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Dayo Ogundipe edited untitled.tex
over 8 years ago
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\section{Finding One to One Correspondence}
Find a one-to-one correspondence from the set \mathbb{N} of positive integers to the set \mathbb{Z} of all integers (positive, negative, or zero).
\\ \[ \mathbb{N} \in \> \>
1, \{1, \> \> \> 2, \> \> \> 3, \> \> \> 4, \> \> \> 5, \> \> \> 6, \> \> \> \ 7
\} \]
\[ \downarrow \> \> \> \downarrow \> \> \> \downarrow \> \> \> \downarrow \> \> \> \downarrow \> \> \> \downarrow \> \> \> \downarrow \]
\[ \mathbb{Z} \in
{-3, \{-3, -2, -1,\> \> \> 0,\> \> \> 1,\> \> \> 2, \> \>
3} 3\} \]