What does convex set mean?
Definitions for convex set
con·vex set
This dictionary definitions page includes all the possible meanings, example usage and translations of the word convex set.
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Wiktionary
convex setnoun
A set which contains any convex combination of any (finite) subset of its points.
Wikipedia
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. Equivalently, a convex set or a convex region is a subset that intersects every line into a single line segment (possibly empty). For example, a solid cube is a convex set, but anything that is hollow or has an indent, for example, a crescent shape, is not convex. The boundary of a convex set is always a convex curve. The intersection of all the convex sets that contain a given subset A of Euclidean space is called the convex hull of A. It is the smallest convex set containing A. A convex function is a real-valued function defined on an interval with the property that its epigraph (the set of points on or above the graph of the function) is a convex set. Convex minimization is a subfield of optimization that studies the problem of minimizing convex functions over convex sets. The branch of mathematics devoted to the study of properties of convex sets and convex functions is called convex analysis. The notion of a convex set can be generalized as described below.
Wikidata
Convex set
In Euclidean space, an object is convex if for every pair of points within the object, every point on the straight line segment that joins them is also within the object. For example, a solid cube is convex, but anything that is hollow or has a dent in it, for example, a crescent shape, is not convex. The notion can be generalized to other spaces as described below.
Numerology
Chaldean Numerology
The numerical value of convex set in Chaldean Numerology is: 7
Pythagorean Numerology
The numerical value of convex set in Pythagorean Numerology is: 1
Translations for convex set
From our Multilingual Translation Dictionary
- مجموعه ای محدبPersian
- himpunan cembungIndonesian
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"convex set." Definitions.net. STANDS4 LLC, 2024. Web. 1 May 2024. <https://www.definitions.net/definition/convex+set>.
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