The calculus of variations (or variational calculus) is a field of mathematical analysis that uses variations, which are small changes in functions and...
56 KB (9,266 words) - 23:54, 16 September 2024
In mathematics, specifically in the calculus of variations, a variation δf of a function f can be concentrated on an arbitrarily small interval, but not...
9 KB (1,621 words) - 13:22, 11 September 2024
fields, Malliavin calculus is a set of mathematical techniques and ideas that extend the mathematical field of calculus of variations from deterministic...
13 KB (2,033 words) - 16:23, 12 July 2024
Geodesic (category Pages displaying short descriptions of redirect targets via Module:Annotated link)
Christoffel symbols of the metric. This is the geodesic equation, discussed below. Techniques of the classical calculus of variations can be applied to...
27 KB (3,685 words) - 23:40, 3 May 2024
differential calculus is a subfield of calculus that studies the rates at which quantities change. It is one of the two traditional divisions of calculus, the...
31 KB (4,447 words) - 16:11, 19 September 2024
Karl Weierstrass (category Academic staff of the Humboldt University of Berlin)
properties of continuous functions on closed and bounded intervals. Weierstrass also made advances in the field of calculus of variations. Using the apparatus...
16 KB (1,633 words) - 19:08, 23 September 2024
Joseph-Louis Lagrange (category Members of the French Academy of Sciences)
one of his students was François Daviet. Lagrange is one of the founders of the calculus of variations. Starting in 1754, he worked on the problem of the...
47 KB (6,146 words) - 21:22, 1 September 2024
propositional calculus in logic, the calculus of variations in mathematics, process calculus in computing, and the felicific calculus in philosophy....
49 KB (5,993 words) - 20:23, 15 August 2024
In the calculus of variations, a subfield of mathematics, quasiconvexity is a generalisation of the notion of convexity. It is used to characterise the...
12 KB (1,686 words) - 20:42, 13 July 2024
of R n {\displaystyle \mathbb {R} ^{n}} or a measure space Calculus of variations in mathematical analysis, a method of finding maxima and minima of functionals...
3 KB (378 words) - 05:36, 2 May 2023
mathematics, the direct method in the calculus of variations is a general method for constructing a proof of the existence of a minimizer for a given functional...
12 KB (2,312 words) - 08:03, 16 April 2024
Hilbert's problems (redirect from List of Hilbert's problems)
Further development of the methods of the calculus of variations. Hilbert's problems ranged greatly in topic and precision. Some of them, like the 3rd...
41 KB (3,738 words) - 12:55, 21 September 2024
development of the calculus of variations. His statement of the problem is a summary of the state-of-the-art (in 1900) of the theory of calculus of variations, with...
5 KB (573 words) - 17:51, 8 August 2024
eponym of all of the topics listed below. There are over 100 topics all named after this German mathematician and scientist, all in the fields of mathematics...
14 KB (1,124 words) - 14:42, 31 July 2024
Functional derivative (redirect from Variational derivative)
In the calculus of variations, a field of mathematical analysis, the functional derivative (or variational derivative) relates a change in a functional...
29 KB (5,115 words) - 06:37, 16 May 2024
Siméon Denis Poisson (category Members of the Chamber of Peers of the July Monarchy)
statistics, complex analysis, partial differential equations, the calculus of variations, analytical mechanics, electricity and magnetism, thermodynamics...
34 KB (4,390 words) - 03:17, 18 September 2024
Ricci calculus, calculus of variations, lambda calculus, sequent calculus, and process calculus. Furthermore, the term "calculus" has variously been applied...
73 KB (8,584 words) - 17:42, 20 September 2024
Jesse Douglas (category Variational analysts)
part of the calculus of variations and is also known as the soap bubble problem. Douglas also made significant contributions to the inverse problem of the...
6 KB (532 words) - 05:56, 15 May 2024
in mathematical studies, a variational principle is one that enables a problem to be solved using calculus of variations, which concerns finding functions...
5 KB (494 words) - 17:06, 5 February 2024
Ennio De Giorgi (category Members of the French Academy of Sciences)
the advanced theory of minimal surfaces and calculus of variations forever. The proof required De Giorgi to develop his own version of geometric measure...
21 KB (2,115 words) - 12:14, 29 June 2024
Maria Colombo (mathematician) (category University of Pisa alumni)
mathematical analysis, calculus of variations and partial differential equations. Colombo was born in Luino, near the Swiss border of Italy. She competed...
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or system of calculation. Calculus may refer to: Calculus (spider), a genus of the family Oonopidae Caseolus calculus, a genus and species of small land...
5 KB (671 words) - 05:49, 20 August 2024
Brachistochrone curve (redirect from Curve of fastest descent)
tools from the calculus of variations and optimal control. The curve is independent of both the mass of the test body and the local strength of gravity. Only...
37 KB (6,021 words) - 02:36, 18 September 2024
Constantin Carathéodory (category Variational analysts)
spent most of his professional career in Germany. He made significant contributions to real and complex analysis, the calculus of variations, and measure...
43 KB (4,812 words) - 07:40, 23 September 2024
Ostrogradsky instability (category Calculus of variations)
mathematics, the Ostrogradsky instability is a feature of some solutions of theories having equations of motion with more than two time derivatives (higher-derivative...
8 KB (1,356 words) - 08:03, 23 October 2023
Dirichlet's principle (category Calculus of variations)
Calculus of Variations I, Springer A. F. Monna (1975), Dirichlet's principle: A mathematical comedy of errors and its influence on the development of...
4 KB (573 words) - 05:42, 8 November 2023
Action (physics) (category Calculus of variations)
developed early versions of the action principle. Joseph Louis Lagrange clarified the mathematics when he invented the calculus of variations. William Rowan Hamilton...
23 KB (2,994 words) - 15:23, 8 September 2024
Fréchet derivative (category Generalizations of the derivative)
derivative used widely in the calculus of variations. Generally, it extends the idea of the derivative from real-valued functions of one real variable to functions...
23 KB (4,690 words) - 07:04, 19 May 2024
Variational may refer to: Look up variational or variation in Wiktionary, the free dictionary. Calculus of variations, a field of mathematical analysis...
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Costate equation (category Calculus of variations)
H}{\partial x}}} where the right-hand side is the vector of partial derivatives of the negative of the Hamiltonian with respect to the state variables. The...
3 KB (279 words) - 11:43, 18 July 2022