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Monomial order

In mathematics, a monomial order (sometimes called a term order or an admissible 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.,

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Monomial order

Nodes28
Edges27
Triples36
Avg. degree1.93
Density0.071429
Components1

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Monomial order

Top relations

related to Leading monomials, terms, and coefficients · 8
Monomial order → Concretely, Head, In, Some, The, Then, Thus, When
related to Examples · 7
Monomial order → If, In, On, One, The, Therefore, With
related to Related notions · 7
Monomial order → An, For, Gröbner, It, On, This, When
related to Weight order · 7
Monomial order → Cox, For, If, In, It, One, Weight
related to Elimination order · 4
Monomial order → Block, For, This, Two
related to Definition, details and variations · 3
Monomial order → Besides, In, There

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Important terminology

order monomial monomials lexicographic displaystyle ordering indeterminates case graded degree orders total reverse first weight elimination two x1 set gröbner

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Monomial orderrelated to Definition, details and variationsBesides0.60section
Monomial orderrelated to Definition, details and variationsThere0.60section
Monomial orderrelated to Definition, details and variationsIn0.60section
Monomial orderrelated to Elimination orderBlock0.60section
Monomial orderrelated to Elimination orderFor0.60section
Monomial orderrelated to Elimination orderTwo0.60section
Monomial orderrelated to Elimination orderThis0.60section
Monomial orderrelated to ExamplesOn0.60section
Monomial orderrelated to ExamplesTherefore0.60section
Monomial orderrelated to ExamplesThe0.60section
Monomial orderrelated to ExamplesOne0.60section
Monomial orderrelated to ExamplesIf0.60section

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