# Monomial

### A new class of monomial bent functions

Finite Fields and Their Applications 14 (2008) 221–241 http://www.elsevier.com/locate/ffa A new class of monomial bent functions Anne Canteaut

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### Topological Cohen-Macaulaycriteria for monomial ideals Ezra ...

2 EZRA MILLER monomial in S can be expressed uniquely asx a = x a 1 1 ···x a n n for some vector a= ( a 1,...,a n) 2 N n of n nonnegative integers. More generally, Laurentmonomials in S [ x ¡ 1 1,...,x ¡ 1 n]canbeexpressedasx a for vectorsa 2 Z n ofarbitrary integers.

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### Multiplying Monomials

i-iv_fm-827745 i-iv_fm-827745. Simplify each expression. Multiplying Monomials (Pages 410-415) NAME _____DATE_____PERIOD_____ Chapter 8 8-1 8-1 © Glencoe/McGraw-Hill 59 Glencoe Algebra 1 An expression like 5 x 2 is called a monomial .

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### Dividing Polynomials

If the divisor is a monomial, we will divide each term in the dividend by that monomial term and then simplify. ex : (40 x 3 - 4 x 2 + 2 x - 7) ÷ (20 x ) x x x x x x x 20 7 20 2 20 4 20 40 2 3 − + − x x x 20 7 10 1 5 2 2 − + − Dividing a polynomial by a divisor with more than one term.

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### Monomial Ideals, Binomial Ideals, Polynomial Ideals

Trends in Commutative Algebra MSRI Publications Volume 51,2004 Monomial Ideals, Binomial Ideals, Polynomial Ideals BERNARDTEISSIER Abstract. These lectures provide a glimpse of the applications of toric geometry to singularity theory.

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### Monomial Factors

David W. Sabo (2003) Monomial Factors Page 1 of 7 The Mathematics 11 Competency Test Monomial Factors The first stage of factoring an algebraic expression involves the identification of any factors which are monomials.

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### Investigating Monomials (pp. 1 of 4) - 1) Monomial—What is ...

Algebra 2 HS Mathematics Unit: 06 Lesson: 01 © 2009, TESCCC 10/27/09 page 11 of 61 Investigating Monomials (pp. 1 of 4) Definition 1) Monomial—What is a monomial?

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### On monomial graphs of girth eight

ARTICLE IN PRESS YFFTA:566 Please cite this article in press as: V. Dmytrenkoetal., On monomial graphs of girth eight, Finite Fields Appl. (2006), doi:10.1016/j.ffa.2006.03.001 JID:YFFTA AID:566/FLA [m1+; v1.71; Prn:2/05/2007; 14:38]P.2 (1-15) 2 V. Dmytrenkoetal.

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### Factors and Monomials

An expression like 5 x is called a monomial . Amonomial is an integer, a variable, or a product of integers or variables. EXAMPLES AIs 4 y (5 x ) a monomial?

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### Monomial Ideals

Monomial Ideals Serkan Ho stenandGregory G. Smith Monomial ideals form an important link between commutative algebra and combinatorics. In this chapter, we demonstrate how to implement algorithms inMacaulay 2for studying and using monomial ideals.

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