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
DifferentialGeometry[IntersectSubspaces] - find the intersection of a list of vector subspaces of vectors, forms or tensors
Calling Sequence
IntersectSubspaces(S)
Parameters
S
-
a list [A1, A2, ...], where each Ai is a list of vectors, forms or tensors
Description
IntersectSubspaces(S) computes the intersection of the subspaces spanned by the elements of the list.
This command is part of the DifferentialGeometry package, and so can be used in the form IntersectSubspaces(...) only after executing the command with(DifferentialGeometry). It can always be used in the long form DifferentialGeometry:-IntersectSubspaces.
Examples
Initialize a 4-dimensional manifold M with coordinates [x, y, z, w].
Example 1.
Find the intersection of the three 3 dimensional subspaces spanned by A1, A2, A3.
Example 2.
Find the intersection of the subspaces of 2-forms spanned by B1 and B2. Check the result using the GetComponents command.
The command GetComponents returns the components of the 2-form in C with respect to the 2-forms in B1 and B2. This proves that the 2-form in C does indeed belong to the intersection of the spans of B1 and B2.
See Also
DifferentialGeometry, DGbasis, GetComponents
Download Help Document
