# maximum principle

maximum principle
the theorem that a function of a complex variable that is analytic in a domain and on its boundary attains its maximum absolute value on the boundary. Also called maximum modulus principle.

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Universalium. 2010.

### См. также в других словарях:

• Maximum principle — This article describes the maximum principle in the theory of partial differential equations. For the maximum principle in optimal control theory, see Pontryagin s minimum principle. In mathematics, the maximum principle is a property of… …   Wikipedia

• maximum principle — maksimumo metodas statusas T sritis automatika atitikmenys: angl. maximum principle; principle of Pontryagin vok. Maximumprinzip, n; Pontrjaginprinzip, n rus. принцип максимума, m; принцип Понтрягина, m pranc. théorème de Pontryagine, m; théorème …   Automatikos terminų žodynas

• maximum principle — maksimumo principas statusas T sritis fizika atitikmenys: angl. maximum principle vok. Maximumprinzip, n rus. принцип максимума, m pranc. principe de maximum, m …   Fizikos terminų žodynas

• maximum principle — Math. the theorem that a function of a complex variable that is analytic in a domain and on its boundary attains its maximum absolute value on the boundary. Also called maximum modulus principle …   Useful english dictionary

• Hopf maximum principle — The Hopf maximum principle is a maximum principle in the theory of second order elliptic partial differential equations and has been described as the classic and bedrock result of that theory. Generalizing the maximum principle for harmonic… …   Wikipedia

• Maximum modulus principle — A plot of the modulus of cos(z) (in red) for z in the unit disk centered at the origin (shown in blue). As predicted by the theorem, the maximum of the modulus cannot be inside of the disk (so the highest value on the red surface is somewhere… …   Wikipedia

• principle of Pontryagin — maksimumo metodas statusas T sritis automatika atitikmenys: angl. maximum principle; principle of Pontryagin vok. Maximumprinzip, n; Pontrjaginprinzip, n rus. принцип максимума, m; принцип Понтрягина, m pranc. théorème de Pontryagine, m; théorème …   Automatikos terminų žodynas

• Maximum power principle — in Energy Systems Language adapted from Odum and Odum 2000, p. 38 The maximum power principle has been proposed as the fourth principle of energetics in open system thermodynamics, where an example of an open system is a biological cell.… …   Wikipedia

• Maximum entropy spectral analysis — (MaxEnt spectral analysis) is a method of improving spectral quality based on the principle of maximum entropy. It is simply the application of maximum entropy modeling to any type of spectrum and is used in all fields where data is presented in… …   Wikipedia

• Maximum entropy — may refer to: The principle of maximum entropy The maximum entropy probability distribution Maximum entropy spectral estimation Maximum entropy spectral analysis Maximum entropy thermodynamics The law of maximum entropy production Entropy… …   Wikipedia

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