Maple Professional
Maple Academic
Maple Student Edition
Maple Personal Edition
Maple Player
Maple Player for iPad
MapleSim Professional
MapleSim Academic
Maple T.A. - Testing & Assessment
Maple T.A. MAA Placement Test Suite
Möbius - Online Courseware
Machine Design / Industrial Automation
Aerospace
Vehicle Engineering
Robotics
Power Industries
System Simulation and Analysis
Model development for HIL
Plant Modeling for Control Design
Robotics/Motion Control/Mechatronics
Other Application Areas
Mathematics Education
Engineering Education
High Schools & Two-Year Colleges
Testing & Assessment
Students
Financial Modeling
Operations Research
High Performance Computing
Physics
Live Webinars
Recorded Webinars
Upcoming Events
MaplePrimes
Maplesoft Blog
Maplesoft Membership
Maple Ambassador Program
MapleCloud
Technical Whitepapers
E-Mail Newsletters
Maple Books
Math Matters
Application Center
MapleSim Model Gallery
User Case Studies
Exploring Engineering Fundamentals
Teaching Concepts with Maple
Maplesoft Welcome Center
Teacher Resource Center
Student Help Center
RegularChains[FastArithmeticTools][NormalizeRegularChainDim0] - normalize a zero-dimensional regular chain
Calling Sequence
NormalizeRegularChainDim0(rc, R)
Parameters
R
-
polynomial ring
rc
a regular chain of R
Description
Returns a normalized regular chain generating the same ideal as rc.
rc is a zero-dimensional non-empty regular chain.
Moreover R must have a prime characteristic such that FFT-based polynomial arithmetic can be used for this actual computation. The higher the degrees of f and rc are, the larger must be such that divides . If the degree of f or rc is too large, then an error is raised.
Examples
We solve a system in 3 variables and 3 unknowns
Its triangular decomposition consists of only one regular chain
Each initial is not equal to 1, hence this regular chain is not normalized
We compute here a regular chain which is normalized and which describes the same solution as the previous one
We check that it is normalized
We check that the two regular chains describe the set of solutions
See Also
NormalForm, NormalFormDim0, NormalizePolynomialDim0, ReduceCoefficientsDim0, RegularChains
Download Help Document