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1. Poincaré (crater): Poincaré is a large lunar impact basin that lies in the southern hemisphere on the far side of the Moon. Most of the formation has been heavily eroded by subsequent impacts, leaving a battered formation with only rugged remnants of the ... (Crater) [100%] 2023-12-17 [Impact craters on the Moon] [Henri Poincaré]...
2. Henri Poincaré: Henri Poincaré April 29, 1854 Nancy, France Paris, France Jules Henri Poincaré (April 29, 1854 – July 17, 1912), generally known as Henri Poincaré, was one of France's greatest mathematicians and theoretical physicists, and a philosopher of science. He is often described as ... [70%] 2023-02-04
3. Poincaré duality: An isomorphism between the $ p $-dimensional homology groups (or modules) of an $ n $-dimensional manifold $ M $ (including a generalized manifold) with coefficients in a locally constant system of groups (modules) $ {\mathcal G} $, each isomorphic to $ G $, and the $ ( n - p ... (Mathematics) [70%] 2023-12-19
4. Poincaré inequality: Let $f\in W^1_p(\mathbb R^n)$, $1\leqslant p < n$ and $p^* = \frac{np}{n-p}$ then the following inequality holds \begin{equation}\label{eq:1} \Bigl(\int\limits_{B}|f(x)-f_B|^{p^*}\,dx\Bigr)^{\frac{1 ... (Mathematics) [70%] 2023-10-24
5. Poincaré problem: This page is deficient and requires revision. Please see Talk:Poincaré problem for further comments. (Mathematics) [70%] 2023-12-15
6. Poincaré space: A Poincaré space of formal dimension $ n $ is a topological space $ X $ in which is given an element $ \mu \in H _ {n} ( X) = \mathbf Z $ such that the homomorphism $ \cap \mu : H ^ {k} ( X) \rightarrow H _ {n-} k ( X ... (Mathematics) [70%] 2023-12-15
7. Raymond Poincaré: Raymond Poincaré (* 20. August 1860 in Bar-le-Duc, Département Meuse; † 15. [70%] 2023-06-15
8. Henri Poincaré: Henri Poincaré April 29, 1854 Nancy, France Paris, France Jules Henri Poincaré (April 29, 1854 – July 17, 1912), generally known as Henri Poincaré, was one of France's greatest mathematicians and theoretical physicists, and a philosopher of science. He is often described as ... [70%] 2023-02-04
9. Poincaré series (modular form): In number theory, a Poincaré series is a mathematical series generalizing the classical theta series that is associated to any discrete group of symmetries of a complex domain, possibly of several complex variables. In particular, they generalize classical Eisenstein series. (Modular form) [70%] 2023-12-16 [Automorphic forms] [Modular forms]...
10. Poincaré equations: General equations of the mechanics of holonomic systems (cf. Holonomic system) presented with the help of a certain Lie algebra of infinitesimal transformations. (Mathematics) [70%] 2024-01-21
11. Poincaré space: In algebraic topology, a Poincaré space is 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 ... [70%] 2023-11-28 [Algebraic topology] [Abstract algebra]...
12. 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 or Riemann surfaces. (Metric tensor describing constant negative (hyperbolic) curvature) [70%] 2023-12-16 [Conformal geometry] [Hyperbolic geometry]...
13. Poincaré divisor: The divisor given by the natural polarization over the Jacobian (cf. Jacobi variety) of an algebraic curve. (Mathematics) [70%] 2023-06-11
14. Poincaré theorem: Let a vector field $ X $ be defined on a smooth closed two-dimensional Riemannian manifold $ V $ (cf. Vector field on a manifold) and let it have a finite number of isolated singular points $ A _ {1}, \dots, A _ {k ... (Mathematics) [70%] 2023-12-20
15. Henri Poincaré: Jules Henri Poincaré [pwɛ̃kaˈʀe] (* 29. April 1854 in Nancy; † 17. [70%] 2023-09-05
16. Poincaré sphere: The sphere in the space $\mathbf R^{3}$ with diametrically-opposite points identified. The Poincaré sphere is diffeomorphic to the projective plane $\mathbf R P ^ {2} $. (Mathematics) [70%] 2023-12-16
17. Poincaré group: The Poincaré group, named after Henri Poincaré (1906), was first defined by Hermann Minkowski (1908) as the group of Minkowski spacetime isometries. It is a ten-dimensional non-abelian Lie group that is of importance as a model in our understanding of ... (Physics) [70%] 2023-12-10 [Lie groups] [Quantum field theory]...
18. Poincaré Seminars: The Poincaré Seminars, named for the mathematician and theoretical physicist Henri Poincaré, were founded in 2001. They are nicknamed "Bourbaphy" for their inspiration by the Bourbaki Seminars. [70%] 2023-12-21 [Physics conferences]
19. Henri Poincaré: Jules Henri Poincaré (UK: /ˈpwæ̃kɑːreɪ/, US: /ˌpwæ̃kɑːˈreɪ/; French: [ɑ̃ʁi pwɛ̃kaʁe] ; 29 April 1854 – 17 July 1912) was a French mathematician, theoretical physicist, engineer, and philosopher of science. He is often described as a polymath, and in mathematics as "The Last Universalist", since he ... (French mathematician, physicist and engineer (1854–1912)) [70%] 2023-12-19 [1854 births] [1912 deaths]...
20. Poincaré complex: A generalization of the concept of a manifold; a space with homology groups having, in a certain sense, the same structure as the homology groups of a closed orientable manifold. H. (Mathematics) [70%] 2023-12-16