What are some resources (e.g., websites, books) where you can learn more about monomials?

Abstract. We consider Newton matrices for which the Newton coefficients are positive. We show that one monomial in these coefficients dominates another. Polynomials. polynomial—A monomial, or two or more monomials, combined by addition or subtraction monomial—A polynomial with exactly one term binomial— ... Monomial - the prefix mono means one. A monomial is one term. A monomial can be any of the following: Jun 10, 2012 ... Thank you very much, don't know how long I'd be looking for it without your help. However, I have to do `list((x*y^3).factor())`. For some ... Note: Monomials are just math expressions with a bunch of numbers and variables multiplied together, and one way to compare monomials is to keep track of ... ... monomial ideal of depth at most 2, to any monomial ideal in at most 3 variables, and to any monomial ideal which is generic with respect to one variable. Apr 29, 2021 ... That's just the definition of a monomial. It is a product of variables. A binomial is defined as the sum of two monomials, so as a, b are ... Feb 4, 2025 ... Monomial Binomial and Trinomial. A monomial expression has, only one term. For example, 3xy is a monomial. A binary expression is one which has ... For a matroid M and rank r, we associate a monomial ideal (a monomial variant of the Orlik–Solomon ideal) to the set of flats of M of rank at most r. In ... Let J ⊂ R a monomial ideal minimally generated by monomials. µ1,...,µr . For all subset σ ⊂ {1,...,r} we define the monomial. µ(J,σ) := lcm(µi |i ∈ σ) ∈ R ...