Monomial order
id:
monomial-order-322-4056113
title:
Monomial order
text:
In mathematics, a monomial order is a total order on the set of all (monic) monomials in a given polynomial ring, satisfying the property of respecting multiplication, i.e., If u ≤ v and w is any other monomial, then u w ≤ v w . Monomial orderings are most commonly used with Gröbner bases and multivariate division. In particular, the property of being a Gröbner basis is always relative to a specific monomial order.
brand slug:
wiki
category slug:
encyclopedia
description:
Order for the terms of a polynomial
original url:
https://en.wikipedia.org/wiki/Monomial_order
date created:
date modified:
2024-01-25T18:51:17Z
main entity:
{"identifier":"Q934509","url":"https://www.wikidata.org/entity/Q934509"}
image:
fields total:
13
integrity:
14