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This tag is used if a reference is needed in a paper or textbook on a specific result.

2 votes

Reference request: an elementary proof of Brouwer fixed-point theorem.

There is an interesting essay on Brouwer's Fixed Point theorem, including a contructive proof, at Kevin Brown's MathPages site http://www.mathpages.com/home/kmath262/kmath262.htm Looking at the home …
John R Ramsden's user avatar
4 votes

Parametrization of the intersection of an ellipsoid with a sphere

You'll almost certainly find that sampling the parameters uniformly will not sample points uniformly on the intersection. But a general parametrization, involving Jacobian elliptic functions, can be …
John R Ramsden's user avatar
2 votes

Are nontrivial integer solutions known for $x^3+y^3+z^3=3$?

As $x^3 + y^3 = c$ for any given (suitable) c is an elliptic curve, perhaps a reasonable strategy would be to try various integers $f$, $g$ for which $c := f^3 - 3 g^3$ is small and establish the Mord …
John R Ramsden's user avatar