both ends—a catenary—can be solved using variational calculus, and in this case, the variational principle is the following: The solution is a function...
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In mathematical analysis, Ekeland's variational principle, discovered by Ivar Ekeland, is a theorem that asserts that there exist nearly optimal solutions...
12 KB (2,299 words) - 18:48, 1 February 2024
In fluid dynamics, Luke's variational principle is a Lagrangian variational description of the motion of surface waves on a fluid with a free surface...
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principle Luke's variational principle Mountain pass theorem Category:Variational analysts Measures of central tendency as solutions to variational problems Stampacchia...
56 KB (9,266 words) - 23:54, 16 September 2024
wavefunctions such as molecular orbitals. The basis for this method is the variational principle. The method consists of choosing a "trial wavefunction" depending...
13 KB (2,033 words) - 21:41, 28 February 2024
In physics, a variational principle is an alternative method for determining the state or dynamics of a physical system, by identifying it as an extremum...
34 KB (4,012 words) - 20:33, 20 October 2024
Action principles (redirect from Stationary-action principle)
Feynman's integral method was not a variational principle but reduces to the classical least action principle; it led to his Feynman diagrams. Schwinger's...
32 KB (4,083 words) - 20:01, 19 October 2024
Schwinger variational principle is a variational principle which expresses the scattering T-matrix as a functional depending on two unknown wave functions...
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It states that the dynamics of a physical system are determined by a variational problem for a functional based on a single function, the Lagrangian,...
16 KB (2,268 words) - 01:32, 8 July 2024
Action (physics) (redirect from Action principle)
the principle of stationary action, an approach to classical mechanics that is simpler for multiple objects. Action and the variational principle are...
23 KB (2,998 words) - 13:57, 10 October 2024
The Schwinger's quantum action principle is a variational approach to quantum mechanics and quantum field theory. This theory was introduced by Julian...
4 KB (451 words) - 20:44, 27 September 2024
This is a list of variational topics in from mathematics and physics. See calculus of variations for a general introduction. Action (physics) Averaged...
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In information theory, the principle of minimum Fisher information (MFI) is a variational principle which, when applied with the proper constraints needed...
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In astrophysics, Chandrasekhar's variational principle provides the stability criterion for a static barotropic star, subjected to radial perturbation...
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compact set attains its minimum. Results from variational analysis such as Ekeland's variational principle allow us to extend this result of lower semicontinuous...
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Trace inequality (redirect from Gibbs variational principle)
In mathematics, there are many kinds of inequalities involving matrices and linear operators on Hilbert spaces. This article covers some important operator...
26 KB (4,516 words) - 21:37, 13 August 2024
Luke's variational principle, a variational description of free-surface flows using the Lagrangian mechanics. Bernoulli developed his principle from observations...
74 KB (10,139 words) - 12:21, 11 September 2024
Causal fermion systems (redirect from Causal variational principle)
via a variational principle, the so-called causal action principle. Since one works with different basic objects, the causal action principle has a novel...
32 KB (5,050 words) - 18:33, 13 September 2024
parameterise the variational density (for a fixed entropy variational density). This relates free energy minimization to the principle of minimum redundancy...
51 KB (6,272 words) - 00:52, 7 October 2024
Frieden's derivations is the mathematical variational principle of extreme physical information (EPI). This principle builds on the well-known idea that the...
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laws of geometrical optics under a variational principle or action principle, setting the precedent for the principle of least action in classical mechanics...
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Ivar Ekeland (category Variational analysts)
analysis, particularly to variational calculus and mathematical optimization. In mathematical analysis, Ekeland's variational principle, discovered by Ivar...
26 KB (2,261 words) - 06:53, 12 June 2024
in particular in finite element analysis, the Hu–Washizu principle is a variational principle which says that the action ∫ V e [ 1 2 ε T C ε − σ T ε +...
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wavefronts characteristic of a full wave equation, resulting from the variational principle, leads to the corresponding differential equations. The propagation...
14 KB (1,851 words) - 00:36, 4 December 2023
The Pareto principle (also known as the 80/20 rule, the law of the vital few and the principle of factor sparsity) states that for many outcomes, roughly...
24 KB (2,770 words) - 20:15, 15 August 2024
The equivalence principle is the hypothesis that the observed equivalence of gravitational and inertial mass is a consequence of nature. The weak form...
49 KB (5,583 words) - 15:20, 17 October 2024
engineering thermodynamics. A variational principle in physics, such as the principle of least action or Fermat's principle in optics, allows one to describe...
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a variational formulation, a discretization strategy, one or more solution algorithms, and post-processing procedures. Examples of the variational formulation...
60 KB (7,917 words) - 22:18, 19 October 2024
satisfies the variational condition: By differentiating Eq. (3) using the chain rule, the following equation is obtained: Due to the variational condition...
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sea bed at z = − h ( x , y ) , {\displaystyle z=-h(x,y),} Luke's variational principle δ L = 0 {\displaystyle \delta {\mathcal {L}}=0} uses the Lagrangian...
25 KB (4,161 words) - 08:20, 12 June 2024