Abstract
The technical development of this paper begins with the selection of an n-simplex; different selections lead to subdivisions which are linear transformations of one another. There is no loss of generality in selecting a particular simplex; and, therefore, one selects that simplex which most enhances the development. In this regard we define the standard simplex S to be the n-simplex in Gn with vertices s1, ..., sn+1 where or in general
and ei = (0,..., 0, 1, 0,..., 0) is the ith unit vector, see Figure 4.1. We refer to S as the standard simplex.
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© 1984 Springer-Verlag Berlin Heidelberg
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Eaves, B.C. (1984). Standard Simplex S and Matrix Operations. In: A Course in Triangulations for Solving Equations with Deformations. Lecture Notes in Economics and Mathematical Systems, vol 234. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-46516-1_4
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DOI: https://doi.org/10.1007/978-3-642-46516-1_4
Publisher Name: Springer, Berlin, Heidelberg
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