Search results
Results From The WOW.Com Content Network
Cousin problems. In mathematics, the Cousin problems are two questions in several complex variables, concerning the existence of meromorphic functions that are specified in terms of local data. They were introduced in special cases by Pierre Cousin in 1895. They are now posed, and solved, for any complex manifold M, in terms of conditions on M .
Inter-universal Teichmüller theory (abbreviated as IUT or IUTT) is the name given by mathematician Shinichi Mochizuki to a theory he developed in the 2000s, following his earlier work in arithmetic geometry. According to Mochizuki, it is "an arithmetic version of Teichmüller theory for number fields equipped with an elliptic curve ".
In mathematics, the Grothendieck–Teichmüller group GT is a group closely related to (and possibly equal to) the absolute Galois group of the rational numbers.It was introduced by Vladimir Drinfeld () and named after Alexander Grothendieck and Oswald Teichmüller, based on Grothendieck's suggestion in his 1984 essay Esquisse d'un Programme to study the absolute Galois group of the rationals ...
Sion's minimax theorem. In mathematics, and in particular game theory, Sion's minimax theorem is a generalization of John von Neumann 's minimax theorem, named after Maurice Sion . It states: Let be a compact convex subset of a linear topological space and a convex subset of a linear topological space. If is a real-valued function on with.
Biography[edit] Oka was born in Osaka. He went to Kyoto Imperial University in 1919, turning to mathematics in 1923 and graduating in 1924. He was in Paris for three years from 1929, returning to Hiroshima University. He published solutions to the first and second Cousin problems, and work on domains of holomorphy, in the period 1936–1940.
Kodai Senga is still feeling tightness in his right triceps and it's unclear when he might return to the mound for the New York Mets. Sidelined all season by a capsule strain in his pitching ...
The Oka–Weil theorem states that if X is a Stein space and K is a compact -convex subset of X, then every holomorphic function in an open neighborhood of K can be approximated uniformly on K by holomorphic functions on (i.e. by polynomials). [1]
The classical eikonal equation in geometric optics is a differential equation of the form. (1) where lies in an open subset of , is a positive function, denotes the gradient, and is the Euclidean norm. The function is given and one seeks solutions . In the context of geometric optics, the function is the refractive index of the medium.