Byron Schmuland

Edmonton, Canada

stat.ualberta.ca/people/schmu/dept_page.html

Age: 54

I teach probability and statistics at the University of Alberta.

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Convergence of $np(n)$ where $p(n)=\sum_{j=\lceil n/2\rceil}^{n-1} {p(j)\over j}$

sequences-and-series probability stochastic-processes asked Aug 26 '10 at 19:10

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29 votes

Does $2x^2-1=y^5$ have a solution in integers, with $y>1$?

number-theory diophantine-equations asked Feb 15 '12 at 19:01

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29 votes

Inequality for expected value

probability inequality asked Mar 7 '12 at 2:07

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24 votes

How to prove that $\int_0^1\left(\sum_{k=n}^\infty {x^k\over k}\right)^2\,dx = \int_0^1 2x^{n-1}\log\left(1+{1\over\sqrt{x}}\right)\,dx.$

integral asked May 2 '12 at 3:16

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19 votes

Universally measurable sets of $\mathbb{R}^2$

reference-request measure-theory set-theory descriptive-set-theory asked Aug 1 '12 at 2:39

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18 votes

Is this algebraic identity obvious?

algebra-precalculus sequences-and-series asked Mar 2 '11 at 2:31

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12 votes

Eigenvalues for $3\times 3$ stochastic matrices

linear-algebra eigenvalues markov-chains asked May 5 '12 at 1:44

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10 votes

A multi-dimensional Frobenius problem

discrete-geometry asked Oct 29 '10 at 2:29

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9 votes

Is this a known algebraic identity?

algebra-precalculus probability polynomials asked Sep 7 '10 at 18:35

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7 votes

Estimating the dimension of a data set

large-data asked Jan 3 '11 at 15:47

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Top Answers

Striking applications of integration by parts

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Probability of 3 people in a room of 30 having the same birthday

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Probability for the length of the longest run in $n$ Bernoulli trials

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A stronger version of discrete “Liouville's theorem”

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Intuition behind Conditional Expectation

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Pythagorean triplets $x^2+y^2 = z^3$

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$x,y$ are integers satisfying $2x^2-1=y^{15}$, show that $5 \mid x$

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Does the series $ \sum\limits_{n=1}^{\infty} \frac{1}{n^{1 + |\sin(n)|}} $ converge or diverge?

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Proving : $ \bigl(1+\frac{1}{n+1}\bigr)^{n+1} \gt (1+\frac{1}{n})^{n} $

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Birthday-coverage problem

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Stirling's formula: proof?

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Notation question: Integrating against a measure

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A good quick introduction to Knot Theory?

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Expected number of rolling a pair of dice to generate all possible sums

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Elementary central binomial coefficient estimates

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What was the last mathematical paper published in Latin?

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Variance of sample variance?

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Computing $\lim\limits_{n\to+\infty}n\int_{0}^{\pi/2}xf(x)\cos ^n xdx$

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$n!+1$ being a perfect square

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Proof of a (simple?) inequality

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Expected number of steps to transform a permutation to the identity

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The expected payoff of a dice game

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Is it correct that “etc.” can not be used together in a sentence with “for example” and “such as”?

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Maximizing the sum of two numbers, the sum of whose squares is constant

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An application of Jensen's Inequality

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Generalizing the trick for integrating $\int_{-\infty}^\infty e^{-x^2}dx$?

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How many squares does a line between two points pass through?

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Can I travel to North Korea overland (via train)?

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A recurrence that wiggles?

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How to split an integral exactly in two parts

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