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Mixed volume

In mathematics, more specifically, in convex geometry, the mixed volume is a way to associate a non-negative number to a tuple of convex bodies in R n {\displaystyle \mathbb {R} ^{n}} . This number depends on the size and shape of the bodies, and their relative orientation to each other.

Measurement, Quermassintegrals & Properties

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Quermassintegrals

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Mixed volume

Nodes25
Edges24
Triples6
Avg. degree1.92
Density0.08
Components1

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Mixed volume

Top relations

related to Quermassintegrals · 3
Mixed volume → Euclidean, Let, The
related to Properties · 2
Mixed volume → The, Vol
is a · 1
Mixed volume → way to associate a non-negative number to a tuple of convex bodies in R n

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Important terminology

displaystyle volume convex mixed mathbb intrinsic bodies vol -dimensional ball unit number volumes theorem mathematics dots text ldots way non-negative

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Mixed volumeis away to associate a non-negative number to a tuple of convex bodies in R n0.90text
Mixed volumerelated to PropertiesThe0.60section
Mixed volumerelated to PropertiesVol0.60section
Mixed volumerelated to QuermassintegralsLet0.60section
Mixed volumerelated to QuermassintegralsEuclidean0.60section
Mixed volumerelated to QuermassintegralsThe0.60section

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