##  [Lexicographic Order](/lexicographic-order) 

  ##  [Lexicographic Order](https://algebra.quantumdictionary.io/lexicographic-order-0) 

  

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- Pure Mathematics -

**Algebra Dictionary**

 







 

 

 

 



 

 

 

 

Definition

A monomial ordering that compares exponent vectors componentwise from a specified first variable to last: given a fixed variable ordering, two monomials are compared by the first exponent at which they differ, with the larger exponent at that position making the monomial larger. It is a total, well-founded order on monomials used in symbolic polynomial algorithms.