maximum principle is one of the most useful and best known tools of study. Solutions of a differential inequality in a domain D satisfy the maximum principle...

Pontryagin's maximum principle is used in optimal control theory to find the best possible control for taking a dynamical system from one state to another...

In mathematics, the maximum modulus principle in complex analysis states that if f {\displaystyle f} is a holomorphic function, then the modulus | f |...

Bauer's maximum principle is the following theorem in mathematical optimization: Any function that is convex and continuous, and defined on a set that...

The principle of maximum entropy states that the probability distribution which best represents the current state of knowledge about a system is the one...

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...

In statistics, maximum likelihood estimation (MLE) is a method of estimating the parameters of an assumed probability distribution, given some observed...

In mathematics, the Hausdorff maximal principle is an alternate and earlier formulation of Zorn's lemma proved by Felix Hausdorff in 1914 (Moore 1982:168)...

proof of the principle itself, Shiu-Yuen Cheng and Yau were able to show that the Ricci curvature assumption in the Omori−Yau maximum principle can be replaced...

holomorphic functions. They are (real) analytic; they have a maximum principle and a mean-value principle; a theorem of removal of singularities as well as a Liouville...

The maximum power principle or Lotka's principle has been proposed as the fourth principle of energetics in open system thermodynamics. According to American...

theory. His maximum principle is fundamental to the modern theory of optimization. He also introduced the idea of a bang–bang principle, to describe...

or the logarithm. Topics in this area include "Maximum principle; Schwarz's lemma, Lindelöf principle, analogues and generalizations". A holomorphic function...

are now regarded as fundamental to the field, such as his strong maximum principle for second-order parabolic partial differential equations and the...

respectively the boundary ∂ Ω {\displaystyle \partial \Omega } . A similar maximum principle also holds for the continuous case. The SBP-SAT (summation by parts...

This is done in optimal control theory, in the form of Pontryagin's maximum principle. The fact that solutions of the method of Lagrange multipliers are...

Peter Li and Shing-Tung Yau discovered a new method for applying the maximum principle to control the solutions of the heat equation. Their results take...

Harold H. Johnson proved Dubins' result by applying Pontryagin's maximum principle. In particular, Harold H. Johnson presented necessary and sufficient...

ky).} There are many variants of the maximum principle. We give a simple one. Theorem. (Weak maximum principle.) Let u ∈ C 2 ( Ω ) ∩ C 1 ( Ω ¯ ) {\displaystyle...

The principle of maximum caliber (MaxCal) or maximum path entropy principle, suggested by E. T. Jaynes, can be considered as a generalization of the principle...

held at the Morito Hall of Tokyo University of Science. Omori−Yau maximum principle Omori, Hideki. "Isometric immersions of Riemannian manifolds." Journal...

optimal control theory was developed by Lev Pontryagin as part of his maximum principle. Pontryagin proved that a necessary condition for solving the optimal...

March 2012, Simon Brendle gave a proof of this conjecture, based on maximum principle techniques. Lawson, H. Blaine Jr. (1970). "The unknottedness of minimal...

the sphere are the constants, since harmonic functions satisfy the Maximum principle. Spherical harmonics, as functions on the sphere, are eigenfunctions...

interface design and software design, the principle of least astonishment (POLA), also known as principle of least surprise, proposes that a component...

can be viewed as an application of the principle of parsimony and as a special case of the principle of maximum entropy. In Bayesian probability, this...

strictly positive. The lemma is an important tool in the proof of the maximum principle and in the theory of partial differential equations. The Hopf lemma...

prove the existence of a solution; uniqueness can be proven using the maximum principle. The Dirichlet problem goes back to George Green, who studied the...

small variations in temperature at a later time as a result of the maximum principle. In partial differential equations one may measure the distances between...

IATA and FAA codes Proto-Malayo-Polynesian language Pontryagin's maximum principle, in mathematics This disambiguation page lists articles associated...