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Math 382-0: Kursobjekt

Appendix A Notation

Symbol Description Location
\(x\in A\) set membership Definition 0.1.1
\(A\subseteq B\) set inclusion Definition 0.1.3
\(A\cup B\) set union Definition 0.1.8
\(A^c\) set complement Definition 0.1.8
\(A\cap B\) set intersection Definition 0.1.8
\(A-B\) set difference Definition 0.1.8
\(\{\ \}, \emptyset\) the empty set Definition 0.1.9
\(\mathbb{R}\) the real numbers Definition 0.1.9
\(\mathbb{Z}\) the integers Definition 0.1.9
\(\mathbb{Q}\) the rational numbers Definition 0.1.9
\(f\colon A\rightarrow B\) a function from \(A\) to \(B\) Definition 0.2.1
\(f(A)\) image of the set \(A\) under \(f\) Definition 0.2.6
\(\operatorname{im} f\) image of a function \(f\) Definition 0.2.6
\(f\circ g\) the composition of \(f\) and \(g\) Definition 0.2.9
\((a_1,a_2,\dots, a_n)\) \(I\)-tuple Definition 0.3.1
\(A_1\times A_2\times \cdots A_n\) Cartesian product Definition 0.3.4
\(\boldx=(x_i)_{i\in I}\) \(I\)-tuple Definition 0.3.5
\(\prod_{i\in I}A_i\) Cartesian product of the sets \(A_i\) Definition 0.3.6