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Что (кто) такое Convex - определение
WIKIMEDIA DISAMBIGUATION PAGE
Convexity; Convex (disambiguation)
Найдено результатов: 134
convex
['k?nv?ks]
¦ adjective having an outline or surface curved like the exterior of a circle or sphere. Compare with concave.
Derivatives
convexity noun
convexly adverb
Origin
C16: from L. convexus 'vaulted, arched'.
convex
a.
Gibbous, protuberant, rounding (outwardly).
Convex
·noun A convex body or surface.
II. Convex ·adj Rising or swelling into a spherical or rounded form; regularly protuberant or bulging;
- said of a spherical surface or curved line when viewed from without, in opposition to concave.
convex
Convex is used to describe something that curves outwards in the middle.
...the large convex mirror above the fireplace.
? concave
ADJ
Convexity
·noun The state of being convex; the exterior surface of a convex body; roundness.
Psilocybe baeocystis
SPECIES OF FUNGUS
Psilocybe baeocystis is a psilocybin mushroom of the family Hymenogastraceae. It contains the hallucinogenic compounds psilocybin, psilocin and baeocystin.
convex hull
![A [[bagplot]]. The outer shaded region is the convex hull, and the inner shaded region is the 50% Tukey depth contour.](https://commons.wikimedia.org/wiki/Special:FilePath/Bagplot.png?width=200 "A [[bagplot]]. The outer shaded region is the convex hull, and the inner shaded region is the 50% Tukey depth contour.")
![An [[oloid]], the convex hull of two circles in 3d space](https://commons.wikimedia.org/wiki/Special:FilePath/Oloid structure.svg?width=200 "An [[oloid]], the convex hull of two circles in 3d space")
![Partition of seven points into three subsets with intersecting convex hulls, guaranteed to exist for any seven points in the plane by [[Tverberg's theorem]]](https://commons.wikimedia.org/wiki/Special:FilePath/Tverberg heptagon.svg?width=200 "Partition of seven points into three subsets with intersecting convex hulls, guaranteed to exist for any seven points in the plane by [[Tverberg's theorem]]")
![The [[witch of Agnesi]]. The points on or above the red curve provide an example of a closed set whose convex hull is open (the open [[upper half-plane]]).](https://commons.wikimedia.org/wiki/Special:FilePath/Versiera007.svg?width=200 "The [[witch of Agnesi]]. The points on or above the red curve provide an example of a closed set whose convex hull is open (the open [[upper half-plane]]).")
NOTION IN TOPOLOGICAL VECTOR SPACES
Convex envelope; Closed convex hull; Convex Hull; Convex span; Convex closure; Minimum convex polygon; Applications of convex hulls
<mathematics, graphics> For a set S in space, the smallest
convex set containing S. In the plane, the convex hull can
be visualized as the shape assumed by a rubber band that has
been stretched around the set S and released to conform as
closely as possible to S.
(1997-08-03)
Convex hull
NOTION IN TOPOLOGICAL VECTOR SPACES
Convex envelope; Closed convex hull; Convex Hull; Convex span; Convex closure; Minimum convex polygon; Applications of convex hulls
In geometry, the convex hull or convex envelope or convex closure of a shape is the smallest convex set that contains it. The convex hull may be defined either as the intersection of all convex sets containing a given subset of a Euclidean space, or equivalently as the set of all convex combinations of points in the subset.
Locally convex topological vector space
TYPE OF TOPOLOGICAL VECTOR SPACE
Locally convex; Locally convex space; Locally convex spaces; Locally convex topology; Locally convex basis; Locally convex vector space; LCTVS; Finest locally convex topology
In functional analysis and related areas of mathematics, locally convex topological vector spaces (LCTVS) or locally convex spaces are examples of topological vector spaces (TVS) that generalize normed spaces. They can be defined as topological vector spaces whose topology is generated by translations of balanced, absorbent, convex sets.
Convex conjugate
THE ("DUAL") LOWER-SEMICONTINUOUS CONVEX FUNCTION RESULTING FROM THE LEGENDRE–FENCHEL TRANSFORMATION OF A "PRIMAL" FUNCTION
Fenchel's inequality; Legendre-Fenchel transformation; Fenchel conjugate; Infimal convolute; Fenchel-Young inequality; Convex conjugation; Fenchel inquality; Fenchel's inquality; Fenchel inequality; Legendre–Fenchel transformation; Fenchel–Legendre transform; Fenchel-Legendre transform; Young-fenchel inequality; Fenchel transformation; Biconjugate; Infimal convolution; List of convex conjugates; Fenchel biconjugation; Convex duality; Fenchel transform
In mathematics and mathematical optimization, the convex conjugate of a function is a generalization of the Legendre transformation which applies to non-convex functions. It is also known as Legendre–Fenchel transformation, Fenchel transformation, or Fenchel conjugate (after Adrien-Marie Legendre and Werner Fenchel).
