System of polynomial equations
id:
system-of-polynomial-equations-258-14634621
title:
System of polynomial equations
text:
A system of polynomial equations is a set of simultaneous equations f1 = 0, ..., fh = 0 where the fi are polynomials in several variables, say x1, ..., xn, over some field k. A solution of a polynomial system is a set of values for the xis which belong to some algebraically closed field extension K of k, and make all equations true. When k is the field of rational numbers, K is generally assumed to be the field of complex numbers, because each solution belongs to a field extension of k, which is
brand slug:
wiki
category slug:
encyclopedia
description:
Roots of multiple multivariate polynomials
original url:
https://en.wikipedia.org/wiki/System_of_polynomial_equations
date created:
date modified:
2024-04-09T12:17:39Z
main entity:
{"identifier":"Q7663735","url":"https://www.wikidata.org/entity/Q7663735"}
image:
fields total:
13
integrity:
14