Examples of 'convex set' in a sentence
Meaning of "convex set"
Convex set: In mathematics, a convex set is a subset of Euclidean space that contains all the line segments connecting any two of its points. It is a set where, for any pair of points within the set, the line segment joining them is also completely within the set
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- A set which contains any convex combination of any (finite) subset of its points.
How to use "convex set" in a sentence
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convex set
The interior of a convex curve is a convex set.
The boundary of a convex set is always a convex curve.
An interval in a partially ordered vector space is a convex set.
The notion of a convex set can be generalized as described below.
The uniform distribution over any convex set.
Every convex set is the convex hull of its extreme points.
A function is concave if and only if its hypograph is a convex set.
The sum of a compact convex set and a closed convex set is closed.
A credal set is often assumed or constructed to be a closed convex set.
A convex set can have more than one supporting hyperplane at a given point on its boundary.
Extreme subset of convex set.
Any convex set in a Euclidean space is a convex metric space with the induced Euclidean norm.
It is clear from the definition that the family of separable states is a convex set.
A convex set is connected ; it is actually simply connected.
The considered problem consists in minimizing a cost functional on a closed convex set of admissible controls.
See also
Any non-empty convex set is a star domain.
The conical hull of a set S is a convex set.
Equivalently, every high-dimensional bounded symmetric convex set has low-dimensional sections that are approximately ellipsoids.
Cross-sections and projections of a convex set.
Formally, It is the smallest convex set containing the points.
Equivalently, it is a simple polygon whose interior is a convex set.
Example, Projection of a convex set on a subspace.
In this paper, we consider the problem of general equilibrium on a closed convex set.
The convex hull of a geometric object is the smallest convex set ( polygon ) containing that object.
A real-valued function is defined to be a convex function if its epigraph is a convex set.
Any convex set can be described as the ( possibly infinite ) intersection of half-spaces.
Brouwer states that any continuous function f from a compact convex set to itself has a fixed point.
Properties = = A function is concave if and only if its hypograph is a convex set.
A convex curve may be defined as the boundary of a convex set in the Euclidean plane.
As a consequence, GPR is equivalent to the simulation of a truncated Gaussian vector to a convex set.
Grünbaum 's definition is in terms of a convex set of points in space.
A convex polyhedron is a polyhedron that, as a solid, forms a convex set.
More generally, the intersection of a family of convex sets is a convex set.
Properties = = A function is convex if and only if its epigraph is a convex set.
This path lies in a vertical plane, passing through a convex set of vía positions.
That is, the region enclosed by the Moon 's orbit of the Sun is a convex set.
The restriction of the Lebesgue measure to any convex set is also log-concave.
Also, a regular pentagon is a convex set.
A convex body in Euclidean space is defined as a compact convex set with non-empty interior.
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Examples of using Set
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Examples of using Convex
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Shoulder extremely convex and extremely thick
Convex geometry is a relatively young mathematical discipline
Shoulder very convex and very thick
