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
OreTools[Utility][Coefficient] - return the coefficient of a specific power in an Ore polynomial
OreTools[Utility][Coefficients] - return the coefficient sequence of an Ore polynomial
OreTools[Utility][Degree] - return the degree of an Ore polynomial with respect to the noncommutative indeterminate
OreTools[Utility][LeadingCoefficient] - return the leading coefficient of an Ore polynomial
OreTools[Utility][LowDegree] - return the degree of the least power with nonzero coefficient
OreTools[Utility][RandOrePoly] - return a random Ore polynomial
OreTools[Utility][TrailingCoefficient] - return the trailing coefficient of an Ore Polynomial
OreTools[Utility][VariableDegree] - return the maximal degree of the coefficients of an Ore Polynomial in the variable in an Ore algebra
Calling Sequence
Coefficient(Poly, n)
Coefficients(Poly)
Degree(Poly)
LeadingCoefficient(Poly)
LowDegree(Poly)
RandOrePoly(A, opts)
TrailingCoefficient(Poly)
VariableDegree(Poly, A)
Parameters
Poly
-
Ore polynomial; to define an Ore polynomial, see OreTools/OrePoly
n
non-negative integer
A
Ore algebra
opts
options
Description
The Coefficient(Poly, n) calling sequence returns the coefficient of the nth power of the noncommutative indeterminate in Poly.
The Coefficients(Poly) calling sequence returns the sequence of coefficients of Poly.
The Degree(Poly) calling sequence returns the degree of Poly with respect to the noncommutative indeterminate.
The LeadingCoefficient(Poly)] calling sequence returns the leading coefficient of Poly.
The LowDegree(Poly) calling sequence returns the trailing degree of Poly.
The RandOrePoly(A) calling sequence returns a random Ore polynomial in the Ore algebra A.
The first argument A specifies the ring in which the polynomial is to be generated. The possible options are:
coeffs - Generate the coefficients
terms - Number of terms in the noncommutative indeterminate
degree - Degree on the noncommutative indeterminate
The TrailingCoefficient(Poly) calling sequence returns the trailing coefficient of A.
The VariableDegree(Poly, A) calling sequence returns the maximal degree of coefficients of Poly with respect to the variable in A. Note that the coefficients of Poly are supposed to be polynomials in the variable.
For a brief review of pseudo-linear algebra (also known as Ore algebra), see OreAlgebra.
Examples
See Also
OreTools, OreTools/OreAlgebra, OreTools/SetOreRing, OreTools[Utility], randpoly
Download Help Document
