LaTeX.集合 のバックアップソース(No.5)

CENTER:|>|CENTER:&size(36){''[[&mathjax{\LaTeX};>LaTeX]]''};|
|>|CENTER:&size(18){[[LaTeXコマンド集>LaTeX#command]]：''集合''};|

　
**集合の基本 [#w0d4722b]

|要素|&mathjax{\Large \in}; |>| \in||&mathjax{\Large \ni}; |>| \ni|
|包含|&mathjax{\Large \subset}; |>| \subset||&mathjax{\Large \supset}; |>| \supset|
|~|&mathjax{\Large \subseteq}; |>| \subseteq||&mathjax{\Large \supseteq}; |>| \supseteq|
　
|空集合|&mathjax{\Large \emptyset};|\emptyset|



**内包的記法 [#l8e9e444]

&mathjax{\displaystyle \Large A = \left\{ \frac{n}{m} \middle| n,m \in \mathbb{R} \right\} };

A = \left\{ \frac{n}{m} \middle| n,m \in \mathbb{R} \right\}

**集合演算 [#qbb1d1b1]

| 和集合 | &mathjax{\Large \cup}; \cup |>| &mathjax{\displaystyle\Large  \bigcup^n_{k=1}A_k };  \bigcup^n_{k=1}A_k |
| 共通部分 | &mathjax{\Large \cap}; \cap |>| &mathjax{\displaystyle\Large  \bigcap^n_{k=1}A_k };  \bigcap^n_{k=1}A_k |
| 差集合 |>|>| &mathjax{\Large \setminus}; \setminus |
| 対称差 | &mathjax{\Large \bigtriangleup}; \bigtriangleup | &mathjax{\Large \ominus}; \ominus | &mathjax{\Large \oplus}; \oplus |
|直積|&mathjax{\Large \times}; \times|>| &mathjax{\displaystyle\Large  \prod^n_{k=1} A_k};  \prod^n_{k=1} A_k|
　
|冪集合| &mathjax{2^A}; |>| 2^A|
|~|&mathjax{\Large \mathbb{P}(A)}; |>| \mathbb{P}(A)|
|~|&mathjax{\Large \mathfrak{P}(A)}; |>| \mathfrak{P}(A)|
|~|&mathjax{\Large \mathfrak{Pow}(A)}; |>| \mathfrak{Pow}(A)|
|~|&mathjax{\Large \cal{P}(A)}; |>| \cal{P}(A)|
|~|&mathjax{\Large \prod (A)}; |>| \prod (A)|
|~|&mathjax{\Large \mathrm{Power}(A)}; |>| \mathrm{Power}(A)|
|~|&mathjax{\Large \wp(A)}; |>| \wp(A)|
　


**組・順序対 [#k39159e9]
|順序対|&mathjax{\Large \langle x,y \rangle};|\langle x,y \rangle|
|組|&mathjax{\Large \langle x_1,x_2,\dots,x_n \rangle};|\langle x_1,x_2,\dots,x_n \rangle|