2,045 reputation
1719
bio website
location
age 27
visits member for 2 years, 4 months
seen 2 hours ago

I'm currently a graduate student at University of Washington. I'm interested in combinatorics.


1h
comment What is the mathamatical term for this programming concept?
I would call these "partial permutations".
1d
comment Mathematical literature to lose yourself in
Stephen Hawking's "God Created The Integers" is a nice compilation of classical mathematics, with papers by Euclid, Newton, Fourier, Turing, and others.
Aug
6
comment Is there a mathematical concept of fractions using transfinite numbers as numerators and denominators?
Take a look at the surreal numbers. This a framework which you can add, subtract, multiply and divide all sorts of infinite and infinitesimal numbers.
Aug
6
comment In calculus, which questions can the naive ask that the learned cannot answer?
I suppose the problem I had in mind was finding a closed form, or showing that such a closed form doesn't exist, for some definition of "closed form". For example, does it form an algebraically independent set with $\pi$? It's known to be irrational, but whether it is transcendental or not is open.
Aug
3
awarded  Nice Answer
Aug
3
answered In calculus, which questions can the naive ask that the learned cannot answer?
Aug
2
answered Studying mathematics: Is proving things yourself worth the time?
Jul
21
comment How to calculate the number of lattice points in the interior and on the boundary of these figures with vertices as lattice points?
More generally, you might be interested in Ehrhart theory. There is a "reciprocity theorem" that allows you to calculate the number of interior lattice points in a polytope if you know a formula for the number of points in the closure as the polytope is scaled (or vice-verse).
Jul
19
comment Coming up with short “magical” proofs
I don't see why anyone would solve this by citing these identities. You can just evaluate both sides with $f(n) = 2n$ and see that they come out the same.
Jul
5
answered Why is this not the simplest form of this expression?
Jul
2
awarded  Curious
Jun
12
comment Mathematical research of Pokémon
I don't think this answers your question because I don't think it discuss battling, but there's at least one paper in the arXiv on the mathematics of Pokémon.
Jun
11
awarded  Great Answer
Jun
6
comment Closed form expression sum-product of binomials
I would not expect a closed form solution unless you specify values for $a$ and $b$ that are especially nice. Otherwise, it is hard. For example, I don't think there's even a closed-form solution for $\sum_{k=0}^a \binom{n}{k}$.
May
30
answered Are there further transformation principles similar to the Inclusion-Exclusion Principle (IEP)?
May
28
comment Are there further transformation principles similar to the Inclusion-Exclusion Principle (IEP)?
Are you familiar with general Mobius inversion on posets? It is a very useful generalization of property 1.
May
24
comment Has anyone used the isomorphism with $\Bbb{N}_{\gt 0}$ as a monomial ordering?
Here he is not asking if the order is interesting - he's asking if it's been used before, which I think is a valid use of Math.SE.
May
20
comment Is there any proposition in real analysis or linear algebra that can only be proved by contradiction?
You might find this blog post by Timothy Gowers to be relevant.
May
11
comment What is the symbol ≙ most commonly used for in a mathematical or math-related context?
I don't think I've seen this symbol anywhere.
May
3
revised sequence and series (complex analysis)
added 386 characters in body