Convex Sets.pdf

convex1-09.pdf
Preview of Convex Sets
🔗 Source: cis.upenn.edu
📊 Size: 316 KB
📄 Pages: 56 pages
⬇️ Downloads: 161

Summary

Convex sets are defined as subsets of an affine space where for any two points, the line segment between them is contained in the set. The notation [a, b] denotes the line segment between points a and b. The empty set, one-point sets, and the entire affine space are convex. The intersection of convex sets is convex, and the convex hull of a subset is the smallest convex set containing it. The dimension of a convex subset is the dimension of its affine hull. Convex combinations of points and half-spaces associated with hyperplanes are also convex. Bounded convex sets formed by intersecting half-spaces are called convex polytopes.

Description

Convex sets are defined as subsets of an affine space where for any two points, the line segment between them is contained in the set.

Technical Information

  • File Format: PDF
  • File Size: 316 KB
  • Pages: 56
  • Language: EN
  • Total Downloads: 161
  • Last Updated: 6 days ago

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