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Τι (ποιος) είναι weakly convex - ορισμός
WEAK DERIVATION
Weakly Differentiable; Weakly differentiable
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.
Βικιπαίδεια
Weak derivative
In mathematics, a weak derivative is a generalization of the concept of the derivative of a function (strong derivative) for functions not assumed differentiable, but only integrable, i.e., to lie in the Lp space .
The method of integration by parts holds that for differentiable functions and we have
A function u' being the weak derivative of u is essentially defined by the requirement that this equation must hold for all infinitely differentiable functions φ vanishing at the boundary points ().
