- convex combination
- мат.выпуклая комбинация
English-Russian scientific dictionary. 2008.
convex combination
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Convex combination — Given three points x1,x2,x3 in a plane as shown in the figure, the point P is a convex combination of the three points, while Q is not. (Q is however an affine combination of the three poin … Wikipedia
Convex cone — In linear algebra, a convex cone is a subset of a vector space over an ordered field that is closed under linear combinations with positive coefficients. A convex cone (light blue). Inside of it, the light red convex cone consists of all points… … Wikipedia
Convex — A convex set. The word convex means curving out or bulging outward, as opposed to concave. Convex or convexity may refer to: Mathematics: Convex set, a set of points containing all line segments between each pair of its points Convex function, a… … Wikipedia
Convex set — A convex set … Wikipedia
Convex hull — The convex hull of the red set is the blue convex set. See also: Convex set and Convex combination In mathematics, the convex hull or convex envelope for a set of points X in a real vector space V is the min … Wikipedia
Convex polytope — A 3 dimensional convex polytope A convex polytope is a special case of a polytope, having the additional property that it is also a convex set of points in the n dimensional space Rn.[1] Some authors use the terms convex polytope and convex… … Wikipedia
Conical combination — Given a finite number of vectors in a real vector space, a conical combination or a conical sum [1] [2] of these vectors is a vector of the form where the real numbers satisfy … Wikipedia
Carathéodory's theorem (convex hull) — See also Carathéodory s theorem for other meanings In convex geometry Carathéodory s theorem states that if a point x of R d lies in the convex hull of a set P , there is a subset P prime; of P consisting of d +1 or fewer points such that x lies… … Wikipedia
Affine combination — In mathematics, an affine combination of vectors x 1, ..., x n is vector : sum {i=1}^{n}{alpha {i} cdot x {i = alpha {1} x {1} + alpha {2} x {2} + cdots +alpha {n} x {n}, called the linear combination of x 1, ..., x n , in which the sum of the… … Wikipedia
Concavo-convex — Con*ca vo con vex, a. 1. Concave on one side and convex on the other, as an eggshell or a crescent. [1913 Webster] 2. (Optics) Specifically, having such a combination of concave and convex sides as makes the focal axis the shortest line between… … The Collaborative International Dictionary of English
Double convex — Double Dou ble (d[u^]b l), a. [OE. doble, duble, double, OF. doble, duble, double, F. double, fr. L. duplus, fr. the root of duo two, and perh. that of plenus full; akin to Gr. diplo os double. See {Two}, and {Full}, and cf. {Diploma}, {Duple}.]… … The Collaborative International Dictionary of English
