• The calculus of variations (or variational calculus) is a field of mathematical analysis that uses variations, which are small changes in functions and...
    58 KB (9,524 words) - 13:16, 7 April 2025
  • 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 (1,691 words) - 15:12, 9 April 2025
  • fields, Malliavin calculus is a set of mathematical techniques and ideas that extend the mathematical field of calculus of variations from deterministic...
    16 KB (2,660 words) - 13:14, 11 May 2025
  • 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...
    10 KB (1,649 words) - 05:49, 22 April 2025
  • 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
  • propositional calculus in logic, the calculus of variations in mathematics, process calculus in computing, and the felicific calculus in philosophy....
    56 KB (6,826 words) - 16:44, 15 May 2025
  • Thumbnail for Joseph-Louis Lagrange
    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 (6,147 words) - 14:44, 25 January 2025
  • Thumbnail for Karl Weierstrass
    Karl Weierstrass (category Academic staff of the Humboldt University of Berlin)
    the calculus of variations. Among several axioms, Weierstrass established a necessary condition for the existence of strong extrema of variational problems...
    17 KB (1,662 words) - 06:55, 21 April 2025
  • Thumbnail for Siméon Denis Poisson
    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 (4,395 words) - 13:15, 7 February 2025
  • Thumbnail for Differential calculus
    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...
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  • derivative commonly used in the calculus of variations and physics. Unlike other forms of derivatives, the Gateaux differential of a function may be a nonlinear...
    15 KB (2,509 words) - 22:50, 4 August 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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  • 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...
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  • Pavel Grinfeld (category Massachusetts Institute of Technology School of Science alumni)
    professor of Applied Mathematics at Drexel University working on problems in moving surfaces in applied mathematics (particularly calculus of variations), geometry...
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  • Thumbnail for Hilbert's problems
    development of the methods of the calculus of variations. Hilbert originally included 24 problems on his list, but decided against including one of them in...
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  • Thumbnail for Leibniz–Newton calculus controversy
    In the history of calculus, the calculus controversy (German: Prioritätsstreit, lit. 'priority dispute') was an argument between mathematicians Isaac...
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  • Thumbnail for Jesse Douglas
    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...
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  • Thumbnail for Laurence Chisholm Young
    Laurence Chisholm Young (category Variational analysts)
    contributions to measure theory, the calculus of variations, optimal control theory, and potential theory. He was the son of William Henry Young and Grace Chisholm...
    13 KB (1,076 words) - 19:56, 26 March 2024
  • Thumbnail for Michael Struwe
    Michael Struwe (category Academic staff of ETH Zurich)
    1955 in Wuppertal) is a German mathematician who specializes in calculus of variations and nonlinear partial differential equations. He won the 2012 Cantor...
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  • Thumbnail for Maria Colombo (mathematician)
    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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  • Thumbnail for Brachistochrone curve
    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 (6,096 words) - 20:13, 14 May 2025
  • (disambiguation) Variations on a Theme (disambiguation) Rate of change (disambiguation) Repetition (disambiguation) Variant (disambiguation) Calculus of variations, a...
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  • in mathematical studies, a variational principle is one that enables a problem to be solved using calculus of variations, which concerns finding functions...
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  • Thumbnail for Optimal control
    problems within the framework of optimal control theory. Optimal control is an extension of the calculus of variations, and is a mathematical optimization...
    32 KB (4,734 words) - 06:28, 25 April 2025
  • Thumbnail for Geodesic
    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...
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  • theorem (calculus of variations) Isoperimetric theorem (curves, calculus of variations) Minimax theorem (game theory) Mountain pass theorem (calculus of variations)...
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  • Hanno Rund (category Academic staff of the University of Waterloo)
    Hamilton-Jacobi theory in the calculus of variations. Its role in mathematics and physics. Rund received his Ph.D. in 1950 from the University of Cape Town, South...
    3 KB (229 words) - 21:53, 7 May 2025
  • Thumbnail for Constantin Carathéodory
    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...
    44 KB (4,926 words) - 08:10, 12 April 2025
  • Thumbnail for Charles B. Morrey Jr.
    Charles B. Morrey Jr. (category Variational analysts)
    mathematician who made fundamental contributions to the calculus of variations and the theory of partial differential equations. Charles Bradfield Morrey...
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  • measures have applications in the calculus of variations, especially models from material science, and the study of nonlinear partial differential equations...
    12 KB (2,310 words) - 13:32, 4 October 2024