LaTeX.集合 のバックアップの現在との差分(No.1)

\( \LaTeX \)
LaTeXコマンド集：集合
　

集合の基本
要素\( \Large \in \)\in\( \Large \ni \)\ni
包含\( \Large \subset \)\subset\( \Large \supset \)\supset
\( \Large \subseteq \)\subseteq\( \Large \supseteq \)\supseteq
\( \Large \prec \)\prec\( \Large \succ \)\succ
\( \Large \preceq \)\preceq\( \Large \succeq \)\succeq
　
空集合\( \Large \emptyset \)\emptyset

内包的記法
和集合\( \cup \) \cup\( \displaystyle \bigcup^n_{k=1}A_k \) \bigcup^n_{k=1}A_k
共通部分\( \cap \) \cup\( \displaystyle \bigcap^n_{k=1}A_k \) \bigcap^n_{k=1}A_k
差集合\( \setminus \) \setminus
対称差\( \bigtriangleup \) \bigtriangleup\( \ominus \) \ominus\( \oplus \) \oplus
直積\( \times \) \times\( \displaystyle \prod^n_{k=1} A_k \)
\( \displaystyle \Large A = \left\{ \frac{n}{m} \middle| n,m \in \mathbb{R} \right\} \)
A = \left\{ \frac{n}{m} \middle| n,m \in \mathbb{R} \right\}

集合演算
和集合\( \Large \cup \) \cup\( \displaystyle\Large \bigcup^n_{k=1}A_k \) \bigcup^n_{k=1}A_k
共通部分\( \Large \cap \) \cap\( \displaystyle\Large \bigcap^n_{k=1}A_k \) \bigcap^n_{k=1}A_k
差集合\( \Large \setminus \) \setminus
対称差\( \Large \bigtriangleup \) \bigtriangleup\( \Large \ominus \) \ominus\( \Large \oplus \) \oplus
直積\( \Large \times \) \times\( \displaystyle\Large \prod^n_{k=1} A_k \) \prod^n_{k=1} A_k

　
冪集合\( 2^A \)2^A
\( \mathbb{P}(A) \)\mathbb{P}(A)
\( \mathfrak{P}(A) \)\mathfrak{P}(A)
\( \mathfrak{Pow}(A) \)\mathfrak{Pow}(A)
\( \cal{P}(A) \)\cal{P}(A)
\( \prod (A) \)\prod (A)
\( \mathrm{Power}(A) \)\mathrm{Power}(A)
\( \wp(A) \)\wp(A)
\( \Large \mathbb{P}(A) \)\mathbb{P}(A)
\( \Large \mathfrak{P}(A) \)\mathfrak{P}(A)
\( \Large \mathfrak{Pow}(A) \)\mathfrak{Pow}(A)
\( \Large \cal{P}(A) \)\cal{P}(A)
\( \Large \prod (A) \)\prod (A)
\( \Large \mathrm{Power}(A) \)\mathrm{Power}(A)
\( \Large \wp(A) \)\wp(A)

　
要素\( \in \)\in\( \ni \)\ni
包含\( \subset \)\subset\( \supset \)\supset
\( \subseteq \)\subseteq\( \supseteq \)\supseteq

組・順序対
順序対\( \Large \langle x,y \rangle \)\langle x,y \rangle
組\( \Large \langle x_1,x_2,\dots,x_n \rangle \)\langle x_1,x_2,\dots,x_n \rangle