this is for holding javascript data
Dayo Ogundipe edited For_any_set_A_show__.tex
over 8 years ago
Commit id: de566d1d79f32f817eabf8b7899fe024be9aa959
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diff --git a/For_any_set_A_show__.tex b/For_any_set_A_show__.tex
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--- a/For_any_set_A_show__.tex
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For any set A, show there is a one-to-one correspondence between the $\mathcal{P}(A)$ of all subsets of A and the set $2^A$ of all functions $\alpha: A\to \{0,1\}$. (Hint: use the indicator function of a set).
\\ Notation: For sets A ,
2: \underline{2}: 2^A set of all function $f:A \rightarrow 2$
\\$\underline{2}$ := \{0,1\}
$2^A$ := set of all functions