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24 relations: Anatoly Fomenko, Arc length, Calculus of variations, Dimension, Dirichlet's principle, Double bubble conjecture, Ennio de Giorgi, Fields Medal, Frederick J. Almgren Jr., Geometric measure theory, Herbert Federer, Hypersurface, Jenny Harrison, Jesse Douglas, Joseph Plateau, Joseph-Louis Lagrange, Mathematics, Minimal surface, Plateau's laws, Singularity (mathematics), Soap film, Stretched grid method, Tibor Radó, Varifold.
Anatoly Fomenko
Anatoly Timofeevich Fomenko (Анато́лий Тимофе́евич Фоме́нко) (born 13 March 1945 in Stalino, USSR) is a Soviet and Russian mathematician, professor at Moscow State University, well known as a topologist, and a member of the Russian Academy of Sciences.
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Arc length
Determining the length of an irregular arc segment is also called rectification of a curve.
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Calculus of variations
Calculus of variations is a field of mathematical analysis that uses variations, which are small changes in functions and functionals, to find maxima and minima of functionals: mappings from a set of functions to the real numbers.
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Dimension
In physics and mathematics, the dimension of a mathematical space (or object) is informally defined as the minimum number of coordinates needed to specify any point within it.
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Dirichlet's principle
In mathematics, and particularly in potential theory, Dirichlet's principle is the assumption that the minimizer of a certain energy functional is a solution to Poisson's equation.
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Double bubble conjecture
In the mathematical theory of minimal surfaces, the double bubble conjecture states that the shape that encloses and separates two given volumes and has the minimum possible surface area is a standard double bubble — three spherical surfaces meeting at angles of 2/3 on a common circle.
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Ennio de Giorgi
Ennio De Giorgi (8 February 1928 – 25 October 1996) was an Italian mathematician, member of the House of Giorgi, who worked on partial differential equations and the foundations of mathematics.
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Fields Medal
The Fields Medal is a prize awarded to two, three, or four mathematicians under 40 years of age at the International Congress of the International Mathematical Union (IMU), a meeting that takes place every four years.
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Frederick J. Almgren Jr.
Frederick Justin Almgren Jr. (July 3, 1933, in Birmingham, Alabama – February 5, 1997, in Princeton, New Jersey) was a mathematician working in geometric measure theory.
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Geometric measure theory
In mathematics, geometric measure theory (GMT) is the study of geometric properties of sets (typically in Euclidean space) through measure theory.
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Herbert Federer
Herbert Federer (July 23, 1920 – April 21, 2010) was an American mathematician.
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Hypersurface
In geometry, a hypersurface is a generalization of the concepts of hyperplane, plane curve, and surface.
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Jenny Harrison
Jenny Harrison is a professor of mathematics at the University of California, Berkeley.
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Jesse Douglas
Jesse Douglas (3 July 1897 – 7 September 1965) was an American mathematician and Fields Medalist known for his general solution of the Problem of Plateau.
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Joseph Plateau
Joseph Antoine Ferdinand Plateau (14 October 1801 – 15 September 1883) was a Belgian physicist.
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Joseph-Louis Lagrange
Joseph-Louis Lagrange (or;; born Giuseppe Lodovico Lagrangia, Encyclopædia Britannica or Giuseppe Ludovico De la Grange Tournier, Turin, 25 January 1736 – Paris, 10 April 1813; also reported as Giuseppe Luigi Lagrange or Lagrangia) was an Italian Enlightenment Era mathematician and astronomer.
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Mathematics
Mathematics (from Greek μάθημα máthēma, "knowledge, study, learning") is the study of such topics as quantity, structure, space, and change.
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Minimal surface
In mathematics, a minimal surface is a surface that locally minimizes its area.
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Plateau's laws
Plateau's laws describe the structure of soap films.
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Singularity (mathematics)
In mathematics, a singularity is in general a point at which a given mathematical object is not defined, or a point of an exceptional set where it fails to be well-behaved in some particular way, such as differentiability.
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Soap film
Soap films are thin layers of liquid (usually water-based) surrounded by air.
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Stretched grid method
The stretched grid method (SGM) is a numerical technique for finding approximate solutions of various mathematical and engineering problems that can be related to an elastic grid behavior.
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Tibor Radó
Tibor Radó (June 2, 1895 – December 29, 1965) was a Hungarian mathematician who moved to the United States after World War I.
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Varifold
In mathematics, a varifold is, loosely speaking, a measure-theoretic generalization of the concept of a differentiable manifold, by replacing differentiability requirements with those provided by rectifiable sets, while maintaining the general algebraic structure usually seen in differential geometry.
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References
[1] https://en.wikipedia.org/wiki/Plateau's_problem
