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characteristic_function [2014/03/21 11:11] 127.0.0.1 external edit |
characteristic_function [2014/04/08 14:48] nikolaj |
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| | @#55CCEE: context | @#55CCEE: $X$ | | | @#55CCEE: context | @#55CCEE: $X$ | | ||
| | @#55CCEE: context | @#55CCEE: $A\subseteq X$ | | | @#55CCEE: context | @#55CCEE: $A\subseteq X$ | | ||
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| | @#FFBB00: definiendum | @#FFBB00: $\chi_A:X\to \{0,1\} $ | | | @#FFBB00: definiendum | @#FFBB00: $\chi_A:X\to \{0,1\} $ | | ||
| | @#FFBB00: definiendum | @#FFBB00: $ \chi_A(x) := \begin{cases} 1 & \mathrm{if}\ x\in A\\\\ 0 & \mathrm{else} \end{cases}$ | | | @#FFBB00: definiendum | @#FFBB00: $ \chi_A(x) := \begin{cases} 1 & \mathrm{if}\ x\in A\\\\ 0 & \mathrm{else} \end{cases}$ | | ||
