Abstract
In this chapter we recall the basic definitions of coordinate systems in \(\mathcal {R}^3\) and the related geometric concepts.
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Notes
- 1.
Note: Let us remind that in a linear vector space X, the \(\text {Span} \{\varvec{x}_i, \ i=1,2,\dots ,N\}\) is just the linear subspace generated by the linear combinations \(\{\sum _{i=1}^N \lambda _i \varvec{x}_i, \ \lambda _i \in \mathcal {R}, \ \forall i\}\); when the space becomes infinite dimensional, the \(\text {Span} \{\varvec{x}_i, \ i=1,2,\dots \}\) is just the subspace of all such finite dimensional linear combinations.
References
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Sansò F., Sideris M.G. (2013). Geoid determination: Theory and methods. Lecture Notes in Earth System Sciences, Vol. 110. Springer-Verlag, Berlin, Heidelberg.
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Sansò, F., Reguzzoni, M., Barzaghi, R. (2019). General Coordinates in \(\mathcal {R}^3\). In: Geodetic Heights. Springer Geophysics. Springer, Cham. https://doi.org/10.1007/978-3-030-10454-2_2
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DOI: https://doi.org/10.1007/978-3-030-10454-2_2
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