Basis

• Basis is a reserved word in xTensor`. It represents the type for basis symbols.
• Basis[a, {-b, -basis}] represents one of the vector fields of basis. Basis[-a, {b, basis}] represents one of the covector fields of its dual basis.
• Basis[{a, basis1}, {-b, -basis2}] or Basis[{-a, -basis2}, {b, basis1}] represent the matrix of change of basis between basis1 and basis2.

• Basis has attribute Orderless.
• When Basis has two abstract indices it is automatically translated into the delta tensor.
• When Basis has two numerical basis indices of the same basis, it acts as a Kronecker delta.
• See: Section 4.7.
• See also: BasisQ, $Bases.
• New in version 0.
• Last update: 25-X-2007 for version 0.9.3 of xTensor`.

Created by Mathematica  (May 16, 2008)