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master
Levi Pearson 2014-01-25 15:53:09 -07:00
parent 2dddf218c7
commit c43805b6fb
1 changed files with 5 additions and 5 deletions
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10
math/proof/notes.page
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@ -232,12 +232,12 @@ A_1 \cap A_2 \cap A_3 \cap \dots \cap A_n &=
Given $A_1, A_2, \dots, A_n$ we define
$$\begin{align}
\bigcup{i=1}{n} A_i &= A_1 \cup A_2 \cup \dots \cup A_n\\
\bigcap{i=1}{n} A_i &= A_1 \cap A_2 \cap \dots \cap A_n\\
\bigcup_{i=1}^{n} A_i &= A_1 \cup A_2 \cup \dots \cup A_n\\
\bigcap_{i=1}^{n} A_i &= A_1 \cap A_2 \cap \dots \cap A_n\\
\end{align}$$
$$
A_1 = \{-1,0,1}, A_2 = \{-2,0,2}, \dots, A_i = \{-i,0,i}, \dots\\
\bigcup{i=1}{\inf} A_i = \Bbb{Z} \text{ and }
\bigcap{i=1}{\inf} A_i = \{0\}\\
A_1 = \{-1,0,1\}, A_2 = \{-2,0,2\}, \dots, A_i = \{-i,0,i\}, \dots\\
\bigcup_{i=1}^{\inf} A_i = \Bbb{Z} \text{ and }
\bigcap_{i=1}^{\inf} A_i = \{0\}\\
$$