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searching for Minkowski's theorem 5 found (35 total)

Minkowski problem for polytopes (668 words) [view diff] exact match in snippet view article find links to article

information was proven by Hermann Minkowski; it has been called "Minkowski's theorem", although the same name has also been given to several unrelated

Discriminant of an algebraic number field (2,785 words) [view diff] exact match in snippet view article find links to article

}{4}}\right)^{r_{2}}\geq {\frac {n^{n}}{n!}}\left({\frac {\pi }{4}}\right)^{n/2}.} Minkowski's theorem: If K is not Q, then |ΔK| > 1 (this follows directly from the Minkowski

Blaschke sum (831 words) [view diff] exact match in snippet view article find links to article

by its sum. This operation preserves the necessary conditions for Minkowski's theorem on the existence of a polytope described by the resulting set of

Algebraic number theory (5,798 words) [view diff] exact match in snippet view article find links to article

an algebraic number field K is finite. This is a consequence of Minkowski's theorem since there are only finitely many Integral ideals with norm less

John von Neumann (23,300 words) [view diff] exact match in snippet view article find links to article

of calculus of variations, and a small simplification of Hermann Minkowski's theorem for linear forms in geometric number theory. Later in his career