Translation for 'convex' from English to Russian

convex-convex

двояковыпуклый {adj}оптика

• In mathematics, the subderivative, subgradient, and subdifferential generalize the derivative to convex functions which are not necessarily differentiable.
• If the objective function is concave (maximization problem), or convex (minimization problem) and the constraint set is convex, then the program is called convex and general methods from convex optimization can be used in most cases.
• A convex polyhedron is the convex hull of finitely many points, not all on the same plane. Cubes and pyramids are examples of convex polyhedra.
• This set is convex because [...] is convex, the sublevel sets of convex functions are convex, affine sets are convex, and the intersection of convex sets is convex.
• Additionally, if [...] is convex (a convex cone) then it is called a convex (coherent) acceptance set.

• A logarithmically convex function "f" is a convex function since it is the composite of the increasing convex function [...] and the function [...] , which is by definition convex.
• A QPD’s set of feasible coefficients [...] for all [...] is convex. Because convex optimization requires convex feasible sets, this property simplifies optimization applications involving QPDs.