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General Structure of the Diagrams

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Abstract

We start with diagram [GEN1], which shows the relation of exterior differential forms with the classification diagram. The physical variables associated with space elements endowed with an inner orientation are described by multicovectors and, hence, by even differential forms. In contrast, the physical variables associated with space elements endowed with an outer orientation are described by pseudo multicovectors and, hence, by odd differential forms.

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Notes

  1. 1.

    This chapter presupposes previous reading of Chaps. 1–9. The tensorial notation which we will use is summarized in Appendix B.

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Tonti, E. (2013). General Structure of the Diagrams. In: The Mathematical Structure of Classical and Relativistic Physics. Modeling and Simulation in Science, Engineering and Technology. Birkhäuser, New York, NY. https://doi.org/10.1007/978-1-4614-7422-7_14

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