How are monomials used in the field of nuclear engineering (e.g., in reactor kinetics)?

Lemma 1.2 Every monomial ideal has a unique minimal set of monomial generators, and this set is finite. Proof. The Hilbert Basis Theorem says that every ideal ... Sep 20, 2024 ... The main contribution of this paper is the introduction of a novel invariant of a monomial ideal, termed its signature. Oct 22, 2024 ... PDF | The irreducible decomposition of a monomial ideal has played an important role in combinatorial commutative algebra, with applications ... Nov 21, 2023 ... If does define an exponential, then is externally definable in any model of with a monomial group that is compatible with the exponential. We ... 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 ... Three of the most important words to learn are monomial, binomial, and polynomial. In this article, we'll define all three to deepen our understanding of ... 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 ... ture on complexity issues and monomial ideals in four or more variables. 1 Introduction. A monomial ideal M is an ideal generated by monomials xi1. 1 xi2. 2 ... 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 ... Jan 31, 2022 ... I decided to formalize this definition and make it more rigorous by defining a monomial as a polynomial such that all the coefficients except one are zero.