It entails proving whether a solution exists for all 7th-degree equations using algebraic (variant: continuous) functions of two arguments.

14 янв. 2021 г. · The problem was the 13th of 23 then-unsolved math problems that the German mathematician David Hilbert, at the turn of the 20th century, ...

Amongst the 23 problems which Hilbert formulated at the turn of the last century [Hi1], the 13th problem asks if every function of n variables is composed of ...

Hilbert's thirteenth problem involves the study of solutions of algebraic equations. The object is to obtain a complexity estimate for an algebraic function.

14 июл. 2024 г. · Hilbert's 13th problem has a negative answer regarding the solvability of a 7th-degree equation, even in the Kolmogorov-Arnold form.

31 янв. 2024 г. · The algebraic form of Hilbert's 13th problem asks for the resolvent degree RD(n) of the general polynomial f(x)=xn+a1​xn−1+⋯+an​ of degree n, ...

Abstract. Hilbert's thirteenth problem involves the study of solutions of algebraic equations. The object is to obtain a complexity estimate for an ...

27 апр. 2022 г. · Abstract:The algebraic form of Hilbert's 13th Problem asks for the resolvent degree \text{rd}(n) of the general polynomial f(x) = x^n + a_1 ...

6 июл. 2020 г. · Hilbert's 13th problem conjectured that there are continuous functions of several variables which cannot be expressed as composition and ...

The formulation of Hilbert's thirteenth problem [8] reads: 'impossibility of solving the general equation of degree 7 by means of any continuous functions ...