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 (9,263 words) - 19:21, 15 April 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... 8 KB (1,354 words) - 15:53, 25 May 2023 |
fields, Malliavin calculus is a set of mathematical techniques and ideas that extend the mathematical field of calculus of variations from deterministic... 13 KB (1,943 words) - 18:52, 12 April 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 (6,141 words) - 16:46, 20 March 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 (3,684 words) - 06:09, 31 March 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) - 09:20, 21 April 2024 |
propositional calculus in logic, the calculus of variations in mathematics, process calculus in computing, and the felicific calculus in philosophy.... 48 KB (5,968 words) - 05:46, 24 April 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 (1,619 words) - 17:42, 29 March 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 (1,620 words) - 05:59, 8 March 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... 40 KB (3,691 words) - 02:19, 8 April 2024 |
of mathematics. Examples of this convention include propositional calculus, Ricci calculus, calculus of variations, lambda calculus, sequent calculus... 73 KB (8,575 words) - 20:40, 25 April 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) - 04:00, 25 April 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... 13 KB (1,158 words) - 09:54, 17 April 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 (2,110 words) - 02:36, 10 March 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... 7 KB (554 words) - 01:43, 28 January 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 (4,733 words) - 05:51, 17 February 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... 36 KB (6,015 words) - 07:47, 23 April 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) - 06:41, 3 April 2024 |
This is a list of variational topics in from mathematics and physics. See calculus of variations for a general introduction. Action (physics) Averaged... 987 bytes (80 words) - 12:21, 5 April 2022 |
Variational may refer to: Look up variational or variation in Wiktionary, the free dictionary. Calculus of variations, a field of mathematical analysis... 891 bytes (149 words) - 20:34, 6 September 2019 |
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 (565 words) - 02:16, 8 February 2022 |
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) - 07:18, 6 April 2024 |
 | Pierre-Louis Lions (category Members of the French Academy of Sciences) known for a number of contributions to the fields of partial differential equations and the calculus of variations. He was a recipient of the 1994 Fields... 29 KB (2,106 words) - 11:18, 26 March 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 |
 | formation of potential wells, where potential energy is stored because of a barrier restricting flow to a lower energy state. Calculus of variations Mountain... 4 KB (499 words) - 19:54, 19 March 2024 |
Hamilton–Jacobi equation (redirect from Hamilton-Jacobi equations of motion) extremal geometry in generalizations of problems from the calculus of variations. It can be understood as a special case of the Hamilton–Jacobi–Bellman equation... 44 KB (8,107 words) - 16:42, 27 January 2024 |
study of numerical approximations Umbral calculus, the combinatorics of certain operations on polynomials The calculus of variations, a field of study... 5 KB (667 words) - 06:55, 8 December 2023 |