Monomial vector fields arise in certain models.

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 ... Feb 13, 2025 ... In essence, the method approximates the nonlinear dynamics in a linear form by moving the nonlinearity from dynamics and state constraints to ... 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 ... ideal generated by monomials. Accordingly, a monomial algebra is ∆#-graded as well as -graded. 2.2. A resolution. A monomial algebra k∆\I has a natural ... ANSWER: Yes; constants are monomials. 22. 3a. 4. ANSWER: Yes; this is a product of a number and variables. Jun 3, 2016 ... monomials with higher than generic rank. Theorem 1. Let M be a monomial in n ≥ 4 variables and let d = deg M > 1. Then r(M) < rgen(n, d) ... Sep 28, 2019 ... Abstract. Using discrete Morse theory, we give an algorithm that prunes the excess of information in the Taylor. May 19, 2006 ... ... monomial order γ, which is a total order on the monomials, compatible with the multiplication and such that 1 is smaller than any other monomial ... Kaufman TLubotzky AKarloff HPitassi T(2012)Edge transitive ramanujan graphs and symmetric LDPC good codesProceedings of the forty-fourth annual ACM ... monomial module is an S-submodule of T which is generated by monomials xa ... monomial generating set which is either finite or forms a group under multiplication ...