How are monomials used in the theory of special functions?

Sep 28, 2019 ... Abstract. Using discrete Morse theory, we give an algorithm that prunes the excess of information in the Taylor. 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. Polynomials. polynomial—A monomial, or two or more monomials, combined by addition or subtraction monomial—A polynomial with exactly one term binomial— ... Jan 25, 2010 ... Given a monomial curve C: t 7→ (1 : ti1 : ... : tin ), and the surface Z: (λ, ω) 7→ (1 − λ, ωi1 − λ,...,ωin − λ) ⊂ Tn+1. Then: T (Sec1 ... Yes, x y 2 is a monomial. A monomial is an algebraic expression that consists of one term. x y 2 is one term because it is the product of variables and/or ... Apr 3, 2024 ... ... monomial algebras, and aim to understand what the Auslander-Gorenstein property means in these settings. First, we will try to find a ... Monomial - the prefix mono means one. A monomial is one term. A monomial can be any of the following: We now give the normalize algorithm. Here we partially order polynomials by their leading monomials using the monomial order that we have fixed. The statement ... 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. monomial self-map f : X X corresponds to a Z-linear map φ : N → N. See. Sections 1 and 2 for more details. We work in codimension 1 and say that f is 1 ...