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Support function

In mathematics, the support function hA of a non-empty closed convex set A in R n {\displaystyle \mathbb {R} ^{n}} describes the (signed) distances of supporting hyperplanes of A from the origin. The support function is a convex function on R n {\displaystyle \mathbb {R} ^{n}} . Any non-empty closed convex set A is uniquely determined by hA. Furthermore…

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Extended realEven functionDirectional derivativeSubgradientsLegendre transform
12 related topics

Interpretation

Unit vectorEuclidean distance
2 related topics

Variants

Regular surfaceUnit normal vector
2 related topics

Examples

Line segment
1 related topics

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Support function

Nodes30
Edges29
Triples23
Avg. degree1.93
Density0.066667
Components1

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Support function

Top relations

related to As a function of x · 7
Support function → As, For, However, If, In, The, This
related to Non-unit vectors as scoring rates · 5
Support function → For, In, Instead, The, Under
related to Variants · 4
Support function → Convexity, For, In, Sn-1
related to Examples · 2
Support function → Euclidean, The
related to Unit vectors · 2
Support function → By, The
is a · 1
Support function → convex function on R n
related to As a function of A · 1
Support function → The
related to Definition · 1
Support function → The

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Important terminology

displaystyle function support convex set supporting ha mathbb closed unit vector hyperplane score functions compact properties origin non-empty distance cdot

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Support functionis aconvex function on R n0.90text
Support functionrelated to As a function of AThe0.60section
Support functionrelated to As a function of xThe0.60section
Support functionrelated to As a function of xAs0.60section
Support functionrelated to As a function of xThis0.60section
Support functionrelated to As a function of xFor0.60section
Support functionrelated to As a function of xIn0.60section
Support functionrelated to As a function of xHowever0.60section
Support functionrelated to As a function of xIf0.60section
Support functionrelated to DefinitionThe0.60section
Support functionrelated to ExamplesThe0.60section
Support functionrelated to ExamplesEuclidean0.60section

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