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convex set
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Figure 17: Examples of (left) convex and (right) nonconvex sets.
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convex set

mathematics
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Figure 17: Examples of (left) convex and (right) nonconvex sets.
Figure 17: Examples of (left) convex and (right) nonconvex sets.

In mathematics, a convex set is a set of points where, for any two points within the set, the line segment connecting them is entirely contained within the set. This property applies to geometric figures as well, meaning a convex polygon, for instance, includes all points on the lines connecting any two of its constituent points. This concept is fundamental in combinatorial geometry, particularly in the study of convex bodies, and has applications in areas like packing and covering problems. Convex sets are also a component of vector spaces, which are collections of vectors that can be added together and multiplied by scalars.12345

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6 Britannica Sources
  1. convex
  2. convex
  3. vector space
  4. combinatorics - Helly’s theorem
  5. combinatorics - Packing and covering
  6. vector space

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