Phrase Hound found 13 phrases and 1 compound words that contain poincaré. The most common are listed below. Open poincaré in the live search for definitions, filters, and the full list.
Phrases 13
- Poincaré conjectureThe theorem that the only simply connected, closed 3-dimensional manifold is a sphere.
- Poincaré-Birkhoff-Witt theoremA result giving an explicit description of the universal enveloping algebra of a Lie algebra.
- Poincaré diskThe hyperbolic plane, viewed as a disk so that Euclidean circles and lines Euclidean-perpendicular to the disk's surface are hyperbolic lines.
- Poincaré spaceAn n-dimensional topological space with a distinguished element µ of its nth homology group such that taking the cap product with an element of the kth cohomology group yields an isomorphism to the (n − k)th cohomology group.
- Poincaré discAlternative form of Poincaré disk: The hyperbolic plane, viewed as a disk so that Euclidean circles and lines Euclidean-perpendicular to the disk's surface are hyperbolic lines.
- Poincaré mapThe intersection of a periodic orbit in the state space of a continuous dynamical system with a certain lower-dimensional subspace (the Poincaré section), transversal to the flow of the system.
- Poincaré recurrence timeOf certain systems, the total amount of time required for the system to revert to a state that is almost identical to its current state.
- Poincaré ballThe equivalent of a Poincaré disk in three or more dimensions.
- Poincaré discsplural of Poincaré disc: The hyperbolic plane, viewed as a disk so that Euclidean circles and lines Euclidean-perpendicular to the disk's surface are hyperbolic lines.
- Poincaré disksplural of Poincaré disk: The hyperbolic plane, viewed as a disk so that Euclidean circles and lines Euclidean-perpendicular to the disk's surface are hyperbolic lines.
- Poincaré mapsplural of Poincaré map: The intersection of a periodic orbit in the state space of a continuous dynamical system with a certain lower-dimensional subspace (the Poincaré section), transversal to the flow of the system.
- Poincaré recurrence timesplural of Poincaré recurrence time: Of certain systems, the total amount of time required for the system to revert to a state that is almost identical to its current state.
- Poincaré spacesplural of Poincaré space: An n-dimensional topological space with a distinguished element µ of its nth homology group such that taking the cap product with an element of the kth cohomology group yields an isomorphism to the (n − k)th …
Compound words 1
- PoincaréanOf or relating to Henri Poincaré (1854–1912), French mathematician, theoretical physicist, engineer, and philosopher of science.