14,504 reputation
22568
bio website austinmohr.com
location Lincoln, NE
age 29
visits member for 3 years, 3 months
seen 21 hours ago

Status
Assistant Professor in the Department of Mathematics at Nebraska Wesleyan University

Interests
Combinatorics, general topology, and mathematics pedagogy

Currently Researching
Applications of the Lopsided Lovász Local Lemma

Spacebook
Spacebook is a searchable database of topological spaces and their properties (in ZFC) inspired by Steen and Seebach’s Counterexamples in Topology. (Learn more.)


Sep
13
comment Does a graph of this type have a name?
The axes are uniform. Each tick mark represents an increase by a factor of ten.
Sep
13
awarded  Altruist
Sep
9
comment Success in maths (soft question)
I don't think this question is particularly appropriate for the site. I would be happy to hear your concerns through email, however. See my profile.
Sep
5
awarded  Investor
Sep
4
revised Proving $\binom{n}{r}=\frac{n-r+1}{r}\binom{n}{r-1}$
added 30 characters in body
Sep
4
answered Proving $\binom{n}{r}=\frac{n-r+1}{r}\binom{n}{r-1}$
Sep
4
comment Proving $\binom{n}{r}=\frac{n-r+1}{r}\binom{n}{r-1}$
@FernandoMartinez $n - (r-1) = n- r + 1$
Sep
2
awarded  Notable Question
Sep
2
awarded  Popular Question
Aug
29
revised Details from a Proof that a Tournament has Property $S_k$
added 49 characters in body
Aug
29
revised Details from a Proof that a Tournament has Property $S_k$
added 1 character in body
Aug
29
comment Details from a Proof that a Tournament has Property $S_k$
Thank you for the detailed answer. Now that I have added context, you'll see that $n > k$ was implied. I apologize if that omission made your work more difficult.
Aug
29
revised Details from a Proof that a Tournament has Property $S_k$
added context
Aug
29
accepted Details from a Proof that a Tournament has Property $S_k$
Aug
27
comment The intersection of $3$ set is empty, would the intersection of $4$ sets be empty?
As shown in the answers, you need only that the intersection of some subcollection of $\{A, B, C, D\}$ is empty, since $A \cap B \cap C \cap D$ is a subset of any such intersection.
Aug
27
revised Details from a Proof that a Tournament has Property $S_k$
deleted 1 character in body
Aug
27
comment Details from a Proof that a Tournament has Property $S_k$
@forallepsilon I did not explain it well. For fixed $k$, if $n$ is chosen large enough to ensure $\left(\frac{en}{k}\right)^k e^{-(n-k)/2^k} < 1$, then it is also large enough to ensure $\binom{n}{k}(1 - 2^{-k})^{n-k} < 1$ since $ \binom{n}{k} \leq \left(\frac{en}{k}\right)^k $ and $ (1 - 2^{-k})^{n-k} \leq e^{-(n-k)/2^k}. $
Aug
27
asked Details from a Proof that a Tournament has Property $S_k$
Aug
24
revised Why the whole theory about differentiable manifolds is based on open sets?
edited body
Aug
21
revised A Hausdorff space which is not completely regular
typesetting