Doob's martingale convergence theorems | Mertens' theorems | Gödel's incompleteness theorems | Abelian and tauberian theorems |
Both appeared, alongside several other important theorems, in a well-known paper by József Beck.
Bôcher's theorem can refer to one of two theorems proved by the American mathematician Maxime Bôcher
Several theorems are named after Augustin-Louis Cauchy.
In formal language theory, the Chomsky–Schützenberger theorem is either of two different theorems derived by Noam Chomsky and Marcel-Paul Schützenberger.
Dirichlet's theorem may refer to any of several mathematical theorems due to Peter Gustav Lejeune Dirichlet.
Mathematical folklore, theorems that are widely known to mathematicians but cannot be traced back to an individual
Vidav got his Ph.D. under Plemelj's advisory in 1941 at the University of Ljubljana with a dissertation Kleinovi teoremi v teoriji linearnih diferencialnih enačb (Klein's theorems in the theory of linear differential equations).
Eminent analysts succeeded in proving some of the theorems, but it was reserved to Luigi Cremona to prove them all, and that by a uniform synthetic method, in his book on algebraic curves.
In 2005, an international conference on fixed point theorems was held in Dugundji's memory in Będlewo, Poland.
In the context of limit theorems for superpositions of point processes he came to the problem of infinite divisibility of point processes (following a suggestion by Boris Vladimirovich Gnedenko).
Several notable theorems and objects in mathematics bear his name (for example Schutzenberger group).
Two theorems in the mathematical field of Riemannian geometry bear the name Myers–Steenrod theorem, both from a 1939 paper by Myers and Steenrod.
In 1978 Gabber received a Ph.D. (Some theorems on Azumaya algebras) under the supervision of Barry Mazur from Harvard University.
In the first section he presents all the demonstrations for these theorems, especially those adduced by Tabrizi; in the second, he shows the inadequacy of many of these ontological and physical propositions, and thus demolishes Maimonides' proofs for his God-concept.
In 1958 he was an invited speaker at the International Congress of Mathematicians in Edinburgh (on the topic of Some fundamental theorems on abelian function fields).
A standard theoretical statement of positive economics as operationally meaningful theorems is in Paul Samuelson's Foundations of Economic Analysis (1947).
In algebraic number theory, a reflection theorem or Spiegelungssatz (German for reflection theorem – see Spiegel and Satz) is one of a collection of theorems linking the sizes of different ideal class groups (or ray class groups), or the sizes of different isotypic components of a class group.
Hyperplane separation theorem (geometry) is either of two theorems about disjoint convex sets in n-dimensional Euclidean space.
His remarkable contributions include comparison theorems of Laplacian eigenvalues on Riemannian manifolds, the maximal diameter theorem in Riemannian geometry.
The third describes 38 important mathematical problems and theorems such as the four color theorem, the Birch and Swinnerton-Dyer conjecture, and the Halting problem.
He is only known from Proclus’ commentary to Euclid, where Theudius is said to have had “a reputation for excellence in mathematics as in the rest of philosophy, for he produced admirable "Elements" and made many partial theorems more general”.
It occurs in the proofs of several theorems of crucial importance, for instance the Hahn–Banach theorem in functional analysis, the theorem that every vector space has a basis, Tychonoff's theorem in topology stating that every product of compact spaces is compact, and the theorems in abstract algebra that every nonzero ring has a maximal ideal and that every field has an algebraic closure.