Look up Poincaré in Wiktionary, the free dictionary. Poincaré is a French surname. Notable people with the surname include: Henri Poincaré (1854–1912)...

Poincaré lemma Poincaré map Poincaré residue Poincaré series (modular form) Poincaré space Poincaré metric Poincaré plot Poincaré polynomial Poincaré...

In the mathematical field of geometric topology, the Poincaré conjecture (UK: /ˈpwæ̃kæreɪ/, US: /ˌpwæ̃kɑːˈreɪ/, French: [pwɛ̃kaʁe]) is a theorem about...

Raymond Nicolas Landry Poincaré (French: [ʁɛmɔ̃ pwɛ̃kaʁe]; 20 August 1860 – 15 October 1934) was a French statesman who served as President of France from...

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...

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...

Poincaré sphere may refer to: Poincaré sphere (optics), a graphical tool for visualizing different types of polarized light Bloch sphere, a related tool...

In geometry, the Poincaré disk model, also called the conformal disk model, is a model of 2-dimensional hyperbolic geometry in which all points are inside...

The Poincaré group, named after Henri Poincaré (1905), was first defined by Hermann Minkowski (1908) as the isometry group of Minkowski spacetime. It is...

developed new techniques in the analysis of Ricci flow, and proved the Poincaré conjecture and Thurston's geometrization conjecture, the former of which...

Poincaré theorem may refer to: Poincaré conjecture, on homeomorphisms to the sphere; Poincaré recurrence theorem, on sufficient conditions for recurrence...

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...

In mathematics, and especially topology, a Poincaré complex (named after the mathematician Henri Poincaré) is an abstraction of the singular chain complex...

In mathematics, the Poincaré lemma gives a sufficient condition for a closed differential form to be exact (while an exact form is necessarily closed)...

particularly in dynamical systems, a first recurrence map or Poincaré map, named after Henri Poincaré, is the intersection of a periodic orbit in the state space...

mathematics, the Poincaré inequality is a result in the theory of Sobolev spaces, named after the French mathematician Henri Poincaré. The inequality allows...

problem, Riemann hypothesis, Yang–Mills existence and mass gap, and the Poincaré conjecture at the Millennium Meeting held on May 24, 2000. Thus, on the...

In mathematics, the Poincaré–Bendixson theorem is a statement about the long-term behaviour of orbits of continuous dynamical systems on the plane, cylinder...

topology and dynamical systems, Poincaré–Birkhoff theorem (also known as Poincaré–Birkhoff fixed point theorem and Poincaré's last geometric theorem) states...

The Franc Poincaré is a unit of account that was used in the international regulation of liability. It was introduced on June 25, 1928, as a replacement...

Poincaré Recurrence Theorem is a foundational result in both dynamical systems and statistical mechanics. The theorem is named after Henri Poincaré,...

Henri Poincaré Medal (Médaille Henri Poincaré) is a mathematics award from the Institut de France, Academie des Sciences, Fondation Henri Poincaré. The...

Henriette Poincaré (born Henriette Adeline Benucci, (8 May 1858 – 19 May 1943) was the wife of French statesman Raymond Poincaré. Henriette Adeline Benucci...

The Henri Poincaré Prize is awarded every three years since 1997 for exceptional achievements in mathematical physics and foundational contributions leading...

In mathematics, a Poincaré–Steklov operator (after Henri Poincaré and Vladimir Steklov) maps the values of one boundary condition of the solution of an...

In mathematics, the representation theory of the Poincaré group is an example of the representation theory of a Lie group that is neither a compact group...

commonly used for hyperbolic geometry: the Klein model, the Poincaré disk model, the Poincaré half-plane model, and the Lorentz or hyperboloid model. These...

Lucien Poincaré (22 July 1862 – 9 March 1920) was a French physicist. Poincaré was born at Bar-le-Duc July 22, 1862. After a distinguished academic career...

The Henri Poincaré Institute (or IHP for Institut Henri Poincaré) is a mathematics research institute part of Sorbonne University, in association with...

A Poincaré plot, named after Henri Poincaré, is a graphical representation used to visualize the relationship between consecutive data points in time...

after Henri Poincaré: Euler–Poincaré characteristic Hilbert–Poincaré series Poincaré–Bendixson theorem Poincaré–Birkhoff theorem Poincaré–Birkhoff–Witt...

In the mathematical area of topology, the generalized Poincaré conjecture is a statement that a manifold that is a homotopy sphere is a sphere. More precisely...

In mathematics, the Poincaré–Miranda theorem is a generalization of intermediate value theorem, from a single function in a single dimension, to n functions...

In perturbation theory, the Poincaré–Lindstedt method or Lindstedt–Poincaré method is a technique for uniformly approximating periodic solutions to ordinary...

denoted by torsion coefficients. The term "Betti number" was coined by Henri Poincaré after Enrico Betti. The modern formulation is due to Emmy Noether. Betti...

κ-Poincaré or kappa-Poincaré, so named after Henri Poincaré, may refer to: K-Poincaré algebra, Kappa-Poincaré Hopf algebra K-Poincaré group, the Kappa-Poincaré...

The Poincaré Seminars, named for the mathematician and theoretical physicist Henri Poincaré, were founded in 2001. They are nicknamed "Bourbaphy" for...

Poincaré model can refer to: Poincaré disk model, a model of n-dimensional hyperbolic geometry Poincaré half-plane model, a model of two-dimensional hyperbolic...

Poincaré and the Three-Body Problem is a monograph in the history of mathematics on the work of Henri Poincaré on the three-body problem in celestial mechanics...

empirical findings obtained by Albert A. Michelson, Hendrik Lorentz, Henri Poincaré and others. It culminated in the theory of special relativity proposed...

but using homology with rational coefficients. The Poincaré homology sphere (also known as Poincaré dodecahedral space) is a particular example of a homology...

polyhedral combinatorics, the Euler characteristic (or Euler number, or Euler–Poincaré characteristic) is a topological invariant, a number that describes a topological...

In theoretical physics, a super-Poincaré algebra is an extension of the Poincaré algebra to incorporate supersymmetry, a relation between bosons and fermions...

Poincaré series may refer to Poincaré series (modular form), associated to a discrete group, in the theory of modular forms Hilbert–Poincaré series, associated...

Sobolev spaces are equivalent. Friedrichs's inequality generalizes the Poincaré–Wirtinger inequality, which deals with the case k = 1. Let Ω {\displaystyle...

"homeomorphism". Poincaré 1895. Poincaré 1899; Poincaré 1900; Poincaré 1902a; Poincaré 1902b; Poincaré 1904. Dieudonné 1989: 15–35. Poincaré, Henri (1895)...

In mathematics, the Poincaré separation theorem, also known as the Cauchy interlacing theorem, gives some upper and lower bounds of eigenvalues of a real...

In mathematics, more specifically in the theory of Lie algebras, the Poincaré–Birkhoff–Witt theorem (or PBW theorem) is a result giving an explicit description...

Henri Poincaré: French submarine Henri Poincaré, a Redoutable-class submarine commissioned in 1931 and scuttled in 1942 French ship Henri Poincaré (1968)...

The Annales Henri Poincaré (A Journal of Theoretical and Mathematical Physics) is a peer-reviewed scientific journal which collects and publishes original...

In mathematics, the Poincaré metric, named after Henri Poincaré, is the metric tensor describing a two-dimensional surface of constant negative curvature...

In number theory, a Poincaré series is a mathematical series generalizing the classical theta series that is associated to any discrete group of symmetries...

l'équation de Poincaré, Einstein et Planck: Henri Poincare et la physique". E = mc2 l'équation de Poincaré, Einstein et Planck: Henri Poincare et la physique...

In mathematics, the twisted Poincaré duality is a theorem removing the restriction on Poincaré duality to oriented manifolds. The existence of a global...

Henri Poincaré was a French Navy Redoutable-class submarine of the M6 series commissioned in 1931. She participated in World War II, first on the side...

In mathematics, the Neumann–Poincaré operator or Poincaré–Neumann operator, named after Carl Neumann and Henri Poincaré, is a non-self-adjoint compact...

unity-radius Poincaré sphere for pure polarization states (where P 0 ′ = 1 {\displaystyle P'_{0}=1} ). Partially polarized states will lie inside the Poincaré sphere...

In theoretical physics, Poincaré gauge theory (PGT) is a classical field theory that describes gravitational interactions as a gauge theory based on enforcing...

In mathematics, the Poincaré–Lelong equation, studied by Lelong (1964), is the partial differential equation i ∂ ∂ ¯ u = ρ {\displaystyle i\partial {\overline...

mathematicians) of some of the circumstances surrounding the proof of the Poincaré conjecture, one of the most important accomplishments of 20th and 21st...

In mathematics, Lefschetz duality is a version of Poincaré duality in geometric topology, applying to a manifold with boundary. Such a formulation was...

results on which he based his theories, most notably to the work of Henri Poincaré and Hendrik Lorentz for special relativity, and to the work of David Hilbert...

In non-Euclidean geometry, the Poincaré half-plane model is a way of representing the hyperbolic plane using points in the familiar Euclidean plane. Specifically...

near the edge. This is in contrast to the Poincaré disk model, which is conformal. However, lines in the Poincaré model are not represented by straight line...

maps Many people regard French mathematician Henri Poincaré as the founder of dynamical systems. Poincaré published two now classical monographs, "New Methods...

He is known for his work on the philosophy of Henri Poincaré and founded the Archives Henri Poincaré in Nancy in 1992. He is an editor of the journal Philosophia...

(1904b) Poincaré (1904); Poincaré (1905a), Ch. 8 Poincaré (1898); Poincaré (1905a), Ch. 2 Poincaré (1900b) Lorentz (1899) Poincaré (1905b) Poincaré (1906)...

Poincaré. It was published in 1904. The book deals with questions in the philosophy of science and adds detail to the topics addressed by Poincaré's previous...

Sitter-Schwarzschild McVittie Weyl Scientists Einstein Lorentz Hilbert Poincaré Schwarzschild de Sitter Reissner Nordström Weyl Eddington Friedmann Milne...

Sitter-Schwarzschild McVittie Weyl Scientists Einstein Lorentz Hilbert Poincaré Schwarzschild de Sitter Reissner Nordström Weyl Eddington Friedmann Milne...

Stokes' theorem, also known as the Kelvin–Stokes theorem, is a theorem in vector calculus that relates the behavior of a vector field along the edge of...

first ever Clay Millennium Prize Problems Award for his final proof of the Poincaré conjecture in 2002, as well as the Fields Medal in 2006. Alexander Popov...

the French mathematicians around Henri Poincaré and Charles Émile Picard. Proving results such as the Poincaré–Bendixson theorem requires the use of topological...

program, proving the Poincaré and geometrization conjectures in 2003. Perelman was awarded a Millennium Prize for resolving the Poincaré conjecture but declined...

(French: La Science et l'Hypothèse) is a book by French mathematician Henri Poincaré, first published in 1902. Aimed at a non-specialist readership, it deals...

Conference (1911), Curie (seated second from right) confers with Henri Poincaré. Standing nearby are Rutherford (fourth from right), Einstein (second from...

of algebra, a Hilbert–Poincaré series (also known under the name Hilbert series), named after David Hilbert and Henri Poincaré, is an adaptation of the...

multipolar gauge (also known as the line gauge, point gauge or Poincaré gauge (named after Henri Poincaré)) is: r ⋅ A = 0. {\displaystyle \mathbf {r} \cdot \mathbf...

awarded to it in 1915. As previously agreed with French president Raymond Poincaré, Russian plans at the start of the war were to simultaneously advance into...

conjecture Navier–Stokes existence and smoothness P versus NP problem Poincaré conjecture (solved) Riemann hypothesis Yang–Mills existence and mass gap...

listening. The thinkers whose works they reflected upon included Henri Poincaré, Ernst Mach and David Hume, all of whom significantly influenced Einstein's...

distinguished professor at the University of Miami. He received the Henri Poincaré Prize in 1997, the Fields Medal in 1998, the Crafoord Prize in 2008, the...

In mathematics, a functional equation is, in the broadest meaning, an equation in which one or several functions appear as unknowns. So, differential equations...

observer's reference frame. This possibility was raised by mathematician Henri Poincaré in 1900, and thereafter became a central idea in the special theory of...

duality is a cohomological duality in algebraic topology that generalizes Poincaré duality for manifolds. Verdier duality was introduced in 1965 by Jean-Louis...

In mathematics, the Poincaré residue is a generalization, to several complex variables and complex manifold theory, of the residue at a pole of complex...

In physics and mathematics, the κ-Poincaré algebra, named after Henri Poincaré, is a deformation of the Poincaré algebra into a Hopf algebra. In the bicrossproduct...

classification named after him and subsequently the 4-dimensional generalized Poincaré conjecture. Freedman and Robion Kirby showed that an exotic R4 manifold...

and mathematics, the κ-Poincaré group, named after Henri Poincaré, is a quantum group, obtained by deformation of the Poincaré group into a Hopf algebra...

A Sverdrup wave (also known as Poincaré wave, or rotational gravity wave) is a wave in the ocean, or large lakes, which is affected by gravity and Earth's...

Einstein synchronisation (or Poincaré–Einstein synchronisation) is a convention for synchronising clocks at different places by means of signal exchanges...

bundle P → A × A ∨ {\displaystyle P\to A\times A^{\vee }} , called the Poincaré bundle, which is a family of degree 0 line bundles parametrized by Av in...

Cayley absolute of the Poincaré disk model and the Klein disk model. The real line forms the Cayley absolute of the Poincaré half-plane model. Pasch's...

bourgeois governments. In 1912 Millerand was appointed as war minister in Poincaré's cabinet. He returned to the same post during the first year of World War...

journal's "most famous episode" (according to Villani) concerns Henri Poincaré, who won a prize offered in 1887 by Oscar II of Sweden for the best mathematical...

The Henri Poincaré University (UHP), also known as Nancy 1 (French: Université Nancy-I), was a public research university located in Nancy, France. UHP...

horocycles where the horocycles are a distance 1 apart is e : 1. In the Poincaré disk model of the hyperbolic plane, horocycles are represented by circles...

between bosons and fermions. The supersymmetry algebra contains not only the Poincaré algebra and a compact subalgebra of internal symmetries, but also contains...

point. There is a generalization of this concept to cover Poincaré covariance and Poincaré invariance. In general, the (transformational) nature of a...

mathematician, astronomer, and actuarial scientist, known for the Lindstedt-Poincaré method. Lindstedt was born in a small village in the district of Sundborns...

{\displaystyle ~(~E\geq 0~)~} energy irreducible unitary representations of the Poincaré group which have either finite or zero mass eigenvalues. (These unitary...

2012. Retrieved 24 November 2025. Nachtergaele, Bruno (2024). "2024 Henri Poincaré Prize Laudatio: Alexei Kitaev" (PDF). International Association of Mathematical...

Poincaré is a large lunar impact basin that lies in the southern hemisphere on the far side of the Moon. This class of formation is known as a peak ring...

vanishes (a p such that f(p) = 0). The theorem was first proven by Henri Poincaré for the 2-sphere in 1885, and extended to higher even dimensions in 1912...

After much deliberation, Poincaré decided to occupy the Ruhr on 11 January 1923 in order to exact the reparations. Poincaré knew that it would cost France...

normals intersect with the axis d using the formula l = d cosh r. In the Poincaré disk model of the hyperbolic plane, hypercycles are represented by lines...

interest. On a contractible domain, every closed form is exact by the Poincaré lemma. More general questions of this kind on an arbitrary differentiable...

light and the result of the Fizeau experiment. In 1900 and 1904, Henri Poincaré called local time Lorentz's "most ingenious idea" and illustrated it by...

hyperbolic geometry, where the Poincaré half-plane model provides a way of examining hyperbolic motions. The Poincaré metric provides a hyperbolic metric...

of his 24 questions, and implies several other conjectures, such as the Poincaré conjecture and Thurston's elliptization conjecture. Thurston's hyperbolization...

contributors to the theory of abelian functions were Weierstrass, Frobenius, Poincaré and Picard. The subject was very popular at the time, already having a...

mathematics, an asymptotic expansion, asymptotic series or Poincaré expansion (after Henri Poincaré) is a formal series of functions which has the property...

posted three preprints to the arXiv claiming a resolution of the renowned Poincaré conjecture, along with the more general geometrization conjecture. His...

separable complex Hilbert space. The Wightman axioms require that the Poincaré group acts unitarily on the Hilbert space. In other words, a change of...

homeomorphism (from Greek roots meaning "similar shape", named by Henri Poincaré), also called topological isomorphism, or bicontinuous function, is a bijective...

would rise by 1026 degrees per second. Poincaré noticed, "that the earth could not long stand such a regime." Poincaré also analyzed some wave models (Tommasina...

tiling) is a tiling of the hyperbolic plane, resembling a quadtree over the Poincaré half-plane model of the hyperbolic plane. The tiles are congruent, each...

certain de Rham cohomology classes are algebraic; that is, they are sums of Poincaré duals of the homology classes of subvarieties. It was formulated by the...

The Raymond Poincaré University Hospital is a public hospital of the Assistance publique - Hôpitaux de Paris (AP-HP) and a teaching hospital of Versailles...

tautological one-form is sometimes also called the Liouville one-form, the Poincaré one-form, the canonical one-form, or the symplectic potential. A similar...

an extension of the Schwarz lemma for hyperbolic geometry, such as the Poincaré half-plane model. The Schwarz–Pick lemma states that every holomorphic...

MacMahon Maréchal Messiha Messmer Necker Pécresse Pétain Peyrefitte Pichegru Poincaré Poisson de Polignac Pompidou Retailleau de La Rocque de La Tour du Pin...

mathematical physics, inversion transformations are a natural extension of Poincaré transformations to include all conformal, one-to-one transformations on...

Klein Lobachevsky Manava Minkowski Minggatu Pascal Pythagoras Parameshvara Poincaré Riemann Sakabe Sijzi al-Tusi Veblen Virasena Yang Hui al-Yasamin Zhang...

Germany in the 1920s, although not quite so much as President Raymond Poincaré or former Supreme Allied Commander Ferdinand Foch, who thought the treaty...

Council and Minister of Foreign Affairs at the request of President Raymond Poincaré, who sought in Doumergue a conciliator capable of forming a cabinet of...

the inevitable carnage. Russia had covertly subsidized Poincaré's election campaign. Poincaré had, in this theory, therefore abandoned socialism for another...

that its exterior derivative is zero. From the latter, it follows by the Poincaré lemma that in a coordinate chart it is possible to introduce an electromagnetic...

hyperbolic metric in the quadrant depends on the Poincaré half-plane metric. The motions of the Poincaré model carry over to the quadrant; in particular...

University of Kinshasa and a master's degree in public health from Henri Poincaré University, France. Since 1997, Kaseya has served Africa's public health...

over Joffre's head and speaking to the war minister and President Raymond Poincaré, was ordered not to communicate directly with the government. This left...

the proof was found in 1993. In 2006, Grigori Perelman, who proved the Poincaré conjecture, refused his Fields Medal, stating "I'm not interested in money...

he made regarding his work habits while proving the higher-dimensional Poincaré conjecture. He said that his best work had been done "on the beaches of...

papers of Lorentz, Poincaré et al. Minkowski saw Einstein's work as an extension of Lorentz's, and was most directly influenced by Poincaré. On 5 November...

but the main features of the system require non-linear methods such as Poincaré maps and bifurcation diagrams. The original Rössler paper states the Rössler...

Minister of Justice 1912-13 under the premiership of the rightwinger Raymond Poincaré (soon to become president of the Republic), before again becoming prime...

supersymmetry (SUSY) generators form together with the Poincaré algebra and superalgebra, called the super-Poincaré algebra, supersymmetry as a gauge theory makes...

Nationale de Médecine. Haller was married to a cousin of Henri Poincaré. Haller and Poincaré were close friends. A. Haller (1894) Produits chimiques et pharmaceutiques:...

elementary particle give rise to an irreducible representation of the Poincaré group. Moreover, the properties of the various particles, including their...

the theory of abelian functions were Riemann, Weierstrass, Frobenius, Poincaré, and Picard. The subject was very popular at the time, already having a...

fundamental class can be extended to the manifold with boundary case. The Poincaré duality theorem relates the homology and cohomology groups of n-dimensional...

relativity by a group of transformations of the spacetime known as the Poincaré group. Another important example is the invariance of the form of physical...

in the theory of modular forms, in the hands of Felix Klein and Henri Poincaré. The initial application that Lie had in mind was to the theory of differential...

once conjectures, such as the Geometrization theorem (which resolved the Poincaré conjecture), Fermat's Last Theorem, and others. Conjectures disproven through...

Max Dehn. Poincaré pioneered the study of three-dimensional manifolds and raised a fundamental question about them, today known as the Poincaré conjecture...

polarization state over the entire Poincaré sphere. They are commercially available with speeds of 20 Mrad/s on the Poincaré sphere (see external link). Various...

{A}}(O_{2})]=0} . Poincaré covariance: A strongly continuous unitary representation U ( P ) {\displaystyle U({\mathcal {P}})} of the Poincaré group P {\displaystyle...

Let D {\displaystyle D} be the unit disk in the complex plane with the Poincaré metric d s 2 = 4 | d z | 2 ( 1 − | z | 2 ) 2 . {\displaystyle ds^{2}={4\...

measured. The seven problems are: P versus NP The Hodge conjecture The Poincaré conjecture – solved, by Grigori Perelman The Riemann hypothesis Yang–Mills...

triangle. This fact is important in the study of δ-hyperbolic space. In the Poincaré disk model of the hyperbolic plane, an ideal triangle is bounded by three...

of the Wightman axioms is that there is a Hilbert space, upon which the Poincaré group acts unitarily. In this way, the concepts of energy, momentum, angular...

test, on a small scale, by triangulating mountain tops in Germany. Henri Poincaré, a French mathematician and physicist of the late 19th century, introduced...

EMS Prize for her contributions to the Ginzburg–Landau theory, the Henri Poincaré Prize in 2012, and the Mergier–Bourdeix Prize [fr] of the French Academy...

numbers is Mordell's theorem, answering a question apparently posed by Henri Poincaré around 1901; it was proven by Louis Mordell in 1922. It is a foundational...

homotopy sphere is necessarily a homology sphere. The topological generalized Poincaré conjecture is that any n-dimensional homotopy sphere is homeomorphic to...

empirical findings obtained by Albert A. Michelson, Hendrik Lorentz, Henri Poincaré and others. Max Planck, Hermann Minkowski and others did subsequent work...

renormalization, Poincaré Seminar (Paris, Oct. 12, 2002), published in : Duplantier, Bertrand; Rivasseau, Vincent (Eds.); Poincaré Seminar 2002, Progress...

known for his role in transcribing and editing the lectures given by Henri Poincaré and published under the title Calcul des probabilités. Quiquet graduated...

the supervision of John Milnor, with his thesis, On Spaces Satisfying Poincaré Duality. Afterwards, Spivak taught as a full-time Math Lecturer at Brandeis...

refused to be received, as he feared being received by his enemy, Raymond Poincaré. Members remain in the Académie for life. The council may dismiss an academician...

Sofia Vasilyevna Kovalevskaya (1850–1891) Evgraf Fedorov (1853–1919) Henri Poincaré (1854–1912) Luigi Bianchi (1856–1928) – differential geometry Alicia Boole...

shape of a wave with pole ⁠ p ≠ ± i {\displaystyle p\neq \pm i} ⁠. The Poincaré sphere model used since 1892 has been compared to a 2-sheet hyperboloid...

Thurston conjecture and the Poincaré conjecture, regarded as a special case of the former. It should be emphasized that the Poincaré conjecture has been a well-known...

the relativity principle. Poincaré (1905) removed this objection by showing that the non-electromagnetic potential ("Poincaré stress") holding the electron...

VII Poincaré II Poincaré III François-Marsal Gaston Doumergue Herriot I Painlevé II Painlevé III Briand VIII Briand IX Briand X Herriot II Poincaré IV...

result in symplectic topology is probably the Poincaré–Birkhoff theorem, conjectured by Henri Poincaré and then proved by G.D. Birkhoff in 1912. It claims...

Antoon (1921), "Deux Mémoires de Henri Poincaré sur la Physique Mathématique"  [Two Papers of Henri Poincaré on Mathematical Physics], Acta Mathematica...

Poincaré disk model Ideal surface...

"Too much on finance," wrote Paul Lévy. However, his instructor, Henri Poincaré, is recorded as having given some positive feedback (though insufficient...

political party created in 1901 by followers of Léon Gambetta such as Raymond Poincaré, who would be president of the Council in the 1920s. The party was originally...

1919. The result was a victory for the centre-right government of Raymond Poincaré, which had been in power since July 1926. A succession of centre-right...

was first defined by Henri Poincaré in 1885, in relation to the precession of the perihelion of a planetary orbit. Poincaré later proved a theorem characterizing...

then a lot of information can be derived from them. For example, using Poincaré duality and the Hurewicz theorem, we have the following homology groups:...

MacMahon Maréchal Messiha Messmer Necker Pécresse Pétain Peyrefitte Pichegru Poincaré Poisson de Polignac Pompidou Retailleau de La Rocque de La Tour du Pin...

Hermann Minkowski developed it from the work of Hendrik Lorentz, Henri Poincaré, and others, and said it "was grown on experimental physical grounds"....

{\displaystyle G(F)} and satisfies certain smoothness and growth conditions. Henri Poincaré first discovered automorphic forms as generalizations of trigonometric...

the theory of the Poincaré sphere for modeling the behavior of polarised light, 60 years after it was suggested by Henri Poincaré and then largely forgotten...

Staff of France In office 16 May 1917 – 29 December 1918 President Raymond Poincaré Prime Minister Alexandre Ribot Paul Painlevé Georges Clemenceau Minister...

Clay Mathematics Institute". www.claymath.org. Retrieved 2020-08-25. "Poincaré Conjecture | Clay Mathematics Institute". 2013-12-15. Archived from the...

Order-3-7 hexagonal honeycomb Poincaré disk model Type Regular honeycomb Schläfli symbol {6,3,7} Coxeter diagrams Cells {6,3} Faces {6} Edge figure {7}...

Poincaré disk model (vertex centered) One hyperideal cell limits to a circle on the ideal surface Ideal surface...

VII Poincaré II Poincaré III François-Marsal Gaston Doumergue Herriot I Painlevé II Painlevé III Briand VIII Briand IX Briand X Herriot II Poincaré IV...

by Poincaré duality. Thus algebraic properties of the Weyl group correspond to general topological properties of manifolds. For instance, Poincaré duality...

Strasbourg. She has won major prizes for her work, including the Henri Poincaré Prize in 2012. Nalini Florence Anantharaman was born in Paris in 1976 to...

derivatives were used in complex analysis at least as early as in the paper (Poincaré 1899), as briefly noted by Cherry & Ye (2001, p. 31) and by Remmert (1991...

other hand, Poincaré did not consider this measured time to be the "true time" that would be exhibited by clocks at rest in the aether. Poincaré made no attempt...

dimension, has a two-dimensional Poincaré group IO(1,1) as its symmetry group. The respective Lie algebra is called the Poincaré algebra. It is possible to...

a counterexample to the Poincaré Conjecture, if one existed. In 2002, Martin Dunwoody posted a claimed proof of the Poincaré Conjecture. Rourke identified...

3}. The "ideal surface" projection below is a plane-at-infinity, in the Poincaré half-space model of H3. It shows an Apollonian gasket pattern of circles...

invariant I is χ–4, where χ is the topological Euler–Poincaré characteristic introduced by Poincaré (1895), which is equal to the Chern number c2 of the...

properties. To solve those problems, Henri Poincaré in 1905 and 1906 introduced some sort of pressure ("Poincaré stresses") of non-electromagnetic nature...

(from French: balayage "scanning, sweeping") is a method devised by Henri Poincaré for reconstructing an harmonic function in a domain from its values on...

pairing in which one integrates a distribution against a test function, and Poincaré duality corresponds similarly to intersection number, viewed as a pairing...

focus on global, non-differentiable aspects of manifolds; for example Poincaré duality. Knot theory is the study of mathematical knots. While inspired...

122 fondations Archived 2014-10-06 at the Wayback Machine. The médaille Poincaré awarded by the French Academy of Sciences was eliminated in 1997 in favor...

(described by maps). The name "bifurcation" was first introduced by Henri Poincaré in 1885 in the first paper in mathematics showing such a behavior. It is...

extended to the Poincaré disk, where every hyperbolic triangle has one vertex on the boundary of the disk. The tiling of the Poincaré disk is given in...

and Ernst Witt Poincaré–Hopf theorem Mathematics Henri Poincaré and Heinz Hopf Poincaré recurrence theorem Poincaré conjecture Poincaré lemma  See also:...

{O}}(D)\to \omega _{D}} is called the Poincaré residue. Suppose that X is a complex manifold. Then on sections, the Poincaré residue can be expressed as follows...

the setting of Kähler geometry, due to the corresponding version of the Poincaré lemma, this differential graded algebra has a decomposition into holomorphic...

cohomology may be thought of as a dual of homotopy groups. See: Nonabelian Poincare Duality (Lecture 8) Stacks Group cohomology Toën, B. "Stacks and non-abelian...

editor in chief of Annales Henri Poincaré [1] and is currently co-editor in chief of Annales de l'Institut Henri Poincaré D [2]. He is committed to the development...

hyperbolic geometry: the Poincaré half-plane model where the absolute is the real line on the complex plane, and the Poincaré disk model where the absolute...

dimensions in topology. The solution by Stephen Smale, in 1961, of the Poincaré conjecture in five or more dimensions made dimensions three and four seem...

enlargement of the group for a theory based on a narrower group." The Poincaré group, the transformation group of special relativity, being orthogonal...

named after Witold Hurewicz, and generalizes earlier results of Henri Poincaré. The Hurewicz theorems are a key link between homotopy groups and homology...

hyperbolic plane. The entire hyperbolic plane can also be placed on a Poincaré disk and maintain its angles. However, the lines will turn into circular...

specific point in S+ analogous to the gnomonic projection of the sphere; the Poincaré disk model is a projection of S+ through a point on the other sheet S−...

Klein (1883) and Henri Poincaré (1882) conjectured the uniformization theorem for (the Riemann surfaces of) algebraic curves. Henri Poincaré (1883) extended...

depends on their separation. This study became widely accessible through the Poincaré disc model where motions are given by Möbius transformations. Similarly...

conjecture Navier–Stokes existence and smoothness P versus NP problem Poincaré conjecture (solved) Riemann hypothesis Yang–Mills existence and mass gap...

⋉ F n {\displaystyle \operatorname {SL} (n,F)\ltimes F^{n}} , and the Poincaré group is the affine group associated to the Lorentz group, O ⁡ ( 1 , 3...

research in specific mathematical fields. Grigori Perelman proved the Poincaré conjecture (one of the seven Millennium Prize Problems), and Yuri Matiyasevich...

finite-dimensional for every n ∈ N , {\displaystyle n\in \mathbb {N} ,} its Hilbert–Poincaré series is the formal power series ∑ n ∈ N dim K ⁡ ( V n ) t n . {\displaystyle...

equations and complex analysis: he is known for giving the first proof of the Poincaré–Miranda theorem, for Miranda's theorem in complex analysis, and for writing...

mathematicians Augustin-Louis Cauchy, Gaspard-Gustave de Coriolis, Henri Poincaré, Laurent Schwartz and Benoît Mandelbrot, physicists such as Henri Becquerel...

homology. The concept of dual cell structure, which Henri Poincaré used in his proof of his Poincaré duality theorem, contained the beginning of the idea of...

the scientific steering committee of ETHZ-ITS (2013–2019) Institut Henri Poincaré, member of scientific steering committee (2012–2020) Mathematical Research...

mathematical model or through analytical techniques such as recurrence plots and Poincaré maps. Chaos theory has applications in a variety of disciplines, including...

the associated tilings, as depicted at right: the (2,3,7) tiling on the Poincaré disc is a quotient of the modular tiling on the upper half-plane. For many...

enter Belgium on 6 August to reconnoitre east of the Meuse. Like President Poincare, Messimy would have preferred to send five corps, but this did not meet...

This choice for this length scale makes formulas simpler. In terms of the Poincaré half-plane model absolute length corresponds to the infinitesimal metric...

allowed to run for a long time. The first result in this direction is the Poincaré recurrence theorem, which claims that almost all points in any subset of...

Poincaré disk model (Cell centered) Ideal surface...

H_{\Delta }^{n-k}(M),} which in turn gives canonical identifications via Poincaré duality of H k(M) with its dual space. In coordinates, with notation as...

direction of Albert John Coleman. Some of his best known books are: The Poincaré Conjecture: In Search of the Shape of the Universe. The book has consistently...

Macron Manent Maritain Mendès France Merleau-Ponty de Molinari Montesquieu Poincaré Robespierre Rougier Say Thiers Tocqueville de Tracy Voltaire Parties Active...

Freedman's use of Bing's shrinking criterion to prove the four-dimensional Poincaré conjecture in 1982. Bing established his reputation in June 1945, just...

obtained for the rotating frame also, known as the Poincaré–Bjerknes theorem, named after Henri Poincaré and Vilhelm Bjerknes, who derived the invariant...

{\displaystyle ab} and c d {\displaystyle cd} respectively. Then in the Poincaré half-plane model HP, p {\displaystyle p} and q {\displaystyle q} represent...

In mathematics, the Crofton formula, named after Morgan Crofton (1826–1915), (also Cauchy-Crofton formula) is a classic result of integral geometry relating...

2010, and he was the director of Sorbonne University's Institut Henri Poincaré from 2009 to 2017. As of September 2025, he is a professor at the École...

Verdier duality includes Poincaré duality as a special case. Alexander duality is another useful generalization of Poincaré duality. For any closed subset...

Bertrand Petit Personal details Born (1967-07-23) 23 July 1967 (age 59) Calais, France Party La République En Marche! Alma mater Henri Poincaré University...

space was developed in the late 19th century by Ludwig Boltzmann, Henri Poincaré, and Josiah Willard Gibbs. In a phase space, every degree of freedom or...

student Albert Einstein in 1905, along with the previous work of Lorentz and Poincaré, could best be understood in a four-dimensional space, since known as the...

Klein Lobachevsky Manava Minkowski Minggatu Pascal Pythagoras Parameshvara Poincaré Riemann Sakabe Sijzi al-Tusi Veblen Virasena Yang Hui al-Yasamin Zhang...

Inauguration of the first borne marking the Voie Sacrée by President Raymond Poincaré in 1923....

Zermelo, and Couturat, etc.] was the Pre-Intuitionist School, mainly led by Poincaré, Borel and Lebesgue. These thinkers seem to have maintained a modified...

monographs include an idea of Poincaré, which later became the basis for mathematical "chaos theory" (see, in particular, the Poincaré recurrence theorem) and...

between lines or curves stay the same. This idea extends the familiar Poincaré group —which accounts for rotations, translations, and boosts—into the...

of the Lorentz transformation. Based on Lorentz's aether theory, Henri Poincaré (1900) showed that this local time (to first order in v/c) is indicated...

2019). He is married and has two children. In 2021, he received the Henri Poincaré Prize from the International Association of Mathematical Physics, "for...

War of France In office 16 March – 12 December 1916 President Raymond Poincaré Prime Minister Aristide Briand Preceded by Joseph Gallieni Succeeded by...

Parc de la Feyssine View of the park from the Raymond Poincaré bridge Interactive map of Parc de la Feyssine Type Urban park Location Villeurbanne, France...

beat us as well"). He reported this conversation to President Raymond Poincaré, adding "surely a general should not speak or think like that?" Haig recorded...

prove the Poincaré conjecture as a corollary. In fact, the elliptization conjecture is logically equivalent to two simpler conjectures: the Poincaré conjecture...

possible to break the cycle and enter into a new plane of existence. The Poincaré recurrence theorem states that certain dynamical systems, such as particles...

hyperbolic geometry that emerged were: the Beltrami-Klein model; the Poincaré disk; the Poincaré upper half-plane; the hyperboloid model of Wilhelm Killing in...

described as the most beautiful of all existing physical theories. Henri Poincaré's 1905 theory of the dynamics of the electron was a relativistic theory...

soldier who was an orphan earned praise from the Prime Minister Raymond Poincaré. The breach between de Gaulle and Pétain over the ghost-writing of Le Soldat...

needed] The French mathematician Henri Poincaré was among the first to articulate a conventionalist view. Poincaré's use of non-Euclidean geometries in his...

vertices are ideal, located at "infinity" and seen on the boundary of the Poincaré hyperbolic disk projection. A lower symmetry form has alternating colors...

trajectory is a time-ordered set of states of a dynamical system (see e.g. Poincaré map). In discrete mathematics, a trajectory is a sequence ( f k ( x ) )...

transformations and the indices (p, σ) operated on by Poincaré transformations. This may be called the Lorentz–Poincaré connection. To exhibit the connection, subject...

isomorphism for all k {\displaystyle k} . This result is famously called Poincaré duality. If in the above discussion one replaces X × X {\displaystyle X\times...

represented a complete classification of 3-manifolds and included the famous Poincaré conjecture as a special case. By 2012, 22 of Thurston's 24 questions had...

Law. He was appointed Minister of Public Works in the cabinet of Raymond Poincaré on 11 November 1928. He retained that post in the cabinet of Aristide Briand...

559–574. Poincaré, H. (1908). "La dynamique de l'électron" (PDF). Revue Générale des Sciences Pures et Appliquées. 19: 386–402. Reprinted in Poincaré, Oeuvres...

completed a doctorate in mathematics on discrete groups, analytic groups and Poincaré series, supervised by Dan Segal. Du Sautoy's research "uses classical tools...

Macron Manent Maritain Mendès France Merleau-Ponty de Molinari Montesquieu Poincaré Robespierre Rougier Say Thiers Tocqueville de Tracy Voltaire Parties Active...

difficult. This state of affairs was highly marked in the various cases of the Poincaré conjecture, in which four different proof methods are applied. The dimension...

unanimously voted in favor of union with France. Soon after, President Raymond Poincaré and Council President Georges Clemenceau visited the region from 8 to 10...

révolte vigneronne", vin-terre-net.com (in French) J. F. V. Keiger, Raymond Poincaré (Cambridge University Press, 2002) p. 126; "Political Chaos France's Peril"...

the theory, most notably through the analysis of representations of the Poincaré group by Eugene Wigner. One of the pioneers in constructing a general theory...

research prizes in mathematical physics at its triannual meetings, the Henri Poincaré Prize (created in 1997) and the Early Career Award (created in 2009). The...

Lorentz transformations and Poincaré transformations; conversely, the group contraction in the classical limit c → ∞ of Poincaré transformations yields Galilean...

vertices are ideal, located at "infinity", seen on the boundary of the Poincaré hyperbolic disk projection. There is a half symmetry form, , seen with...

Klein Lobachevsky Manava Minkowski Minggatu Pascal Pythagoras Parameshvara Poincaré Riemann Sakabe Sijzi al-Tusi Veblen Virasena Yang Hui al-Yasamin Zhang...

was a French lawyer and politician, and chief of Prime Minister Raymond Poincaré's office. Jacquinot was born in Gondrecourt-le-Château (Meuse) in 1898....

2025 at the Wayback Machine pp. 874–876, Commissaires: MM. Marcel Deprez, Poincaré, Appell, rapporteur. Torres Quevedo, Leonardo (1901). "Machines à calculer"...

Briand Monis Caillaux Poincaré Briand Barthou Doumergue Ribot Viviani Briand Ribot Painlevé Clemenceau Millerand Leygues Briand Poincaré François-Marsal Herriot...

critic and bibliographer Henri Poincaré (1854–1912), mathematician and physicist Job (1858–1931), illustrator Raymond Poincaré (1860–1934), statesman Pierre...

important open mathematics problem solved in the early 21st century was the Poincaré conjecture. Open problems exist in all scientific fields. For example,...

set of transformations that also includes translations is known as the Poincaré group. In the 1890s, Hendrik Lorentz began to develop theories of electrodynamics...

Selves Poincaré Jonnart Pichon Doumergue Bourgeois Viviani Doumergue Delcassé Viviani Briand Ribot Barthou Pichon Millerand Leygues Briand Poincaré Lefebvre...

Stallings–Zeeman theorem is a result in algebraic topology, used in the proof of the Poincaré conjecture for dimension greater than or equal to five. It is named after...

Lorentz group representations Poincaré group representations Galilean group representations Scientists Sophus Lie Henri Poincaré Wilhelm Killing Élie Cartan...

Poincaré disk model Ideal surface...

Antoon (1921), "Deux Mémoires de Henri Poincaré sur la Physique Mathématique"  [Two Papers of Henri Poincaré on Mathematical Physics], Acta Mathematica...

the National Medal of Science (2002), Pythagoras Award (2005), the Henri Poincaré Prize (2006), the Crafoord Prize (2008), the Lorentz Medal (2010) the Isaac...

region, France. It was created on 1 January 2012, by the merger of Henri Poincaré University, Nancy 2 University, Paul Verlaine University – Metz and the...

Poincaré disk model (vertex centered) Ideal surface...

half-space coordinatization of anti-de Sitter space, and is similar to the Poincaré half-plane model of hyperbolic space but with one of the terms in the metric...

Preceded by Raymond Poincaré President of France 1920 Succeeded by Alexandre Millerand Regnal titles Preceded by Raymond Poincaré Co-Prince of Andorra...

International Mathematical Union (1986–1990). He was awarded the Henri Poincaré Prize in 2006 and the Shaw Prize in mathematical sciences in 2008. Also...

Selves Poincaré Jonnart Pichon Doumergue Bourgeois Viviani Doumergue Delcassé Viviani Briand Ribot Barthou Pichon Millerand Leygues Briand Poincaré Lefebvre...

cabinet of Joseph Caillaux until its fall on 14 January 1912. Raymond Poincaré then urged Delcassé to become prime minister and minister of foreign affairs...

which he predicted would lead to a new world war. An admirer of Raymond Poincaré, Kipling was one of few British intellectuals who supported the French...

the 13th Army Corps In office 13 May – 1 August 1919 President Raymond Poincaré Minister of War Georges Clemenceau Chief of Staff Henri Alby Preceded by...

Cohomology of Stacks (Lecture 7)" (PDF). Tamagawa Numbers via Nonabelian Poincare Duality (282y). Lurie, Jacob (18 September 2017). "Higher Algebra" (PDF)...

perhaps a great majority of them — may be dark bodies." In 1906, Henri Poincaré used the French term [matière obscure] ("dark matter") in discussing Kelvin's...

Stability diagram classifying Poincaré maps of linear autonomous system x ′ = A x , {\displaystyle x'=Ax,} as stable or unstable according to their features...

the Prime Minister of France, Raymond Poincaré, and left for Paris to attempt to smooth things over. Poincaré, however, had already ordered the withdrawal...

recurrence, the repetition of similar events in history Poincaré recurrence theorem, Henri Poincaré's theorem on dynamical systems Radial recurrent artery...

Poincaré disk model Ideal surface...

Selves Poincaré Jonnart Pichon Doumergue Bourgeois Viviani Doumergue Delcassé Viviani Briand Ribot Barthou Pichon Millerand Leygues Briand Poincaré Lefebvre...

Representation theory of diffeomorphism groups Representation theory of the Poincaré group Theorem of the highest weight E. P. Wigner (1959). Group theory and...

in quantum mechanics C-symmetry P-symmetry T-symmetry Lorentz symmetry Poincaré symmetry Gauge symmetry Explicit symmetry breaking Spontaneous symmetry...

to describe a governing alliance of a similar range of parties, led by Poincaré and in power from 1926 to 1932. Made up primarily of conservative right...

French president Poincaré in front of General Albricci during a parade by the Italian II Corp in France...

A horosphere within the Poincaré disk model tangent to the edges of a hexagonal tiling cell of a hexagonal tiling honeycomb...

the hairy ball theorem, the Hopf theorem, the Poincaré–Hopf theorem, Donaldson's theorem, and the Poincaré conjecture. Differential topology considers the...

theories of gravitation Quantum gravity Theory of everything Classical Poincaré gauge theory Einstein–Cartan Teleparallelism Bimetric theories Gauge theory...

(-1)^{M}} .) Periodicity of the Kac ring is a manifestation of more general Poincaré recurrence. Assuming that all balls are initially white, η k ( t ) = ϵ...

The idea of a sphere-world was constructed by French mathematician Henri Poincaré who, while pursuing his argument for conventionalism (see philosophy of...

A practicing physician in the infectiology department of the Raymond Poincaré University Hospital of Garches (directed by Prof. Christian Perronne, AP-HP)...

eleven weeks. It heard speeches from Benito Mussolini of Italy and Raymond Poincaré of France. The proceedings of the conference were notable for the stubborn...

the Meuse In office 1 August 1919 – 22 January 1920 President Raymond Poincaré Preceded by Maurice Piette Succeeded by Pierre Emery Personal details Born...

states of moving particles. It is the generator of the little group of the Poincaré group, that is the maximal subgroup (with four generators) leaving the...

by Richard S. Hamilton and used by Grigori Perelman in the proof of the Poincaré conjecture. More recently, lower bounds for Ricci curvature have been extended...

3}. The "ideal surface" projection below is a plane-at-infinity, in the Poincaré half-space model of H3. It shows an Apollonian gasket pattern of circles...

destroyers and submarines. Germans already had come aboard the submarine Henri Poincaré by the time her crew opened her seacocks to scuttle her, and the French...

of a quantum field A particle is an irreducible representation of the Poincaré group A particle is an observed thing Subatomic particles are either "elementary"...

Pichon French Minister of Foreign affairs France 619 16 April 1913 Raymond Poincaré President of France (List ) 1913–20 France 642 18 March 1921 Alexandre...

uniformization theorem, which was proved in the 19th century by Henri Poincaré and Felix Klein. Here, too, rigorous proofs were first given after the...

Lorentz group representations Poincaré group representations Galilean group representations Scientists Sophus Lie Henri Poincaré Wilhelm Killing Élie Cartan...

or revisited. Alternately, conservative systems are those to which the Poincaré recurrence theorem applies. An important special case of conservative systems...

Selves Poincaré Jonnart Pichon Doumergue Bourgeois Viviani Doumergue Delcassé Viviani Briand Ribot Barthou Pichon Millerand Leygues Briand Poincaré Lefebvre...

Klein Lobachevsky Manava Minkowski Minggatu Pascal Pythagoras Parameshvara Poincaré Riemann Sakabe Sijzi al-Tusi Veblen Virasena Yang Hui al-Yasamin Zhang...

Selves Poincaré Jonnart Pichon Doumergue Bourgeois Viviani Doumergue Delcassé Viviani Briand Ribot Barthou Pichon Millerand Leygues Briand Poincaré Lefebvre...

Poincaré disk model (cell centered) Ideal surface...

oscillatory systems. The study of limit cycles was initiated by Henri Poincaré (1854–1912). We consider a two-dimensional dynamical system of the form...

ISBN 978-0-19-850593-8. Poincaré, Henri (1905). "Sur la dynamique de l'électron" (PDF). Académie des sciences, Note de H. Poincaré. C.R. T. 140: 1504–1508...

body (disambiguation) Poincaré and the Three-Body Problem, a monograph in the history of mathematics on the work of Henri Poincaré on the three-body problem...

categorically "better behaved" than DIFF — for example, the Generalized Poincaré conjecture is true in PL (with the possible exception of dimension 4, where...

Anniversary Professor of History at the University of York 2 November 2006 The Poincaré conjecture June Barrow-Green, Lecturer in the History of Mathematics at...

Briand Monis Caillaux Poincaré Briand Barthou Doumergue Ribot Viviani Briand Ribot Painlevé Clemenceau Millerand Leygues Briand Poincaré François-Marsal Herriot...

which contained the only interview with Grigori Perelman, who solved the Poincaré conjecture and declined the 2006 Fields Medal. The article examined Fields...

Member, Moscow Mathematical Society 1998 Medal of the Institute Henri Poincaré 2003 Senior Scholar Award, University of Illinois at Chicago 2012 Fellow...

Physics of the AMS jointly with Jason Miller. In 2024, he received the Henri Poincaré Prize from the International Association of Mathematical Physics. Scott...

3}. The "ideal surface" projection below is a plane-at-infinity, in the Poincaré half-space model of H3. It shows an Apollonian gasket pattern of circles...

Klein Lobachevsky Manava Minkowski Minggatu Pascal Pythagoras Parameshvara Poincaré Riemann Sakabe Sijzi al-Tusi Veblen Virasena Yang Hui al-Yasamin Zhang...

government, with the support of the President of the Republic, Raymond Poincaré. While the SFIO socialists were opposed to the law, the radical Senator...

ice-crystal halos. Modern theories of light, first described by Henri Poincaré in 1887, are able to explain the phenomenon of glories through the complex...

"last great universal mathematicians of the nineteenth century", Henri Poincaré and David Hilbert. Michael Atiyah commented that whenever he examined a...

Macron Manent Maritain Mendès France Merleau-Ponty de Molinari Montesquieu Poincaré Robespierre Rougier Say Thiers Tocqueville de Tracy Voltaire Parties Active...

Togoland In office August 26, 1914 – September 4, 1916 President Raymond Poincaré Preceded by Position established Succeeded by Position abolished Commissioner...

follows, and provided quotations of G. H. Hardy, Charles Hermite, Henri Poincaré and Albert Einstein that support his views. Something becomes objective...

Lorentz group representations Poincaré group representations Galilean group representations Scientists Sophus Lie Henri Poincaré Wilhelm Killing Élie Cartan...

took a generation for clarity to emerge, after the initial work of Henri Poincaré, on the fundamental definitions; and a further generation to discriminate...

ParisTech's physics and mechanics lab. He served as Deputy Director of the Henri Poincaré Institute from 2010 to 2013 and as Director of the Statistical Physics...

transitions. In 2017 she was named as the director of the Institut Henri Poincaré. Benzoni was a student at the École normale supérieure de Saint-Cloud....

acted on by the super Poincaré algebra. Abstractly, super Minkowski space is the space of (right) cosets within the Super Poincaré group of Lorentz group...

the vacuum is Poincaré invariant, which follows from Wightman axioms but can also be proved directly without these axioms. Poincaré invariance implies...

{1}{2}}b\end{aligned}}} A proof is in "Wilson Stothers' Cabri Pages". Tilings of the Poincaré disk model of the hyperbolic plane exist having Saccheri quadrilaterals...

is a fort in Calais, France, located on the coast on the Avenue Raymond Poincaré at the port entrance. In English medieval accounts, it is Risbanke or Risbank...

Weisstein, Eric W. "Hyperbolic tiling". MathWorld. Weisstein, Eric W. "Poincaré hyperbolic disk". MathWorld. Hyperbolic and Spherical Tiling Gallery Archived...

"last great universal mathematicians of the nineteenth century", Henri Poincaré and David Hilbert. Mathematical constructivism asserts that it is necessary...

formalists (David Hilbert and his colleagues), and the constructivists (Henri Poincaré and Hermann Weyl); within this constructivist school was the radical self-named...

words by French sportswriters. The article implored Prime Minister Raymond Poincaré to outlaw such Franglais as le manager, le round and le knock-out. His...

1088/0143-0807/34/1/129. ISSN 0143-0807. S2CID 119949261. Barrow-Green, June (1997). Poincaré and the Three Body Problem. American Mathematical Society. pp. 8–12. Bibcode:1997ptbp...

Briand Monis Caillaux Poincaré Briand Barthou Doumergue Ribot Viviani Briand Ribot Painlevé Clemenceau Millerand Leygues Briand Poincaré François-Marsal Herriot...

groups in geometry, and also in the Standard Model of particle physics. The Poincaré group is a Lie group consisting of the symmetries of spacetime in special...

models which are described in more detail in their namesake articles: Poincaré half-space model: this is the upper-half space { ( x 1 , … , x n ) ∈ R...

Klein Lobachevsky Manava Minkowski Minggatu Pascal Pythagoras Parameshvara Poincaré Riemann Sakabe Sijzi al-Tusi Veblen Virasena Yang Hui al-Yasamin Zhang...

by video artist Daniel Cockburn based on a thought experiment in Henri Poincaré's essay The Relativity of Space. As a metred beat thumps, and a metred line...

Selves Poincaré Jonnart Pichon Doumergue Bourgeois Viviani Doumergue Delcassé Viviani Briand Ribot Barthou Pichon Millerand Leygues Briand Poincaré Lefebvre...

and A ^ ( Q ) {\displaystyle {\hat {A}}(\mathbb {Q} )} relative to the Poincaré bundle on the product A × A ^ {\displaystyle A\times {\hat {A}}} . The...

Lorentz group representations Poincaré group representations Galilean group representations Scientists Sophus Lie Henri Poincaré Wilhelm Killing Élie Cartan...

Macron Manent Maritain Mendès France Merleau-Ponty de Molinari Montesquieu Poincaré Robespierre Rougier Say Thiers Tocqueville de Tracy Voltaire Parties Active...

Selves Poincaré Jonnart Pichon Doumergue Bourgeois Viviani Doumergue Delcassé Viviani Briand Ribot Barthou Pichon Millerand Leygues Briand Poincaré Lefebvre...

a third article in which he gave a shortcut to the proof of the famous Poincaré conjecture, for which the results in the second half of the second paper...

Unitary U(n) Special unitary SU(n) Symplectic Sp(n) G2 F4 E6 E7 E8 Lorentz Poincaré Conformal Diffeomorphism Loop Infinite dimensional Lie group O(∞) SU(∞)...

Heisenberg uncertainty principle Chatfield 2004, p. 113 Fourier 1822, p. 441 Poincaré 1895, p. 102 Whittaker & Watson 1927, p. 188 Grafakos 2004 Grafakos & Teschl...

mass/energy - e.g. black holes, neutron stars, magnetars and quasars. The Poincaré recurrence theorem considers a theoretical microscopic description of an...

finally, he was appointed prime minister on 13 June 1914, by President Poincaré. He received a vote of confidence of 370 to 137. The chief issues were...

Lorentz group representations Poincaré group representations Galilean group representations Scientists Sophus Lie Henri Poincaré Wilhelm Killing Élie Cartan...

standard transformation groups: the Galilean group, the Lorentz group, the Poincaré group and the conformal group of spacetime. The one-parameter groups are...

lemma Lovász local lemma Nakayama's lemma Noether normalization lemma Poincaré's lemma Riesz's lemma Schur's lemma Schwarz's lemma Sperner's lemma Urysohn's...

Prime Minister Rene Viviani read an address written by President Raymond Poincaré: In the coming war, France ... will be heroically defended by all her sons...

compared to the de Rham complex. This is the situation described in the Poincaré lemma. The idea behind de Rham cohomology is to define equivalence classes...

otherwise zero. Poincaré duality extends to non-compact manifolds using Borel–Moore homology. Namely, for an oriented n-manifold X, Poincaré duality is an...

Poincaré disk model Ideal surface...

Selves Poincaré Jonnart Pichon Doumergue Bourgeois Viviani Doumergue Delcassé Viviani Briand Ribot Barthou Pichon Millerand Leygues Briand Poincaré Lefebvre...

learning: University of Lorraine which merges: Henri Poincaré University (Université Henri Poincaré, UHP, also known as Nancy 1) Nancy 2 University (Université...

Briand Monis Caillaux Poincaré Briand Barthou Doumergue Ribot Viviani Briand Ribot Painlevé Clemenceau Millerand Leygues Briand Poincaré François-Marsal Herriot...

March 18, 1936 Turku Y. Väisälä EOS 19 km (12 mi) MPC · JPL 2021 Poincaré 1936 MA Poincaré June 26, 1936 Algiers L. Boyer  · 5.0 km (3.1 mi) MPC · JPL 2022...

Ergodic theorem Liouville's theorem Krylov–Bogolyubov theorem Poincaré–Bendixson theorem Poincaré recurrence theorem Stable manifold theorem Takens's theorem...

Lorentz group representations Poincaré group representations Galilean group representations Scientists Sophus Lie Henri Poincaré Wilhelm Killing Élie Cartan...

1920 – 21 September 1920 President Paul Deschanel Preceded by Henriette Poincaré Succeeded by Jeanne Millerand Personal details Born Camille Armande Marie...

Klein Lobachevsky Manava Minkowski Minggatu Pascal Pythagoras Parameshvara Poincaré Riemann Sakabe Sijzi al-Tusi Veblen Virasena Yang Hui al-Yasamin Zhang...

to homes, businesses, and synagogues was estimated at over 150 million Poincare francs. Some 3,000 people, one quarter of Constantine's Jewish population...

Poincaré disk model (cell-centered) Rendered intersection of honeycomb with the ideal plane in Poincaré half-space model...

spacetime includes the Lorentz group and the Poincaré group as subgroups. However, only the Lorentz/Poincaré groups represent symmetries of all laws of...

special case when the form is 0, this implies the 4-dimensional topological Poincaré conjecture. If the form is the E8 lattice, this gives a manifold called...

high-dimensional manifolds. For a start, it almost immediately proves the generalized Poincaré conjecture. Before Smale proved this theorem, mathematicians became stuck...

vertices are ideal, located at "infinity", seen on the boundary of the Poincaré hyperbolic disk projection. There is a half symmetry form, , seen with...

Deutschen Physikalischen Gesellschaft, and in 2009 he was awarded the Henri Poincaré Prize. He is a member of the Academia Europaea and the Berlin-Brandenburg...

Briand Monis Caillaux Poincaré Briand Barthou Doumergue Ribot Viviani Briand Ribot Painlevé Clemenceau Millerand Leygues Briand Poincaré François-Marsal Herriot...

satisfy an appropriate version of Poincaré duality which turns it into a Poincaré complex. Supposing that X is a Poincaré complex, the Pontryagin–Thom construction...

second volume, The Modern Theories (1900–1926), Whittaker argued that Henri Poincaré and Hendrik Lorentz developed the theory of special relativity before Albert...

is known that the 3-dimensional version of the conjecture implies the Poincaré conjecture. A topological space is homogeneous if, for any two points m...

Allied Commander-in-Chief, a suggestion so absurd that it caused President Poincaré to laugh. After further lobbying from Robertson and intervention by King...

especially during the Third Republic. In 1926, 106 of them were abolished, the Poincaré–Sarraut reform. While it claimed it was to achieve fiscal savings, some...

fractals. Also in the last part of that century, Felix Klein and Henri Poincaré introduced a category of fractal that has come to be called "self-inverse"...

MacMahon Maréchal Messiha Messmer Necker Pécresse Pétain Peyrefitte Pichegru Poincaré Poisson de Polignac Pompidou Retailleau de La Rocque de La Tour du Pin...

Klein Lobachevsky Manava Minkowski Minggatu Pascal Pythagoras Parameshvara Poincaré Riemann Sakabe Sijzi al-Tusi Veblen Virasena Yang Hui al-Yasamin Zhang...

but any change of velocity ... has an absolute sense." In 1913, Henri Poincaré's posthumous Last Essays were published and there he had restated his position:...

Parlementaires de la Fronde) PA00086309 Hôtel Pauilhac 16 59 avenue Raymond-Poincaré 48°52′03″N 2°17′09″E / 48.867423°N 2.285717°E / 48.867423; 2.285717...

directions, and Figure 2 [Circle Limit IV] is a beautiful tesselation of the Poincaré unit disc model of the hyperbolic plane by white tiles representing angels...

Poincaré II, Poincaré III, François-Marsal, Herriot I, Painlevé II, Painlevé III, Briand VIII, Briand IX, Briand X, Herriot II, Poincaré IV, Poincaré...

Kleinian, a tool for visualizing Kleinian groups, Geometry and the Imagination 4 March 2014. [3] {5,3,∞} Honeycomb in H^3 YouTube rotation of Poincare sphere...

and ergodic theory in particular. Measure-preserving systems obey the Poincaré recurrence theorem, and are a special case of conservative systems. They...

3}. The "ideal surface" projection below is a plane-at-infinity, in the Poincaré half-space model of H3. It shows an Apollonian gasket pattern of circles...

context of electromagnetism, but the term was only formalized in 1904 by Poincaré: “Il semble que cette impossibilité de démontrer le mouvement absolu soit...

Lorentz group representations Poincaré group representations Galilean group representations Scientists Sophus Lie Henri Poincaré Wilhelm Killing Élie Cartan...

transformations. The four dimensional N = 1 {\displaystyle {\mathcal {N}}=1} super-Poincaré algebra in Minkowski spacetime can be generalized to anti-de Sitter spacetime...

Lorentz group representations Poincaré group representations Galilean group representations Scientists Sophus Lie Henri Poincaré Wilhelm Killing Élie Cartan...

theories of gravitation Quantum gravity Theory of everything Classical Poincaré gauge theory Einstein–Cartan Teleparallelism Bimetric theories Gauge theory...

review (p. 381) of Poincaré's efforts on the Euler characteristic notes that it took five iterations for Poincaré to arrive at the Poincaré homology sphere...

Poincaré disk model Ideal surface...

with the box notation being introduced by French mathematician Henri Poincaré in his lectures on electromagnetism. In Minkowski space, in standard coordinates...

has remained largely residential, but is also the location of Raymond Poincaré University Hospital, which specialises in traumatology, road accidents...

Antoon (1921), "Deux Mémoires de Henri Poincaré sur la Physique Mathématique"  [Two Papers of Henri Poincaré on Mathematical Physics], Acta Mathematica...

Netherlands as Zeeleeuw 21 April 1953; sold for scrap, 24 November 1970 Henri Poincaré  French Navy Redoutable cruiser submarine 1,968 23 December 1931 Scuttled...

differential equations Cauchy's limit theorem Cauchy's argument principle Poincaré separation theorem, also known as the Cauchy interlacing theorem This disambiguation...

continuity of complex variable functions written under the direction of Henri Poincaré. After returning to Romania, Pompeiu was named Professor of Mechanics at...

(1933) Mon temps (1935-1947) Pour l'Empire colonial français (1935) Raymond Poincaré (1935) Four volumes of his memoir, Mon Temps were published between 1933...

Bruns that there are no more algebraic conserved quantities, and by Henri Poincaré in 1889 that there are no more analytic conserved quantities. Therefore...

N°1, Raymond Poincaré President of France...

Algorithms in 2011, Math Girls: Galois Theory in 2012, and Math Girls: The Poincaré conjecture in 2018. As of December 2010, the series had sold over 100,000...

France declared Germany in default. The French minister president Raymond Poincaré saw Germany's failure to pay reparations as a lever that he could use to...

doors and reinvigorates research in these fields. Loève Prize (2003) Henri Poincaré Prize (2003), For his contributions to discrete conformal geometry, where...

Institut Henri Poincaré under the name Cahiers de Topologie; after the first volume, Ehresmann changed the publisher to the Institut Henri Poincaré and later...

of Transportation under Raymond Poincaré. In 1928, he moved to Minister of the Interior, continuing under Poincaré's successor Aristide Briand. In November...

projectors Universal Hall Pass, a pop rock band Université Henri Poincaré or Henri Poincaré University, a French research university Utah Highway Patrol,...

bradyon, luxon, tachyon classification from the representation theory of the Poincaré group to an analogous classification, here, one may term these states as...

(96-gon), but responds to the same question raised by Descartes. Henri Poincaré uses the chiliagon as evidence that "intuition is not necessarily founded...

points of isometry groups in Euclidean space Euclidean plane isometry Poincaré group Coordinate rotations and reflections Reflection through the origin...

case k = 0 is equivalent to Newtonian physics. Hendrik Lorentz and Henri Poincaré developed their version of special relativity in a series of papers from...

frameworks, similar formulas were derived by J. J. Thomson (1881), Henri Poincaré (1900), Friedrich Hasenöhrl (1904), and others (see Mass–energy equivalence#History...

Klein Lobachevsky Manava Minkowski Minggatu Pascal Pythagoras Parameshvara Poincaré Riemann Sakabe Sijzi al-Tusi Veblen Virasena Yang Hui al-Yasamin Zhang...

following conditions The symmetry group is a Lie group which includes the Poincaré group as a subgroup, Below any mass, there are only a finite number of...

continues to this day. A celebrated achievement was the solution to the Poincaré conjecture by Grigori Perelman, completing a program initiated and largely...

Briand Monis Caillaux Poincaré Briand Barthou Doumergue Ribot Viviani Briand Ribot Painlevé Clemenceau Millerand Leygues Briand Poincaré François-Marsal Herriot...

Klein Lobachevsky Manava Minkowski Minggatu Pascal Pythagoras Parameshvara Poincaré Riemann Sakabe Sijzi al-Tusi Veblen Virasena Yang Hui al-Yasamin Zhang...

Sitter-Schwarzschild McVittie Weyl Scientists Einstein Lorentz Hilbert Poincaré Schwarzschild de Sitter Reissner Nordström Weyl Eddington Friedmann Milne...

VII Poincaré II Poincaré III François-Marsal Gaston Doumergue Herriot I Painlevé II Painlevé III Briand VIII Briand IX Briand X Herriot II Poincaré IV...

Paris, Institut Henri-Poincaré, 1957. Statistique et psychologie, 4 fascicules de 48, 52, 25 et 38 pages, Paris, Institut Henri-Poincaré, 1957. Sur certains...

2004 he received the Matteucci Medal. In 2006 he was awarded the Henri Poincaré Prize and in 2014 he was honored with the prestigious Max Planck Medal...

constants. Wirtinger's inequality also generalizes to higher-dimensional Poincaré inequalities that provide best constants for the Dirichlet energy of an...

Lorentz group representations Poincaré group representations Galilean group representations Scientists Sophus Lie Henri Poincaré Wilhelm Killing Élie Cartan...

S2CID 10024592. "Éloge de Poincaré". le site de l'Institut Henri-Poincaré. Archived from the original on 2014-01-12. "Henri Poincaré, ce mathématicien multicarte...

theories of gravitation Quantum gravity Theory of everything Classical Poincaré gauge theory Einstein–Cartan Teleparallelism Bimetric theories Gauge theory...

corresponds to a full Poincaré beam (a spin vortex comprising all the states of polarization mapped by a stereographic projection of the Poincaré sphere to the...

(x)|n\rangle \langle n|\Phi ^{\dagger }(y)|0\rangle .} We can now use Poincaré invariance of the vacuum to write down ⟨ 0 | Φ ( x ) Φ † ( y ) | 0 ⟩ =...

bodies: while there is no closed-form solution to the general problem, Henri Poincaré showed for the first time that it exhibits deterministic chaos. Formally...

of time, a spontaneous entropy decrease could eventually occur via the Poincaré recurrence theorem,[additional citation(s) needed] thermal fluctuations...

posed by Riemann in the 1850s and first resolved rigorously by Koebe and Poincaré in 1907. It furnished a scheme for uniformizing the union of two regions...

Sp(2, 2) to the Poincaré group ISO(3, 1), as the de Sitter radius diverges: R → ∞; or the super-anti-de Sitter algebra to the super-Poincaré algebra as the...

(aged 62) Gaspra, Crimea, Soviet Union Alma mater Kharkov University Known for Poincaré–Steklov operator Scientific career Fields Applied mathematics Institutions...

following divisions: Sorbonne University Polytechnic School the Henri Poincaré Institute the Paris Institute of Astrophysics the Paris Institute of Statistics...

the construction of the enveloping algebra. Indeed, it follows from the Poincaré–Birkhoff–Witt theorem (discussed § below) that the elements 1 , e , e 2...

of the Poincaré conjecture as the scientific "Breakthrough of the Year", the first such recognition in the area of mathematics. The Poincaré conjecture...

Selves Poincaré Jonnart Pichon Doumergue Bourgeois Viviani Doumergue Delcassé Viviani Briand Ribot Barthou Pichon Millerand Leygues Briand Poincaré Lefebvre...

(tie) Émile Loubet 2556 8 18 February 1899 – 18 February 1906 Raymond Poincaré 2556 10 18 February 1913 – 18 February 1920 Gaston Doumergue 2556 13 13...

three-dimensional cartesian coordinates. This is the spherical analog of the Poincaré disk model of the hyperbolic plane. Intuitively, the stereographic projection...

1090/mbk/059. ISBN 978-0-8218-4695-7. MR 2459552. Zbl 1245.00024. — (2009). Poincaré's legacies, pages from year two of a mathematical blog. Part I. Providence...

icosidodecahedron Truncated trihexagonal tiling Truncated triheptagonal tiling (Poincaré disk model) Truncated triapeirogonal tiling Vertex figure 3-dimensional...

An Bn Cn Dn Exceptional G2 F4 E6 E7 E8 Other Lie groups Circle Lorentz Poincaré Conformal group Diffeomorphism Loop Euclidean Lie algebras Lie group–Lie...

dissipative system. This is the opposite of a conservative system, to which the Poincaré recurrence theorem applies. Intuitively, the connection between wandering...

Selves Poincaré Jonnart Pichon Doumergue Bourgeois Viviani Doumergue Delcassé Viviani Briand Ribot Barthou Pichon Millerand Leygues Briand Poincaré Lefebvre...

Selves Poincaré Jonnart Pichon Doumergue Bourgeois Viviani Doumergue Delcassé Viviani Briand Ribot Barthou Pichon Millerand Leygues Briand Poincaré Lefebvre...

Selves Poincaré Jonnart Pichon Doumergue Bourgeois Viviani Doumergue Delcassé Viviani Briand Ribot Barthou Pichon Millerand Leygues Briand Poincaré Lefebvre...

theory using the Wilson action. Most quantization approaches maintain Poincaré invariance manifest but sacrifice manifest gauge symmetry by requiring...

can be continuously shrunk to a point without leaving the 3-sphere. The Poincaré conjecture, proved in 2003 by Grigori Perelman, provides that the 3-sphere...

Klein Lobachevsky Manava Minkowski Minggatu Pascal Pythagoras Parameshvara Poincaré Riemann Sakabe Sijzi al-Tusi Veblen Virasena Yang Hui al-Yasamin Zhang...

Brasileiro de Matemática, IMPA, (1981). He also translated essays of Henri Poincaré into Portuguese, which were published in a book under the title Um Poeta...

terms of payment were made easier. The French prime minister, Raymond Poincaré, hoped to be able to fight the Young Plan at the planned conference at...

Arrival". The Times. No. 40247. London. 25 June 1913. col. E, p. 7. "M. Poincaré in London". The Times. No. 40247. London. 25 June 1913. col. A, p. 8. "The...

Following Schur, it was noted in print by Campbell (1897); elaborated by Henri Poincaré (1899) and Baker (1902); and systematized geometrically, and linked to...

physical laws are Lorentz-invariant. The Lorentz group is a subgroup of the Poincaré group—the group of all isometries of Minkowski spacetime. Lorentz transformations...

Hilbert Gödel Jordan Dirac Wigner Hawking P. W. Anderson Lemaître Thomson Poincaré Wheeler Penrose Millikan Nambu von Neumann Higgs Hahn Feynman Yang Lee...

Their work was corrected, consolidated and greatly extended by Henri Poincaré. In 1895, he published his ground-breaking paper on Analysis Situs, which...

which was that if the system's H is at any time not a minimum, then by Poincaré recurrence, the non-minimal H must recur (though after some extremely long...

Briand Monis Caillaux Poincaré Briand Barthou Doumergue Ribot Viviani Briand Ribot Painlevé Clemenceau Millerand Leygues Briand Poincaré François-Marsal Herriot...

People Einstein Sommerfeld Michelson Morley FitzGerald Herglotz Lorentz Poincaré Minkowski Fizeau Abraham Born Planck von Laue Ehrenfest Tolman Dirac Physics...

enrolled at the Sorbonne in the Faculty of Sciences at the Institut Henri Poincaré, and became engrossed in his studies. In France he was able to use his...

in quantum mechanics C-symmetry P-symmetry T-symmetry Lorentz symmetry Poincaré symmetry Gauge symmetry Explicit symmetry breaking Spontaneous symmetry...

real-valued functions on metric measure spaces which are doubling and satisfy a Poincaré inequality, generalizing the usual notion on Euclidean space and Riemannian...

established a theory of automorphic functions, associating algebra and geometry. Poincaré had published an outline of his theory of automorphic functions in 1881...

Lie groups, and relativistic transformations in the Lorentz group and Poincaré group. The notational conventions used in this article are as follows....

Tao, Terence (2009). "1.7 The Lucas–Lehmer test for Mersenne primes". Poincaré's legacies, pages from year two of a mathematical blog. Part I. Providence...

Selves Poincaré Jonnart Pichon Doumergue Bourgeois Viviani Doumergue Delcassé Viviani Briand Ribot Barthou Pichon Millerand Leygues Briand Poincaré Lefebvre...

University Brown University Université Libre de Bruxelles Institut Henri Poincaré University of Paris Yale University Icahn School of Medicine at Mount Sinai...

Klein Lobachevsky Manava Minkowski Minggatu Pascal Pythagoras Parameshvara Poincaré Riemann Sakabe Sijzi al-Tusi Veblen Virasena Yang Hui al-Yasamin Zhang...

VII Poincaré II Poincaré III François-Marsal Gaston Doumergue Herriot I Painlevé II Painlevé III Briand VIII Briand IX Briand X Herriot II Poincaré IV...

(angle from the equator) of the polarization state as represented on the Poincaré sphere (see below) is equal to ±2χ. The special cases of linear and circular...

mathematics known as predicativism, advocated by Henri Poincaré and by Hermann Weyl in his Das Kontinuum. Poincaré and Weyl argued that impredicative definitions...

first proved by Friedrich Schur (1891). It was later elaborated by Henri Poincaré (1899) in the context of the problem of expressing Lie group multiplication...

Press. p. 441. ISBN 0-12-088735-5. Stahl, Saul (1993). "Theorem 8.3". The Poincaré Half-Plane: A Gateway to Modern Geometry. Jones & Bartlett Learning. p...

interactions occur between two systems. Henri Poincaré developed Maxwell's ideas on singularities in dynamic systems. Poincaré distinguished four different simple...

Briand Monis Caillaux Poincaré Briand Barthou Doumergue Ribot Viviani Briand Ribot Painlevé Clemenceau Millerand Leygues Briand Poincaré François-Marsal Herriot...

cycle. A Hopf bifurcation is also known as a Poincaré–Andronov–Hopf bifurcation, named after Henri Poincaré, Aleksandr Andronov and Eberhard Hopf. Hopf...

require that the laws of physics are not fundamentally invariant under the Poincaré group of special relativity, but under the symmetry group of de Sitter...

very phenomenological theories.  However, the French mathematician Henri Poincaré first gave a systematic and rigorous definition of what quantization is...

light is derived from optics. Historically, Hendrik Lorentz and Henri Poincaré (1892–1905) derived the Lorentz transformation from Maxwell's equations...

Sitter-Schwarzschild McVittie Weyl Scientists Einstein Lorentz Hilbert Poincaré Schwarzschild de Sitter Reissner Nordström Weyl Eddington Friedmann Milne...

27 June 1911 – 12 January 1913 Prime Minister Joseph Caillaux Raymond Poincaré Preceded by Adolphe Messimy Succeeded by René Besnard Minister of War In...