% % Only the most commonly-used macros. Needed by everything else. % % Place the argument in matching left/right parntheses. \providecommand*{\of}[1]{ \left( {#1} \right) } % Group terms using parentheses. \providecommand*{\qty}[1]{ \left( {#1} \right) } % Group terms using square brackets. \providecommand*{\sqty}[1]{ \left[ {#1} \right] } % Create a set from the given elements \providecommand*{\set}[1]{ \left\lbrace {#1} \right\rbrace } % A set comprehension, where the ``such that...'' bar is added % automatically. The bar was chosen over a colon to avoid ambiguity % with the L : V -> V notation. We can't leverage \set here because \middle % needs \left and \right present. \providecommand*{\setc}[2]{ \left\lbrace {#1}\ \middle|\ {#2} \right\rbrace } % A pair of things. \providecommand*{\pair}[2]{ \left( {#1}, {#2} \right) } % The integral n-space, Z x Z x Z x ... x Z. \providecommand*{\Zn}[1][n]{ \mathbb{Z}^{{#1}} } % The rational n-space, Q x Q x Q x ... x Q. \providecommand*{\Qn}[1][n]{ \mathbb{Q}^{{#1}} } % The real n-space, R x R x R x ... x R. \providecommand*{\Rn}[1][n]{ \mathbb{R}^{{#1}} } % The complex n-space, C x C x C x ... x C. \providecommand*{\Cn}[1][n]{ \mathbb{C}^{{#1}} }