Monomial models can be used for analyzing word occurrences.

Mar 7, 2005 ... sequence of monomials. Macaulay [Ma] showed in 1927 that all Hilbert functions over B = k[x1, ··· , xn] are attained by lex ideals. 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 ... You call an expression with a single term a monomial, an expression with two terms is a binomial, and an expression with three terms is a trinomial. An ... A monomial, also called a power product or primitive monomial, [1] is a product of powers of variables with nonnegative integer exponents. A monomial is in a standard form, if first there is a constant (numerical) factor, and then variable factors in alphabetical order. If there are several ... monomial ideals. Proposition 56.1. (Gasharov-Hibi-Peeva, Miller) Let u ∈ M be a monomial, and consider the monomial ideal (M≤u) generated by the monomials ... Sep 24, 2020 ... Hence, −7,a,x1​,24r2st3,5ab​,bx all these terms represents monomials. If you learn about algebra, then you'll see monomials everywhere! Watch this tutorial and learn what makes a monomial, and what does not. Keywords: definition ... the monomial can be evaluated by constructing a sequence of monomials where each monomial is a product of two previous ones. Since the exponent of a ... Mar 12, 2025 ... When dividing monomials, we need to remember our exponent rules, specifically the rule xmxn=xm−n . This means that when bases raised to ...