this is for holding javascript data
Dayo Ogundipe edited For_any_set_A_show__.tex
over 8 years ago
Commit id: 1f27b2d9d11ed52af8f9a43c3e9ade96ba27be1a
deletions | additions
diff --git a/For_any_set_A_show__.tex b/For_any_set_A_show__.tex
index 57cbfcb..06ce425 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:
\[ 2 := \{0,1\}
\]
\\ \[ f : A \rightarrow {0,1} \]
\[ f : A \rightarrow {0,1} \]
\underline{2}