- Poincaré theorem
- теорема Пуанкаре
English-russian dictionary of physics. 2013.
Poincaré theorem
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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
Poincaré recurrence theorem — In mathematics, the Poincaré recurrence theorem states that certain systems will, after a sufficiently long time, return to a state very close to the initial state. The Poincaré recurrence time is the length of time elapsed until the recurrence.… … Wikipedia
Poincaré–Hopf theorem — In mathematics, the Poincaré–Hopf theorem (also known as the Poincaré–Hopf index formula, Poincaré–Hopf index theorem, or Hopf index theorem) is an important theorem in differential topology. It is named after Henri Poincaré and Heinz Hopf.The… … Wikipedia
Poincaré duality — In mathematics, the Poincaré duality theorem, named after Henri Poincaré, is a basic result on the structure of the homology and cohomology groups of manifolds. It states that if M is an n dimensional compact oriented manifold, then the k th… … Wikipedia
Poincaré conjecture — In mathematics, the Poincaré conjecture (French, pronounced|pwɛ̃kaʀe) [cite encyclopedia | encyclopedia=The American Heritage Dictionary of the English Language | title=Poincaré, Jules Henri | url=http://www.bartleby.com/61/3/P0400300.html |… … Wikipedia
Poincaré–Bendixson theorem — In mathematics, the Poincaré–Bendixson theorem is a statement about the long term behaviour of orbits of continuous dynamical systems on the plane. Overview The Poincaré–Bendixson theorem states that any orbit which stays in a compact region of… … Wikipedia
Poincaré-Hopf-Theorem — Das Poincaré–Hopf Theorem ist ein wichtiger mathematischer Satz der Differentialtopologie. Es ist auch als Poincaré Hopf Index Formel, Poincaré Hopf Index Theorem oder Hopf Index Theorem bekannt. Der Satz ist nach Henri Poincaré und Heinz Hopf… … Deutsch Wikipedia
Poincaré half-plane model — Stellated regular heptagonal tiling of the model.In non Euclidean geometry, the Poincaré half plane model is the upper half plane, together with a metric, the Poincaré metric, that makes it a model of two dimensional hyperbolic geometry.It is… … Wikipedia
Poincaré-Bendixson-Theorem — In der Mathematik ist das Poincaré–Bendixson Theorem ein Satz über das Verhalten von Bahnkurven in zweidimensionalen stetigen dynamischen Systemen. Theorem Das Theorem existiert in einigen äquivalenten Formulierungen. Eine allgemeine Version ist… … Deutsch Wikipedia
Poincaré–Bendixson Theorem — In der Mathematik ist das Poincaré–Bendixson Theorem ein Satz über das Verhalten von Bahnkurven in zweidimensionalen stetigen dynamischen Systemen. Theorem Das Theorem existiert in einigen äquivalenten Formulierungen. Eine davon ist die folgende … Deutsch Wikipedia
Poincaré metric — In mathematics, the Poincaré metric, named after Henri Poincaré, is the metric tensor describing a two dimensional surface of constant negative curvature. It is the natural metric commonly used in a variety of calculations in hyperbolic geometry… … Wikipedia
