- strictly convex space
- строго выпуклое пространство
English-Russian scientific dictionary. 2008.
strictly convex space
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Strictly convex space — In mathematics, a strictly convex space is a normed topological vector space ( V , || ||) for which the unit ball is a strictly convex set. Put another way, a strictly convex space is one for which, given any two points x and y in the boundary ∂… … Wikipedia
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Convex conjugate — In mathematics, convex conjugation is a generalization of the Legendre transformation. It is also known as Legendre–Fenchel transformation or Fenchel transformation (after Adrien Marie Legendre and Werner Fenchel). Contents 1 Definition 2… … Wikipedia
Topological vector space — In mathematics, a topological vector space is one of the basic structures investigated in functional analysis. As the name suggests the space blends a topological structure (a uniform structure to be precise) with the algebraic concept of a… … Wikipedia
CAT(k) space — In mathematics, a CAT( k ) space is a specific type of metric space. Intuitively, triangles in a CAT( k ) space are slimmer than corresponding model triangles in a standard space of constant curvature k . In a CAT( k ) space, the curvature is… … Wikipedia
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Modulus and characteristic of convexity — In mathematics, the modulus and characteristic of convexity are measures of how convex the unit ball in a Banach space is. In some sense, the modulus of convexity has the same relationship to the ε δ definition of uniform convexity as the modulus … Wikipedia
