What are monomial designs?

Kaufman TLubotzky AKarloff HPitassi T(2012)Edge transitive ramanujan graphs and symmetric LDPC good codesProceedings of the forty-fourth annual ACM ... 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 ... A monomial is a polynomial with just one term. A monomial has a coefficient, a variable or variables, and exponents for each variable. A monomial is a product of positive integer powers of a fixed set of variables (possibly) together with a coefficient, eg, x, 3xy^2, or -2x^2y^3z. 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 ... May 9, 2021 ... Comments Section ... It's equal to a monomial when x ≠ 0, but why even address the question in the first place? Make sure the students know that a ... 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 ... 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 ... 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) ... what is a Groebner basis? ... A Groebner basis is a specific generating set of an ideal or submodule over a polynomial ring. It is not minimal in general, but has ...