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# Michael Biro

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## Registered User

 Name Michael Biro Member for 3 years Seen 7 hours ago Website Location Stony Brook Age 27
 Jun14 awarded ● Yearling May26 awarded ● Nice Answer May25 awarded ● Yearling May25 awarded ● Yearling May23 comment How closed-form conjectures are made?Yes, the paper is "Some Remarkable Properties of Sinc and Related Integrals" by David and Jonathan Borwein. May23 answered How closed-form conjectures are made? Apr9 comment How long can this string of digits be extended?An idea to get past the $b$ lower bound - suppose there are $k$ different $n$-digit numbers, $n_1,n_2,\dots,n_k$, with the stated property. Look at the values of $b \cdot n_i \mod (n + 1)$ and try to argue that if $k$ is large enough, there must be an $i$ such that $b \cdot n_i \mod (n+1) = (n+1)-m$ for $m = 0,1,2,\dots,b-1$. If we take $n = b$, that reduces to showing that not all the numbers have $b\cdot n_i = 1 \mod (b+1)$. Mar31 comment On mentioning recommenders' names in cover letter for postdoctoral applicationsThis doesn't come across at all from the applicant side of the MathJobs setup. If what you're saying is true, why even ask for a mandatory cover letter at all? Mar31 comment On mentioning recommenders' names in cover letter for postdoctoral applicationsThat's what I did too, except I had longer (short paragraph) description for each of research and teaching. Mar20 comment Maintaining boundary of unit circle arrangement If we're allowed four crossings, thin rectangles arranged in a square grid pattern gives the $\Omega(n^2)$ lower bound, right? Feb25 comment Untangling entwined rigid chains in 3-spaceYes, I meant the plane containing the spiral, perpendicular to the axis. Feb24 answered Untangling entwined rigid chains in 3-space Jan16 answered Unique circular ordering of edges around a vertex