Abstract
Let ei. be the unit vectors of the Cartesian frame. They constitute an orthonormal basis, i.e.,
and in this basis each vector u has the unique representation
in terms of its components ui. The orthogonal projections of the vector on the axes,
are identical with its components. As long as we use only Cartesian frames we do not need the distinction between contravariant components, usually defined by (4.2), and covariant components, usually defined by (4.3).
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© 1979 Springer-Verlag New York Inc.
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de Veubeke, B.M.F. (1979). Cartesian Tensors. In: A Course in Elasticity. Applied Mathematical Sciences, vol 29. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-6226-8_4
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DOI: https://doi.org/10.1007/978-1-4612-6226-8_4
Publisher Name: Springer, New York, NY
Print ISBN: 978-0-387-90428-3
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