Modules

• Tutorial: Using Free Modules and Vector Spaces
  • Construction, arithmetic, and basic usage
  • Manipulating free module elements
  • Manipulating free modules
  • Review
• Abstract base class for modules
• Free modules
• Discrete Subgroups of \(\ZZ^n\).
• Elements of free modules
• Free modules of finite rank
• Pickling for the old CDF vector class
• Pickling for the old RDF vector class
• Vectors over callable symbolic rings
• Space of Morphisms of Vector Spaces (Linear Transformations)
• Vector Space Morphisms (aka Linear Transformations)
  • Creation
  • Properties
  • Restrictions and Representations
  • Equality
• Homspaces between free modules
• Morphisms of free modules
• Morphisms defined by a matrix
• Finitely generated modules over a PID
• Elements of finitely generated modules over a PID
• Morphisms between finitely generated modules over a PID
• Finite \(\ZZ\)-modules with with bilinear and quadratic forms.
• Diamond cutting implementation
• Concrete classes related to modules with a distinguished basis.
• Cell Modules
• Module with basis morphisms
• Quotients of Modules With Basis
• Iterators over finite submodules of a \(\ZZ\)-module
• Free quadratic modules
• Integral lattices
• Miscellaneous module-related functions.
• Quotients of finite rank free modules over a field.
• Dense complex double vectors using a NumPy backend.
• Dense vectors using a NumPy backend.
• Vectors with integer entries
• Vectors with elements in GF(2).
• Vectors with integer mod n entries, with n small.
• Vectors with rational entries.
• Dense real double vectors using a NumPy backend.
• Vectors over the symbolic ring.
• \(\ZZ\)-Filtered Vector Spaces
• Multiple \(\ZZ\)-Graded Filtrations of a Single Vector Space
• Helper Classes to implement Tensor Operations

Indices and Tables

• Index
• Module Index
• Search Page