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In the earliest days of MathOverflow, there was a '20 questions' seminar (see <http://sbseminar.wordpress.com/category/20-questions/>) run by graduate students at Berkeley. Many questions from the seminar were cross-posted to MathOverflow. This tag now exists solely for the historical record.

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How can you find small denominators inside triangles?

Here's an example algorithm that finds the smallest denominator point in the interior: Take the triangle's center and denote D to be its denominator. Find all horizontal lines with y-coordinate's de …
Ilya Nikokoshev's user avatar
2 votes

Cohomology and Eilenberg-MacLane spaces

Indeed, the statement is that homotopy classes of continuous maps of pointed spaces $[X, K(G, n)]$ are in 1-1 correspondence with the elements of singular homology $H^n(X, G)$ for a CW-complex $X$. T …
Ilya Nikokoshev's user avatar
4 votes

Can $N^2$ have only digits 0 and 1, other than $N=10^k$?

If that's of interest to anyone, here are the results of my Python program that was trying to find a possible prefix starting from 1: (number of digits) (prefixes found) (random prefix's square) 1 1 …
Ilya Nikokoshev's user avatar