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
Frobenius theorem (real division algebras) — In mathematics, more specifically in abstract algebra, the Frobenius theorem, proved by Ferdinand Georg Frobenius in 1877, characterizes the finite dimensional associative division algebras over the real numbers. The theorem proves that the only… … Wikipedia
Perron–Frobenius theorem — In linear algebra, the Perron–Frobenius theorem, proved by Oskar Perron (1907) and Georg Frobenius (1912), asserts that a real square matrix with positive entries has a unique largest real eigenvalue and that the corresponding… … Wikipedia
Frobenius group — In mathematics, a Frobenius group is a transitive permutation group on a finite set, such that no non trivial elementfixes more than one point and some non trivial element fixes a point. They are named after F. G. Frobenius. Structure The… … Wikipedia
Frobenius normal form — In linear algebra, the Frobenius normal form, Turner binormal projective form or rational canonical form of a square matrix A is a canonical form for matrices that reflects the structure of the minimal polynomial of A and provides a means of… … Wikipedia
Frobenius endomorphism — In commutative algebra and field theory, which are branches of mathematics, the Frobenius endomorphism (after Ferdinand Georg Frobenius) is a special endomorphism of rings with prime characteristic p , a class importantly including fields. The… … Wikipedia
Ferdinand Georg Frobenius — Infobox Scientist name = PAGENAME box width = image size =150px caption = PAGENAME birth date = October 26, 1849 birth place = Charlottenburg death date = August 3, 1917 death place = Berlin residence = citizenship = nationality = German… … Wikipedia
Okishio's theorem — is a mathematical theorem formulated by Japanese economist Nobuo Okishio. It has had a major impact on debates about Marx s theory of value. Intuitively, it can be understood as saying that if one capitalist raises his profits by introducing a… … Wikipedia
Artin–Wedderburn theorem — In abstract algebra, the Artin–Wedderburn theorem is a classification theorem for semisimple rings. The theorem states that a semisimple ring R is isomorphic to a product of ni by ni matrix rings over division rings Di , for some integers ni ,… … 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
