extremum of functional

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• Calculus of variations — is a field of mathematics that deals with extremizing functionals, as opposed to ordinary calculus which deals with functions. A functional is usually a mapping from a set of functions to the real numbers. Functionals are often formed as definite …   Wikipedia

• Maxima and minima — For other uses, see Maxima (disambiguation) and Maximum (disambiguation). For use in statistics, see Maximum (statistics). Local and global maxima and minima for cos(3πx)/x, 0.1≤x≤1.1 In mathematics, the maximum and minimum (plural: maxima and… …   Wikipedia

• Euler–Lagrange equation — In calculus of variations, the Euler–Lagrange equation, or Lagrange s equation is a differential equation whose solutions are the functions for which a given functional is stationary. It was developed by Swiss mathematician Leonhard Euler and… …   Wikipedia

• Action (physics) — In physics, the action is a particular quantity in a physical system that can be used to describe its operation. Action is an alternative to differential equations. The action is not necessarily the same for different types of systems.The action… …   Wikipedia

• Maximum likelihood — In statistics, maximum likelihood estimation (MLE) is a method of estimating the parameters of a statistical model. When applied to a data set and given a statistical model, maximum likelihood estimation provides estimates for the model s… …   Wikipedia

• Extreme physical information — (EPI) is a principle, first described and formulated in 1998 Frieden, B. Roy Physics from Fisher Information: A Unification , 1st Ed. Cambridge University Press, ISBN 0 521 63167 X, pp328, 1998 ( [ref name= Frieden6 ] shows 2nd Ed.)] by B. Roy… …   Wikipedia

• Hamilton's principle — In physics, Hamilton s principle is William Rowan Hamilton s formulation of the principle of stationary action (see that article for historical formulations). It states that the dynamics of a physical system is determined by a variational problem …   Wikipedia

• Lagrange multipliers on Banach spaces — In the field of calculus of variations in mathematics, the method of Lagrange multipliers on Banach spaces can be used to solve certain infinite dimensional constrained optimization problems. The method is a generalization of the classical method …   Wikipedia

• Golden section search — The golden section search is a technique for finding the extremum (minimum or maximum) of a unimodal function by successively narrowing the range of values inside which the extremum is known to exist. The technique derives its name from the fact… …   Wikipedia

• History of variational principles in physics — A variational principle in physics is an alternative method for determining the state or dynamics of a physical system, by identifying it as an extremum (minimum, maximum or saddle point) of a function or functional. This article describes the… …   Wikipedia

• Gauge fixing — Quantum field theory (Feynman diagram) …   Wikipedia