Contents ; 1 Example ; 2 Algebraic independence of known constants ; 3 Results and open problems ; 4 Algebraic matroids ; 5 See also ... Algebraic independence of... · Algebraic matroids

21 июл. 2019 г. · The numbers x, y are algebraic independent if there is no 2-variable polynome with rational coefficients for which P(x,y) would be zero. Algebraic independence of functions - Mathematics Stack Exchange Preservation of algebraic independence Другие результаты с сайта math.stackexchange.com

17 дек. 2019 г. · An infinite set of elements is called algebraically independent if each one of its finite subsets is algebraically independent; otherwise it is ...

Elements y_1, ..., y_n are algebraically independent over K if the natural surjection K[Y_1,...,Y_n]->K[y_1,...,y_n] is an isomorphism.

Given a set of polynomials f1,f2,...,fm in variables x1,...,xn, we are interested in the problem of testing whether they satisfy an algebraic relationship.

Algebraic independence is a fundamental notion in commutative algebra that generalizes independence of linear polynomials. Polynomials { f 1 , … , f m } ⊂ K ...

Definition: {f1. ,...,fm. } are called algebraically independent if there is no non-zero polynomial A ∈ F[y1. ,...,ym. ] such that. A(f1. ,...,fm. )=0.

Abstract: It is proved that among the numbers αβ,αβ2,…,αβd−1, where α is algebraic, α≠0,1 and β is algebraic of degree d⩾2, there are no fewer than ...

The book presents these and other results on algebraic independence of numbers and further, a detailed exposition of methods created in last the 25 years, ...