Picard's great theorem and Picard's little theorem are related theorems about the range of an analytic function. They are named after Émile Picard. Little...

the Picard–Lindelöf theorem gives a set of conditions under which an initial value problem has a unique solution. It is also known as Picard's existence...

Picard's little theorem states that every nonconstant entire function takes every value in the complex plane, with perhaps one exception. Picard's great...

Point fixe, et théorèmes du point fixe on Bibmath.net. Archived December 26, 2008, at the Wayback Machine C. Minazzo K. Rider Théorèmes du Point Fixe et...

2005, Definition 9.2.2. Grothendieck, A. (1962), V. Les schémas de Picard. Théorèmes d'existence, Séminaire Bourbaki, t. 14: année 1961/62, exposés 223-240...

can be understood as an abstract formulation of Picard's method of successive approximations. The theorem is named after Stefan Banach (1892–1945) who first...

Gummbinnen: Programm. Terquem O (1846). "Théorèmes sur les puissances des nombres". Nouvelles Annales de Mathématiques. 5: 70–87. Bertrand J (1851)...

Grothendieck, Alexander (1961), Techniques de construction et théorèmes d'existence en géométrie algébrique. IV. Les schémas de Hilbert, Séminaire Bourbaki 221...

school. Théorèmes de Lefschetz en cohomologie cohérente et en cohomologie étale, Bull. Soc. Math. France, Memoirs Nr. 41, 1975 Théorèmes de Lefschetz...

In differential algebra, Picard–Vessiot theory is the study of the differential field extension generated by the solutions of a linear differential equation...

géométrie algébrique. V : Les schémas de Picard : Théorèmes d'existence (Picard schemes) Bernard Morin, Champs de vecteurs sur les sphères, d'après J....

Serre's GAGA theorem. The Picard group of a K3 surface X is always a finitely generated free abelian group; its rank is called the Picard number ρ {\displaystyle...

no. 212]; IV. Les schémas de Hilbert [Séminaire Bourbaki, t. 13, 1960/61, no. 221]; V. Les schémas de Picard. Théorèmes d'existence [Séminaire Bourbaki...

The Peano theorem can be compared with another existence result in the same context, the Picard–Lindelöf theorem. The Picard–Lindelöf theorem both assumes...

Néron–Severi theorem, which was proved by Severi over the complex numbers and by Néron over more general fields. In other words, the Picard group fits into...

(complex analysis) Picard–Lindelöf theorem (ordinary differential equations) Pick's theorem (geometry) Pickands–Balkema–de Haan theorem (extreme value theory)...

Samuel, Théorie du corps de classes local selon G. P. Hochschild (local class field theory) Laurent Schwartz, Les théorèmes de Whitney sur les fonctions...

_{0}V)^{\vee }.} For algebraic curves, the Abel–Jacobi theorem implies that the Albanese and Picard varieties are isomorphic. Intermediate Jacobian Albanese...

Rouché's theorem, named after Eugène Rouché, states that for any two complex-valued functions f and g holomorphic inside some region K {\displaystyle...

a teacher, Amédée Hadamard, of Jewish descent, and Claire Marie Jeanne Picard, Hadamard was born in Versailles, France and attended the Lycée Charlemagne...

1.158.3198. doi:10.1093/imrn/rnp082. Chambert-Loir, Antoine (2002). "Théorèmes d'algébrisation en géométrie diophantienne". arXiv:math/0103192. Katz...

Picard group Birkhoff-Grothendieck theorem EGA 0I, 5.4. Stacks Project, tag 01CR, [1]. Grothendieck, Alexandre; Dieudonné, Jean (1960). "Éléments de géométrie...

to itself. The lemma is less celebrated than deeper theorems, such as the Riemann mapping theorem, which it helps to prove. It is, however, one of the...

Bourget, Paris, 1905, 2 vols.; PDF copy from UMDL. "Œuvres de Charles Hermite", edited by Picard for the Academy of Sciences, 4 vols., Paris: Gauthier–Villars...

cohérents et théorèmes de Lefschetz locaux et globaux (SGA 2), Documents Mathématiques (Paris), vol. 4, Paris: Société Mathématique de France, arXiv:math/0511279...

study of the history of Finnish mathematics. He is known for the Picard–Lindelöf theorem on differential equations and the Phragmén–Lindelöf principle,...

inequality on a sphere Lévy's characterisation of Brownian motion Médaille Emile Picard O'Connor, John J.; Robertson, Edmund F., "Paul Lévy (mathematician)", MacTutor...

Nagoya University. 1955. "Théorie des groupes de Lie, tome III, Théorèmes généraux sur les algèbres de Lie", Hermann, Paris. 1955, "Sur certains groupes...

In complex analysis, the Riemann mapping theorem states that if U {\displaystyle U} is a non-empty simply connected open subset of the complex number...

it, Georges de Rham, then a student, was inspired. In his 1931 thesis, he proved a result now called de Rham's theorem. By Stokes' theorem, integration...