Monomials Are Uniquely Defined By Their Exponent Vectors So Computers Can Represent Monomials Efficiently As Exponent Vectors, Polynomial Ring, Vector {\Displaystyle A=[A_{1},\Ldots ,A_{N}]} A[A_1, \Ldots ,A_N] Is Called The Exponent Vector Of M, Syzygies

Abstract

discuss the following system: Monomials Are Uniquely Defined By Their Exponent Vectors So Computers Can Represent Monomials Efficiently As Exponent Vectors, Polynomial Ring, Vector {\Displaystyle A=[A_{1},\Ldots ,A_{N}]} A[A_1, \Ldots ,A_N] Is Called The Exponent Vector Of M, Syzygies Of Projective Varieties Of Large Degree: Recent Progress And Open Problems, Total Order Satisfying These Conditions Is Sometimes Called An Admissible Ordering, Elimination Ordering, Lexdeg And Reduction, Multivariate Division Or Normal Form Computation, Is Central To Gröbner Basis Theory

The full paper: http://www.iiste.org/PDFshare/APTA-PAGENO-761916-768230.pdf