How are monomials used in the field of pattern recognition?

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 ... A monomial refers to an expression that involves one term, like 3xy. Monomials include variables, numbers, and whole numbers whose multiplication takes place ... Definition: Monomial. A monomial is a single-term algebraic expression that is the product of constants and variables, where the variables only have nonnegative ... Jul 24, 2014 ... 1 Answer ... A monomial is a mathematical expression which is made up of only one term. It cannot contain any addition or subtraction signs or a ... Abstract. We consider Newton matrices for which the Newton coefficients are positive. We show that one monomial in these coefficients dominates another. Monomials and polynomials ... are not since these numbers don't fulfill all criteria. The degree of the monomial is the sum of the exponents of all included ... “Mono” means one. When polynomials are classified on the basis of the number of terms, the polynomials with only a single term are called monomials. This single ... Abstract. We show that for every r ∈ Z>0 there exist monomial ideals generated in degree two, with linear syzygies, and regularity of the quotient equal to ... Jan 9, 2024 ... A monomial is a mathematical expression in algebra that consists of a single term. Unlike other algebraic expressions that might have multiple terms separated ... May 1, 2020 ... 1 Expert Answer ... Monomial, binomial, and trinomial are types of polynomials. A polynomial is an algebraic equation that consists of many (poly) ...