Abstract
The aim of this section is to review so me of the basic properties of indicators that will be needed later. We let F be a random set (i.e. all the points belonging to one particular facies). Let \( \overline {\hbox{F}} \) be its complement (i.e. the points that do not belong to F). The indicator function for the set F takes the value 1 at all the points inside F; it takes the value 0 elsewhere. This indicator function is denoted by \( {1_{\rm{F}}}({\hbox{x}}) \). In the Fig. 3.1, the set F has been shaded. Its complement \( \overline {\hbox{F}} \) includes all of the non-shaded area. The set F could be any shape or form, and need not be a single piece. It could be split into several parts.
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© 2011 Springer-Verlag Berlin Heidelberg
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Armstrong, M. et al. (2011). Basic Properties of Indicators. In: Plurigaussian Simulations in Geosciences. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-19607-2_3
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DOI: https://doi.org/10.1007/978-3-642-19607-2_3
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