Matthew Conroy
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 4h revised The number of integral solutions $(x,y)$ of $x^3+3x^2y+3xy^2+2y^3=50653$ better title 22h comment A few questions related to a Markov chain. Could you calculate a simpler probability (than #2), like $P[X(1)=1|X(0)=0]$? 23h comment A few questions related to a Markov chain. Do you have a book in which you can look up what it means, or notes from a lecture where it was introduced? 23h comment A few questions related to a Markov chain. What have you tried? Do you have any thoughts at all about any of these questions? Do you know, for instance, what aperiodic means? 2d comment Prove that functional series $\sum_{n=1}|sinx|^{\sqrt{n}}$ is convergent when $x \in (-1,1)$ Have you tried comparisons with known convergent series? 2d comment Prove that functional series $\sum_{n=1}|sinx|^{\sqrt{n}}$ is convergent when $x \in (-1,1)$ Can you prove, for instance, that $\sum_{n=1}^{\infty} \left( \frac{1}{2}\right)^{\sqrt{n}}$ is convergent? 2d comment Partitions of a number with greatest product Have you worked this out for small n? Do you see a pattern? Share your thoughts. Apr 25 revised finding counterexample for identity of sets spelling in title Apr 18 revised Maximizing $x_1 x_2 x_3\cdots x_m\left(\frac{1}{x_1}+\frac{1}{x_2}+\frac{1}{x_3}+\ldots + \frac{1}{x_m} - 1\right)$ better title Apr 13 revised Proof of $[(a \; \text{mod} \; n)+(b \; \text{mod} \; n)] \equiv (a+b)\; \text{mod}\; n$ better title Apr 11 revised Finding last 2 digits of $2016^{500}$ without repeated squaring better title, intro Apr 8 comment Rearanging Six Variables I don't see $z$ defined anywhere, but you use it in your last three expressions. What is $z$? Apr 6 revised what is the initial temperature of the object? retagged, but the problem statement is very poor Apr 4 comment Showing a parametrization of the ellipsoid What is your definition of an ellipsoid? Mar 30 comment Landing on a Community Chest in Monopoly on your second turn? Nice work. Simulation seems like a good way to go, since who needs this probability exactly anyway? Cheers! Mar 30 comment Landing on a Community Chest in Monopoly on your second turn? I think you have ignored the possible effect of the Chance square. Mar 22 revised Finding a formula for the expected value clarification Mar 16 revised Proving $\{9^n|n\in \mathbb Q\} = \{3^n|n\in \mathbb Q\}$ better title and Q Mar 9 revised Prove that $\sin(x) + \cos(x) \geq 1$ removed proof-ver tag, since no proof is presented Mar 9 revised Does $a_n$ increasing imply $a_n-\frac{1}{n}$ strictly increasing? better title