Birkhoff's theorem

Birkhoff's theorem

Birkhoff's theorem may refer to:

* Birkhoff's theorem (relativity)
* Birkhoff's theorem (electromagnetism)
* Birkhoff's ergodic theorem
* Birkhoff's HSP theorem, concerning the closure operations of homomorphism, subalgebra and product
* A first representation theory for distributive lattices, due to Garrett Birkhoff


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  • Birkhoff's theorem (relativity) — In general relativity, Birkhoff s theorem states that any spherically symmetric solution of the vacuum field equations must be stationary and asymptotically flat. This means that the exterior solution must be given by the Schwarzschild metric.The …   Wikipedia

  • Birkhoff's theorem (electromagnetism) — In physics, in the context of electromagnetism, Birkhoff s theorem concerns spherically symmetric static solutions of Maxwell s field equations of electromagnetism. The theorem is due to George D. Birkhoff. It states that any spherically… …   Wikipedia

  • Poincaré–Birkhoff–Witt theorem — In the theory of Lie algebras, the Poincaré–Birkhoff–Witt theorem (Poincaré (1900), G. D. Birkhoff (1937), Witt (1937); frequently contracted to PBW theorem) is a result giving an explicit description of the universal enveloping algebra of a Lie… …   Wikipedia

  • Birkhoff — is the surname of: * Garrett Birkhoff (1911 1996), American mathematician, son of George D. * George David Birkhoff (1884 1944), American mathematicianThings named after George David Birkhoff: * Birkhoff (crater) * Birkhoff interpolation *… …   Wikipedia

  • Birkhoff — ist der Familienname folgender Personen: Christine Birkhoff, Pseudonym einer deutschen Autorin George David Birkhoff (1884–1944), US amerikanischer Mathematiker Garrett Birkhoff (1911–1996), US amerikanischer Mathematiker Siehe auch: George David …   Deutsch Wikipedia

  • Birkhoff-Theorem — Das Birkhoff Theorem (nach George David Birkhoff 1923) besagt: Befindet sich eine Testmasse im externen Gravitationsfeld einer sphärisch symmetrischen Massenverteilung, so wirkt die Massenverteilung wie eine Punktmasse. Das Birkhoff Theorem… …   Deutsch Wikipedia

  • Birkhoff, George David — ▪ American mathematician born March 21, 1884, Overisel, Michigan, U.S. died November 12, 1944, Cambridge, Massachusetts       foremost American mathematician of the early 20th century, who formulated the ergodic theorem.       Birkhoff attended… …   Universalium

  • Birkhoff , George David — (1884–1944) American mathematician Birkhoff, who was born in Overisel, Michigan, studied at the Lewis Institute (now the Illinois Institute of Technology) from 1896 to 1902, and subsequently at the University of Chicago and at Harvard. In 1907 he …   Scientists

  • Birkhoff polytope — The Birkhoff polytope B n is the convex polytope in R N (where N = n ²) whose points are the doubly stochastic matrices, i.e., the n times; n matrices whose entries are nonnegative real numbers and whose rows and columns each add up to 1.The… …   Wikipedia

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