Outline
Motivation
Operations
Representations
Vectorization
Rank
Conclusions

Simple orderings
 Simple orderings:
 Can be expressed by degree and Lex or RevLex comparison
 RevLex ordering:
 Reverse placement of exponents in exponent vector
a_{n} 
a_{n1} 
... 
a_{1} 
a_{0} 
 Little Endian machines:
 Reverse placement of exponents in exponent vector
 Degree orderings:
 Put degree entry in front of exponent vector
deg(a) 
a_{n} 
a_{n1} 
... 
a_{1} 
a_{0} 
 Mix of degree and Lex/RevLex
conditions:
 Reverse "sign" of condition
