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Abstract

This section provides a compact exposition of tensor algebra and tensor analysis which are used as a mathematical background for presentation of the fundamentals of TLTDBS. In the recent years tensor analysis in the form without indices has been extensively utilised, however, this form will not be employed here in order to retain the initial form in which the results were obtained. Transition to the form without indices can be easily made and may be recommended as an exercise.

Keywords

Base Vector Covariant Derivative Principal Direction Order Tensor Covariant Component 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 1999

Authors and Affiliations

  • A. N. Guz
    • 1
  1. 1.Institute of MechanicsNational Academy of Sciences of UkraineKievUkraine

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