Picard theorem

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• Picard theorem — For the theorem on existence and uniqueness of solutions of differential equations, see Picard s existence theorem. In complex analysis, the term Picard theorem (named after Charles Émile Picard) refers to either of two distinct yet related… …   Wikipedia

• Picard–Lindelöf theorem — In mathematics, in the study of differential equations, the Picard–Lindelöf theorem, Picard s existence theorem or Cauchy–Lipschitz theorem is an important theorem on existence and uniqueness of solutions to certain initial value problems.The… …   Wikipedia

• Picard group — In mathematics, the Picard group of a ringed space X, denoted by , is the group of isomorphism classes of invertible sheaves (or line bundles) on X, with the group operation being tensor product. This construction is a global version of the… …   Wikipedia

• Theorem of the cube — In mathematics, the theorem of the cube is a foundational result in the algebraic geometry of a complete variety. It was a principle discovered, in the context of linear equivalence, by the Italian school of algebraic geometry. The specific… …   Wikipedia

• Picard, Émile — (1856 1941)    mathematician Among the numerous studies that Émile Picard, who was born and educated in Paris, began were those involving uniform and multiform analytical functions and the functions of several complex variables. His theorem… …   France. A reference guide from Renaissance to the Present

• Charles Émile Picard — Born 24 July 1856(1856 07 24) Paris …   Wikipedia

• Peano existence theorem — In mathematics, specifically in the study of ordinary differential equations, the Peano existence theorem, Peano theorem or Cauchy Peano theorem, named after Giuseppe Peano and Augustin Louis Cauchy, is a fundamental theorem which guarantees the… …   Wikipedia

• Fermat's Last Theorem in fiction — The famous problem in number theory known as Fermat s Last Theorem has repeatedly received attention in fiction and popular culture.* In The Royale , an episode of , Captain Picard states that the theorem had gone unsolved for 800 years. At the… …   Wikipedia

• Frobenius theorem (differential topology) — In mathematics, Frobenius theorem gives necessary and sufficient conditions for finding a maximal set of independent solutions of an overdetermined system of first order homogeneous linear partial differential equations. In modern geometric terms …   Wikipedia

• Liouville's theorem (complex analysis) — In complex analysis, Liouville s theorem, named after Joseph Liouville, states that every bounded entire function must be constant. That is, every holomorphic function f for which there exists a positive number M such that | f ( z )| ≤ M for all… …   Wikipedia

• Montel's theorem — In complex analysis, an area of mathematics, Montel s theorem refers to one of two theorems about families of holomorphic functions. These are named after Paul Montel, and give conditions under which a family of holomorphic functions is normal.… …   Wikipedia