Minkowski's theorem
In mathematics, Minkowski's theorem is the statement that every convex set in which is symmetric with respect to the origin and which has volume greater than contains a non-zero integer 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. It can be extended from the integers to any lattice and to any symmetric convex set with volume greater than , where denotes the covolume of the lattice (the absolute value of the determinant of any of its bases).
Wikipage disambiguates
Algebraic number fieldBasic Number TheoryBlichfeldt's theoremDanzer setDirichlet's approximation theoremDual latticeEhrhart's volume conjectureFermat's theorem on sums of two squaresFreiman's theoremFürer's algorithmGeometry of numbersHermann MinkowskiInteger points in convex polyhedraKeller's conjectureLattice (group)List of convexity topicsList of eponyms (L–Z)List of geometry topicsList of group theory topicsList of number theory topicsList of scientific laws named after peopleList of theoremsList of things named after Hermann MinkowskiMinkowskiMinkowski's boundMinkowski's convex body theoremMinkowski's theorem of convex bodiesMinkowski constantMinkowski convex body theoremMinkowski theoremMinkowskis theoremMinkowsky's theoremOded Regev (computer scientist)Pankaj K. AgarwalPick's theoremProofs of Fermat's theorem on sums of two squaresThe Geometry of Numbers
Link from a Wikipage to another Wikipage
primaryTopic
Minkowski's theorem
In mathematics, Minkowski's theorem is the statement that every convex set in which is symmetric with respect to the origin and which has volume greater than contains a non-zero integer 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. It can be extended from the integers to any lattice and to any symmetric convex set with volume greater than , where denotes the covolume of the lattice (the absolute value of the determinant of any of its bases).
has abstract
Em matemática, o teorema de Mi ...... chamado geometria dos números.
@pt
En matemáticas, el teorema de ...... llamada geometría de números.
@es
En mathématiques, le théorème ...... héorie algébrique des nombres.
@fr
In mathematics, Minkowski's th ...... erminant of any of its bases).
@en
Twierdzenie Minkowskiego o pun ...... jest twierdzenie Blichfeldta.
@pl
Теорема Минковского о выпуклом ...... рманом Минковским в 1896 году.
@ru
Теорема Мінковського про опукл ...... а Германом Мінковським в 1896.
@uk
في الرياضيات، مبرهنة منكوفسكي ...... ظرية الأعداد هو هندسة الأعداد.
@ar
ミンコフスキーの定理は凸体の中の格子点の存在に関する定理で、 ...... 、ディオファントス近似など数論の様々な領域に応用されている。
@ja
Link from a Wikipage to an external page
Wikipage page ID
page length (characters) of wiki page
Wikipage revision ID
1,018,279,811
Link from a Wikipage to another Wikipage
first
A.V.
@en
id
G/g044350
@en
M/m064090
@en
last
Malyshev
@en
title
Geometry of numbers
@en
Minkowski theorem
@en
wikiPageUsesTemplate
subject
hypernym
comment
Em matemática, o teorema de Mi ...... chamado geometria dos números.
@pt
En matemáticas, el teorema de ...... llamada geometría de números.
@es
En mathématiques, le théorème ...... héorie algébrique des nombres.
@fr
In mathematics, Minkowski's th ...... erminant of any of its bases).
@en
Twierdzenie Minkowskiego o pun ...... jest twierdzenie Blichfeldta.
@pl
Теорема Минковского о выпуклом ...... рманом Минковским в 1896 году.
@ru
Теорема Мінковського про опукл ...... а Германом Мінковським в 1896.
@uk
في الرياضيات، مبرهنة منكوفسكي ...... ظرية الأعداد هو هندسة الأعداد.
@ar
ミンコフスキーの定理は凸体の中の格子点の存在に関する定理で、 ...... 、ディオファントス近似など数論の様々な領域に応用されている。
@ja
label
Minkowski's theorem
@en
Minkowskischer Gitterpunktsatz
@de
Teorema de Minkowski
@es
Teorema de Minkowski
@pt
Théorème de Minkowski
@fr
Twierdzenie Minkowskiego o punktach kratowych
@pl
Теорема Минковского о выпуклом теле
@ru
Теорема Мінковського
@uk
مبرهنة مينكوفسكي
@ar
ミンコフスキーの定理
@ja