Title
Rule-Based Simplification in Vector-Product Spaces
Abstract
A vector-product space is a component-free representation of the common three-dimensional Cartesian vector space. The components of the vectors are invisible and formally inaccessible, although expressions for the components could be constructed. Expressions that have been built from the scalar and vector products can be simplified using a rule-based system. In order to develop and specify the system, an axiomatic system for a vector-product space is given. In addition, a brief description is given of an implementation in Aldor. The present work provides simplification functionality which overcomes difficulties encountered in earlier packages.
Year
DOI
Venue
2007
10.1007/978-3-540-73086-6_10
mathematical knowledge management
Keywords
Field
DocType
vector-product spaces,vector product,axiomatic system,rule-based system,component-free representation,earlier package,present work,common three-dimensional cartesian vector,simplification functionality,vector-product space,brief description,rule-based simplification,rule based system,three dimensional,vector space,product space,rule based
Function space,Vector space,Axiomatic system,Algebra,Expression (mathematics),Inner product space,Scalar (physics),Pure mathematics,Coordinate space,Mathematics,Cartesian coordinate system
Conference
Volume
ISSN
Citations 
4573
0302-9743
1
PageRank 
References 
Authors
0.39
1
2
Name
Order
Citations
PageRank
Songxin Liang1215.09
David J. Jeffrey21172132.12