this is for holding javascript data
Dayo Ogundipe edited For_any_set_A_show__.tex
over 8 years ago
Commit id: 96fadaf27b4170e4b4e501450f89d61dd8b79e1d
deletions | additions
diff --git a/For_any_set_A_show__.tex b/For_any_set_A_show__.tex
index 59757bd..f4d29b8 100644
--- a/For_any_set_A_show__.tex
+++ b/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: $2^A$ := set of all
functions} functions
\\ \[ f : A \rightarrow {0,1} \]