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Function theory may refer to: Theory of functions of a real variable, the traditional name of real analysis , a branch of mathematical analysis dealing with the real numbers and real-valued functions of a real variable
You are free: to share – to copy, distribute and transmit the work; to remix – to adapt the work; Under the following conditions: attribution – You must give appropriate credit, provide a link to the license, and indicate if changes were made.
In number theory, Tate's thesis is the 1950 PhD thesis of John Tate () completed under the supervision of Emil Artin at Princeton University.In it, Tate used a translation invariant integration on the locally compact group of ideles to lift the zeta function twisted by a Hecke character, i.e. a Hecke L-function, of a number field to a zeta integral and study its properties.
An function, that takes as input the value-vector and returns an outcome (it is also called a social choice function); A P a y m e n t {\displaystyle Payment} function, that takes as input the value-vector v {\displaystyle v} and returns a vector of payments, ( p 1 , … , p n ) {\displaystyle (p_{1},\dots ,p_{n})} , determining how much each ...
Isidor Pavlovich Natanson (Russian: Исидор Павлович Натансон; February 8, 1906 in Zurich – July 3, 1964 in Leningrad) was a Swiss-born Soviet mathematician known for contributions to real analysis and constructive function theory, in particular, for his textbooks on these subjects. [1]
A social-choice-function is a function that maps a set of individual preferences to an optimal social outcome. An example function is the utilitarian rule, which says "give the item to a person that values it the most". We denote a social choice function by Soc and its recommended outcome given a set of preferences by Soc(Prefs).