Abstract
Consider the orthogonal coordinate system with axes x 1, x 2, and x 3 shown in Fig. 1. The base vectors are e i (i = 1, 2, 3), where |e i |= 1. Clearly, the vector r may be written
and since the coordinate system is orthogonal,
where δ ij is the Kronecker delta defined by
and we have introduced the summation convention (7) for repeated indices.
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© 1969 Springer Science+Business Media New York
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Tiersten, H.F. (1969). Elements of Vector and Tensor Notation. In: Linear Piezoelectric Plate Vibrations. Springer, Boston, MA. https://doi.org/10.1007/978-1-4899-6453-3_1
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DOI: https://doi.org/10.1007/978-1-4899-6453-3_1
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