Convex body
In mathematics, a convex body in -dimensional Euclidean space is a compact convex set with non-empty interior. A convex body is called symmetric if it is centrally symmetric with respect to the origin; that is to say, a point lies in if and only if its antipode, also lies in Symmetric convex bodies are in a one-to-one correspondence with the unit balls of norms on Important examples of convex bodies are the Euclidean ball, the hypercube and the cross-polytope.
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Alan M. FriezeAnderson's theoremBusemann's theoremBusemann–Petty problemConflict-free coloringConvex bodiesConvex setConvex volume approximationCross section (geometry)Danzer setEhrhart's volume conjectureEquichordal point problemFat object (geometry)Feret diameterFour-vertex theoremGeometric measure theoryGlossary of areas of mathematicsGyörgy ElekesHadwiger's theoremHadwiger conjecture (combinatorial geometry)Hanner polytopeHilbert's fourth problemImre BárányIsotropic positionJohn ellipsoidKakutani's theorem (geometry)Kissing numberKlee's measure problemLiberman's lemmaList of convexity topicsList of unsolved problems in mathematicsMahler volumeMartin DyerMilman's reverse Brunn–Minkowski inequalityMinkowski's first inequality for convex bodiesMinkowski problemMixed volumeNewton–Okounkov bodyNicole Tomczak-JaegermannPi
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Convex body
In mathematics, a convex body in -dimensional Euclidean space is a compact convex set with non-empty interior. A convex body is called symmetric if it is centrally symmetric with respect to the origin; that is to say, a point lies in if and only if its antipode, also lies in Symmetric convex bodies are in a one-to-one correspondence with the unit balls of norms on Important examples of convex bodies are the Euclidean ball, the hypercube and the cross-polytope.
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Ein konvexer Körper ist in der ...... dessen Inhalt nicht leer ist.
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En matemática, un cuerpo conve ...... ercubo y el politopo de cruce.
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In matematica, un corpo conves ...... la euclidea, l'ipercubo e il .
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In mathematics, a convex body ...... ercube and the cross-polytope.
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在数学方面,在n-维欧氏空间Rn的凸体是一个内部非空的紧凸集 ...... 球在范上一一对应。 凸体的重要的例子是欧几里得球,立方体和。
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Ein konvexer Körper ist in der ...... dessen Inhalt nicht leer ist.
@de
En matemática, un cuerpo conve ...... ercubo y el politopo de cruce.
@es
In matematica, un corpo conves ...... la euclidea, l'ipercubo e il .
@it
In mathematics, a convex body ...... ercube and the cross-polytope.
@en
在数学方面,在n-维欧氏空间Rn的凸体是一个内部非空的紧凸集 ...... 球在范上一一对应。 凸体的重要的例子是欧几里得球,立方体和。
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Convex body
@en
Corpo convesso
@it
Cuerpo convexo
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Konvexer Körper
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凸体
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