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Helly's theorem and Radon's theorem

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

Difference between Helly's theorem and Radon's theorem

Helly's theorem vs. Radon's theorem

Helly's theorem is a basic result in discrete geometry on the intersection of convex sets. In geometry, Radon's theorem on convex sets, published by Johann Radon in 1921, states that any set of d + 2 points in Rd can be partitioned into two disjoint sets whose convex hulls intersect.

Similarities between Helly's theorem and Radon's theorem

Helly's theorem and Radon's theorem have 5 things in common (in Unionpedia): American Mathematical Society, Carathéodory's theorem (convex hull), Convex hull, Convex set, Mathematische Annalen.

American Mathematical Society

The American Mathematical Society (AMS) is an association of professional mathematicians dedicated to the interests of mathematical research and scholarship, and serves the national and international community through its publications, meetings, advocacy and other programs.

American Mathematical Society and Helly's theorem · American Mathematical Society and Radon's theorem · See more »

Carathéodory's theorem (convex hull)

In convex geometry, Carathéodory's theorem states that if a point x of Rd lies in the convex hull of a set P, then x can be written as the convex combination of at most d + 1 points in P. Namely, there is a subset ′ of P consisting of d + 1 or fewer points such that x lies in the convex hull of ′.

Carathéodory's theorem (convex hull) and Helly's theorem · Carathéodory's theorem (convex hull) and Radon's theorem · See more »

Convex hull

In mathematics, the convex hull or convex envelope or convex closure of a set X of points in the Euclidean plane or in a Euclidean space (or, more generally, in an affine space over the reals) is the smallest convex set that contains X. For instance, when X is a bounded subset of the plane, the convex hull may be visualized as the shape enclosed by a rubber band stretched around X., p. 3.

Convex hull and Helly's theorem · Convex hull and Radon's theorem · See more »

Convex set

In convex geometry, a convex set is a subset of an affine space that is closed under convex combinations.

Convex set and Helly's theorem · Convex set and Radon's theorem · See more »

Mathematische Annalen

Mathematische Annalen (abbreviated as Math. Ann. or, formerly, Math. Annal.) is a German mathematical research journal founded in 1868 by Alfred Clebsch and Carl Neumann.

Helly's theorem and Mathematische Annalen · Mathematische Annalen and Radon's theorem · See more »

The list above answers the following questions

Helly's theorem and Radon's theorem Comparison

Helly's theorem has 19 relations, while Radon's theorem has 41. As they have in common 5, the Jaccard index is 8.33% = 5 / (19 + 41).

References

This article shows the relationship between Helly's theorem and Radon's theorem. To access each article from which the information was extracted, please visit:

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