bio | website | thenerdiestshirts.com |
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location | ||
age | ||
visits | member for | 5 years, 7 months |
seen | 7 hours ago | |
stats | profile views | 10,077 |
Jul 27 |
comment |
Determining whether $k(x + x^{-1})$ is post-critically finite for $0 < |k| < 1$
How is $2k-1$ greater than $1$ in absolute value? Is $k$ negative or complex, or do you mean a non-Archimedean absolute value $\alpha ^ {v(\cdot)}$? |
Jul 27 |
comment |
Randomly partitioning the unit interval with continuous functions
Do you want continuous functions or piecewise constant functions? Why do you use $w$ and not $1/n$? |
Jul 15 |
awarded | Enlightened |
Jul 15 |
awarded | Nice Answer |
Jul 8 |
comment |
Recursive sequence of binomial random variables
The right tail bounds seem much easier than the left tail bounds. For example, Markov's inequality says $P[X_k > (1+p+\epsilon)^k] \le (\frac{1+p}{1+p+\epsilon})^k$. |
Jul 4 |
reviewed | Approve How many labelled disconnected simple graphs have n vertices and floor((n choose 2)/2) edges? |
Jul 1 |
answered | Given $x$ in a path-connected open set $S$ on the plane, are there non-crossing paths from $x$ to every point in $\partial S$? |
Jul 1 |
comment |
Given $x$ in a path-connected open set $S$ on the plane, are there non-crossing paths from $x$ to every point in $\partial S$?
Your argument using the Riemann mapping theorem is flawed. The Riemann map is not guaranteed to extend continuously to the boundary. See Carathéodory's theorem. |
Jun 29 |
revised |
Probability that random nonnegative integer matrix is singular
Switched matrices. Added OEIS information. |
Jun 23 |
revised |
Why does the bitxor function appear in Nim?
deleted 1 character in body |
Jun 23 |
answered | Why does the bitxor function appear in Nim? |
Jun 23 |
comment |
Generalization of Sprague-Grundy Theorem
I didn't notice the difference between Moore's results and this generalization until you pointed it out. I'd just cite both Moore and Sprague-Grundy as I think it's an immediate consequence of these two theorems. |
Jun 22 |
comment |
Sizes of maximum matchings in a finite, simple, undirected graph
Any union of copies of graphs with different sizes of maximal partial matchings works the same way. I believe if you form a partial matching randomly on a large grid, say a $2n \times m$ rectangle, adding edges until it is maximal, you miss close to a fixed percentage of the vertices with high probability. |
Jun 22 |
comment |
Is $\sqrt {2 \sqrt {3 \sqrt {4 \ldots}}}$ a rational number?
The mathematical question is interesting, which is why so many people have voted it up. However, it should be stated that this seems to be an open question, and there should be links to the other places the question was recently asked. The way this question was presented with no context was poor, and that's why there are so many down votes. |
Jun 17 |
revised |
Are all mixtures of these unimodal functions unimodal?
Added image |
Jun 17 |
answered | Are all mixtures of these unimodal functions unimodal? |
Jun 15 |
revised |
Mathematical journals (maybe in the past) with regular competitions?
Restored an omitted part of the question. |
Jun 15 |
comment |
Expected length of minimum spanning trees
Don't you just get a weighted average of the values on smaller sets of vertices, weighted by the probability that many vertices appear? |
Jun 10 |
comment |
Number of Nice Matrices
@Vincent: There actually are ways you can prove something has no computable formula, say if it encodes the halting problem, although I doubt something like that would work here. |
Jun 7 |
comment |
Lower bound for the probability that a certain component of a Gaussian vector dominates all others
You can translate this into a probability that another Gaussian vector is in the positive orthant, $(X_1-X_2, X_1-X_3,...,X_1-X_n)$. These probabilities have been studied. |