Minkowski's Theorem
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Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In mathematics, Minkowski''s theorem is the statement that any convex set in Rn which is symmetric with respect to the origin and with volume greater than 2n d(L) contains a non-zero lattice point. The theorem was proved by Hermann Minkowski in 1889 and became the foundation of the branch of number theory called the geometry of numbers.Suppose that L is a lattice of determinant d(L) in the n-dimensional real vector space Rn and S is a convex subset of Rn that is symmetric with respect to the origin, meaning that if x is in S then x is also in S. Minkowski''s theorem states that if the volume of S is strictly greater than 2n d(L), then S must contain at least one lattice point other than the origin.
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GarantieWeitere Informationen
- Allgemeine Informationen
- GTIN 09786131220210
- Editor Lambert M. Surhone, Miriam T. Timpledon, Susan F. Marseken
- Größe H220mm x B220mm
- EAN 9786131220210
- Format Fachbuch
- Titel Minkowski's Theorem
- Herausgeber Betascript Publishing
- Anzahl Seiten 104
- Genre Mathematik
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