convex function
41Indirect utility function — In economics, a consumer s indirect utility functionv(p, w) gives the consumer s maximal utility when faced with a price level p and an amount of income w. It represents the consumer s preferences over market conditions.This function is called… …
42Self-concordant function — In optimization, a self concordant function is a function f:mathbb{R} ightarrow mathbb{R} for which: |f (x)| leq 2 f (x)^{3/2}.A function g(x) : mathbb{R}^n ightarrow mathbb{R} is self concordant if its restriction to any arbitrary line is self… …
43Quasi-analytic function — In mathematics, a quasi analytic class of functions is a generalization of the class of real analytic functions based upon the following fact. If f is an analytic function on an interval , and at some point f and all of its derivatives are zero,… …
44Prandtl-Meyer function — describes the angle through which a flow can turn isentropically for the given initial and final Mach number. It is the maximum angle through which a sonic (M = 1) flow can be turned around a convex corner. For an ideal gas, it is expressed as… …
45Mathematical optimization — For other uses, see Optimization (disambiguation). The maximum of a paraboloid (red dot) In mathematics, computational science, or management science, mathematical optimization (alternatively, optimization or mathematical programming) refers to… …
46List of mathematics articles (C) — NOTOC C C closed subgroup C minimal theory C normal subgroup C number C semiring C space C symmetry C* algebra C0 semigroup CA group Cabal (set theory) Cabibbo Kobayashi Maskawa matrix Cabinet projection Cable knot Cabri Geometry Cabtaxi number… …
47Linear programming — (LP, or linear optimization) is a mathematical method for determining a way to achieve the best outcome (such as maximum profit or lowest cost) in a given mathematical model for some list of requirements represented as linear relationships.… …
48Jensen's inequality — In mathematics, Jensen s inequality, named after the Danish mathematician Johan Jensen, relates the value of a convex function of an integral to the integral of the convex function. It was proved by Jensen in 1906 [Jensen, J. Sur les fonctions… …
49Subderivative — In mathematics, the concepts of subderivative, subgradient, and subdifferential arise in convex analysis, that is, in the study of convex functions, often in connection to convex optimization. Let f : I →R be a real valued convex function defined …
50Legendre transformation — f(x) . The function is shown in red, and the tangent line at point (x 0, f(x 0)) is shown in blue. The tangent line intersects the vertical axis at (0, f^star) and f^star is the value of the Legendre transform f^star(p 0) , where p 0=dot{f}(x 0) …
