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bn:03556663n
Noun Concept
Categories: Polynomials, Order theory
EN
monomial order  Graded lexicographic order  Graded lexicographic ordering  graded reverse lexicographic order  Graded reverse lexicographic ordering
EN
In mathematics, a monomial order is a total order on the set of all monomials in a given polynomial ring, satisfying the property of respecting multiplication, i.e., If u ≤ v {\displaystyle u\leq v} and w {\displaystyle w} is any other monomial, then u w ≤ v w {\displaystyle uw\leq vw}. Wikipedia
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EN
In mathematics, a monomial order is a total order on the set of all monomials in a given polynomial ring, satisfying the property of respecting multiplication, i.e., If u ≤ v {\displaystyle u\leq v} and w {\displaystyle w} is any other monomial, then u w ≤ v w {\displaystyle uw\leq vw}. Wikipedia
Order for the terms of a polynomial Wikidata
IS A
total order
Wikipedia
EN
monomial order
Wikidata
EN
monomial order
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EN
Graded lexicographic order, Graded lexicographic ordering, graded reverse lexicographic order, Graded reverse lexicographic ordering, grevlex, grlex, Leading monomial, lexdeg, monomial ordering

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