answered A limit with an intuitive and wrong answer
Dec
16
answered Can there be a bijection between a countably infinite set and an uncountably infinite set?
Dec
15
comment Relations on the set of Real Numbers
That's my answer: $\leq$ is transitive and reflexive, but not symmetric.
Dec
15
comment Relations on the set of Real Numbers
If someone else were to claim that $\sim$ is reflexive, they would be claiming that $x\sim x$ for ALL $x$. If you want to prove them wrong -- if you want to prove that $\sim$ is NOT reflexive, then you just have to prove the negation $x\not\sim x$ for ONE $x$. In your case, $0\not\sim 0$, since $0\neq0^2+1$.
Dec
15
comment Relations on the set of Real Numbers
Sure! You might want to be more explicit with the "mostly" part, by producing particular examples. To prove that $\sim$ is not reflexive, observe that $0\not\sim0$, and so on.
Dec
15
answered Relations on the set of Real Numbers
Dec
15
awarded  Enlightened
Dec
15
awarded  Nice Answer
Dec
15
comment Help with difficult telescoping series question
Sounds good to me!
Dec
15
comment Help with difficult telescoping series question
Okay, then how about $(1/2!-1/3!)+(1/3!-1/4!)+\cdots+(1/2011!-1/2012!)$?
Dec
15
comment Help with difficult telescoping series question
If the question were to compute $(1/2!-1/3!)+(1/3!-1/4!)+(1/4!-1/5!)$, what would you do with that?
Dec
15
revised Help with difficult telescoping series question
whoops, dropped a few of these
Dec
15
answered Help with difficult telescoping series question
Dec
15
revised Can a matrix have the same range and nullspace?
spell out question title
Dec
15
revised Solution to differential equations $y(0)=1$ and $y^{(n)}=y+1$
put question in title
Dec
15
answered How many possible 1mb files are there?
Dec
15
comment $\pi$ in terms of $4$?
Sorry, I don't know how to write down the result of this process in a simple expression. I suppose you could try solving the first few iterations and looking for a pattern.
Dec
14
revised $\pi$ in terms of $4$?
explain program