5,674 reputation
32028
bio website matthewconroy.com
location Seattle, WA
age 47
visits member for 3 years, 9 months
seen yesterday

I am a mathematics lecturer at the University of Washington.

I received my Ph.D. in 1997 under the direction of Peter Elliott. My dissertation was in analytic number theory.


Jun
27
awarded  Guru
Jun
11
awarded  Electorate
Jun
11
comment This is question 3.3 from Alan Karr's Probability
Welcome to math.SE: since you are new, I wanted to let you know a few things about the site. In order to get the best possible answers, it is helpful if you say in what context you encountered the problem, and what your thoughts on it are; this will prevent people from telling you things you already know, and help them give their answers at the right level. If this is homework, please add the homework tag; people will still help, so don't worry.
Jun
10
comment An number theoretic inequality
I think a good approach would be to show that the lhs is less than, say, $\frac{1}{2}e^n$ (you might use Stirling's formula for the factorial part) while the rhs is greater than, say, $0.9e^n$ for $n$ greater than some bound (the prime number theorem implies $\log(\textrm{lcm}(1,2,\dots,n))/n$ is asymptotic to 1 as $n$ tends to infinity).
Jun
6
comment An number theoretic inequality
Why do you want to prove this? Where did you encounter this problem?
Jun
4
revised Prove that $4x^{n} + (x+1)^{2} = y^2$ doesn't have positive integer solutions for $n \ge 3$
more info in title
Jun
2
comment Is 292229292292 the longest 29-smooth number made of 2's and 9's?
@UmbertoP. It means the number has no prime factor greater than 29. See en.wikipedia.org/wiki/Smooth_number
Jun
2
revised Is 292229292292 the longest 29-smooth number made of 2's and 9's?
added wikipedia link for smooth number
Jun
2
revised Ways of Distributing $n$ balls among $k$ boxes, each box containing $L \leq x_i \leq M$ or $0$ Balls
TeX in title
Jun
2
revised How many numbers with $3$ digits can be formed with the digits $1,2,3,4,5$?
more info in title
May
30
revised What is the largest integer with only one representation as a sum of five nonzero squares?
put question into body
May
30
revised $a \equiv b \pmod n$ and $c\equiv d \pmod n$ implies $ac \equiv bd \pmod n$
more info in title
May
30
awarded  Copy Editor
May
30
comment Application of Markov Chain to Game of Life Board Game
If I understand the situation correctly, all of your games start with the player in the initial state. So the first row of your matrix $H$ is all you need: the $i$-th entry in the first row tells you the probability of ever reaching the $i$-th state.
May
30
revised Application of Markov Chain to Game of Life Board Game
added link to the WP page for the game
May
30
comment Exhaustive list of recreational mathematical concepts
You're welcome! That page has links to many Wikipedia pages, including pages on principles and paradoxes. Wikipedia is very interconnected, so, for instance, from the page on the Homicidal chauffeur problem, you will see links to Variational Calculus. For paradoxes, check out en.wikipedia.org/wiki/Category:Paradoxes Cheers!
May
30
revised Sum of these quotient can not be integer
formatting
May
30
comment Exhaustive list of recreational mathematical concepts
This is a pretty good start: en.wikipedia.org/wiki/Category:Recreational_mathematics
May
30
reviewed Approve suggested edit on Multivariable Calc Proof
May
30
comment Natural Numbers as Vectors via Factorization?
Why not ask the person who posted that answer to elaborate?