algebraic independence
1Algebraic independence — In abstract algebra, a subset S of a field L is algebraically independent over a subfield K if the elements of S do not satisfy any non trivial polynomial equation with coefficients in K . This means that for every finite sequence α1, ..., α n of …
2Adelic algebraic group — In mathematics, an adelic algebraic group is a topological group defined by an algebraic group G over a number field K , and the adele ring A = A ( K ) of K . It consists of the points of G having values in A ; the definition of the appropriate… …
3Matroid — In combinatorics, a branch of mathematics, a matroid (  /ˈmeɪ …
4Transcendence theory — In mathematics, transcendence theory is a branch of number theory that investigates transcendental numbers, in both qualitative and quantitative ways.TranscendenceThe fundamental theorem of algebra tells us that if we have a non zero polynomial… …
5E-function — In mathematics, E functions are a type of power series that satisfy particular systems of linear differential equations.DefinitionA function f ( x ) is called of type E , or an E function [Carl Ludwig Siegel, Transcendental Numbers , p.33,… …
6List of mathematics articles (A) — NOTOC A A Beautiful Mind A Beautiful Mind (book) A Beautiful Mind (film) A Brief History of Time (film) A Course of Pure Mathematics A curious identity involving binomial coefficients A derivation of the discrete Fourier transform A equivalence A …
7Pi — This article is about the number. For the Greek letter, see Pi (letter). For other uses, see Pi (disambiguation). The circumference of a ci …
8Schanuel's conjecture — In mathematics, specifically transcendence theory, Schanuel s conjecture is the following statement::Given any n complex numbers z 1,..., z n which are linearly independent over the rational numbers Q, the extension field Q( z 1,..., z n ,exp( z… …
9Yuri Valentinovich Nesterenko — ( ru. Юрий Валентинович Нестеренко; born December 5, 1946) is a mathematician who has written papers in algebraic independence theory and transcendental number theory.Publications*cite journal|author=Nesterenko, Y.|title=Modular Functions and… …
10Forking extension — In model theory, a forking extension of a type is an extension that is in some sense not free, and a non forking extension is an extension that is as free as possible. This can be used to extend the notions of linear or algebraic independence to… …
