An OpenMath Content Dictionary for Tensor Concepts

  • Joseph B. Collins
Part of the Lecture Notes in Computer Science book series (LNCS, volume 6167)


We introduce a new OpenMath content dictionary named “tensor1” containing symbols for the expression of tensor formulas. These symbols support the expression of non-Cartesian coordinates and invariant, multilinear expressions in the context of coordinate transformations. While current OpenMath symbols support the expression of linear algebra formulas using matrices and vectors, we find that there is an underlying assumption of Cartesian, or standard, coordinates that makes the expression of general tensor formulas difficult, if not impossible. In introducing these new OpenMath symbols for the expression of tensor formulas, we attempt to maintain, as much as possible, consistency with prior OpenMath symbol definitions for linear algebra.


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Copyright information

© Springer-Verlag Berlin Heidelberg 2010

Authors and Affiliations

  • Joseph B. Collins
    • 1
  1. 1.Naval Research LaboratoryWashington

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