Tensor

A module to manipulate symbolic objects with indices including tensors

Contents

• N-dim array
  • Examples
    • Products and contractions
    • Diagonal operator
    • Derivatives by array
  • Classes
    • ImmutableDenseNDimArray
    • ImmutableSparseNDimArray
    • MutableDenseNDimArray
    • MutableSparseNDimArray
  • Functions
    • derive_by_array()
    • permutedims()
    • tensorcontraction()
    • tensorproduct()
    • tensordiagonal()
• N-dim array expressions
  • Examples
    • Constructing array expressions from index-explicit forms
    • Compatibility with matrices
• Indexed Objects
  • Examples
  • Idx
    • Idx.label
    • Idx.lower
    • Idx.upper
  • Indexed
    • Indexed.base
    • Indexed.indices
    • Indexed.ranges
    • Indexed.rank
    • Indexed.shape
  • IndexedBase
    • IndexedBase.label
    • IndexedBase.offset
    • IndexedBase.shape
    • IndexedBase.strides
• Methods
  • get_contraction_structure()
  • get_indices()
• Tensor
  • TensorIndexType
  • TensorIndex
  • TensorHead
    • TensorHead.commutes_with()
  • tensor_heads()
  • TensExpr
    • TensExpr.get_matrix()
    • TensExpr.replace_with_arrays()
  • TensAdd
    • TensAdd.canon_bp()
    • TensAdd.contract_metric()
  • TensMul
    • TensMul.canon_bp()
    • TensMul.contract_metric()
    • TensMul.get_free_indices()
    • TensMul.get_indices()
    • TensMul.perm2tensor()
    • TensMul.sorted_components()
    • TensMul.split()
  • canon_bp()
  • riemann_cyclic_replace()
  • riemann_cyclic()
  • TensorSymmetry
    • TensorSymmetry.direct_product()
    • TensorSymmetry.fully_symmetric()
    • TensorSymmetry.no_symmetry()
    • TensorSymmetry.riemann()
  • tensorsymmetry()
  • TensorType
  • _TensorManager
    • _TensorManager.clear()
    • _TensorManager.comm_i2symbol()
    • _TensorManager.comm_symbols2i()
    • _TensorManager.get_comm()
    • _TensorManager.set_comm()
    • _TensorManager.set_comms()
• Tensor Operators
  • PartialDerivative