An OpenMath Content Dictionary for Tensor Concepts

Abstract

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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Document Details

Document Type
Technical Report
Publication Date
May 01, 2010
Accession Number
ADA521860

Entities

People

  • Joseph B. Collins

Organizations

  • United States Naval Research Laboratory

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DTIC Thesaurus Topics

  • Abstracts
  • Cartesian Coordinates
  • Coordinate Systems
  • Dictionaries
  • Differential Equations
  • Engineering
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  • Equations
  • Information Operations
  • Military Research
  • Notation
  • Partial Differential Equations
  • Physics
  • Semantics
  • Standards
  • Vector Spaces

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