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Support function and Supporting hyperplane

Shortcuts: Differences, Similarities, Jaccard Similarity Coefficient, References.

Difference between Support function and Supporting hyperplane

Support function vs. Supporting hyperplane

In mathematics, the support function hA of a non-empty closed convex set A in \mathbb^n describes the (signed) distances of supporting hyperplanes of A from the origin. In geometry, a supporting hyperplane of a set S in Euclidean space \mathbb R^n is a hyperplane that has both of the following two properties.

Similarities between Support function and Supporting hyperplane

Support function and Supporting hyperplane have 2 things in common (in Unionpedia): Closed set, Convex set.

Closed set

In geometry, topology, and related branches of mathematics, a closed set is a set whose complement is an open set.

Closed set and Support function · Closed set and Supporting hyperplane · See more »

Convex set

In geometry, a subset of a Euclidean space, or more generally an affine space over the reals, is convex if, given any two points in the subset, the subset contains the whole line segment that joins them.

Convex set and Support function · Convex set and Supporting hyperplane · See more »

The list above answers the following questions

Support function and Supporting hyperplane Comparison

Support function has 15 relations, while Supporting hyperplane has 16. As they have in common 2, the Jaccard index is 6.45% = 2 / (15 + 16).

References

This article shows the relationship between Support function and Supporting hyperplane. To access each article from which the information was extracted, please visit: