X-Git-Url: http://gitweb.michael.orlitzky.com/?a=blobdiff_plain;f=mjo-common.tex;h=e74648416d8a02bb7128c7f50275daecb5e7d3a8;hb=610aa4407cffced15993db66553e478510ba26ff;hp=6aac4ca84be42e3777562c7dd6aecd9526d1ebc0;hpb=ba0227140d34fe1c8cacdb4996b5896aec4c4013;p=mjotex.git diff --git a/mjo-common.tex b/mjo-common.tex index 6aac4ca..e746484 100644 --- a/mjo-common.tex +++ b/mjo-common.tex @@ -5,11 +5,13 @@ \def\havemjocommon{1} -% Needed for \mathbb. -\usepackage{amsfonts} +\ifx\mathbb\undefined + \usepackage{amsfonts} +\fi -% Needed for \bigtimes. -\usepackage{mathtools} +\ifx\bigtimes\undefined + \usepackage{mathtools} +\fi % Place the argument in matching left/right parentheses. \newcommand*{\of}[1]{ \left({#1}\right) } @@ -64,36 +66,94 @@ \mathbb{N}\if\detokenize{#1}\detokenize{1}{}\else^{#1}\fi } +\ifdefined\newglossaryentry + \newglossaryentry{N}{ + name={\ensuremath{\Nn[1]}}, + description={the set of natural numbers}, + sort=N + } +\fi + % The integral n-space, Z x Z x Z x ... x Z. \newcommand*{\Zn}[1][n]{ \mathbb{Z}\if\detokenize{#1}\detokenize{1}{}\else^{#1}\fi } +\ifdefined\newglossaryentry + \newglossaryentry{Z}{ + name={\ensuremath{\Zn[1]}}, + description={the ring of integers}, + sort=Z + } +\fi + % The rational n-space, Q x Q x Q x ... x Q. \newcommand*{\Qn}[1][n]{ \mathbb{Q}\if\detokenize{#1}\detokenize{1}{}\else^{#1}\fi } +\ifdefined\newglossaryentry + \newglossaryentry{Q}{ + name={\ensuremath{\Qn[1]}}, + description={the field of rational numbers}, + sort=Q + } +\fi + % The real n-space, R x R x R x ... x R. \newcommand*{\Rn}[1][n]{ \mathbb{R}\if\detokenize{#1}\detokenize{1}{}\else^{#1}\fi } +\ifdefined\newglossaryentry + \newglossaryentry{R}{ + name={\ensuremath{\Rn[1]}}, + description={the field of real numbers}, + sort=R + } +\fi + + % The complex n-space, C x C x C x ... x C. \newcommand*{\Cn}[1][n]{ \mathbb{C}\if\detokenize{#1}\detokenize{1}{}\else^{#1}\fi } +\ifdefined\newglossaryentry + \newglossaryentry{C}{ + name={\ensuremath{\Cn[1]}}, + description={the field of complex numbers}, + sort=C + } +\fi + + % The space of real symmetric n-by-n matrices. \newcommand*{\Sn}[1][n]{ \mathcal{S}\if\detokenize{#1}\detokenize{1}{}\else^{#1}\fi } +\ifdefined\newglossaryentry + \newglossaryentry{Sn}{ + name={\ensuremath{\Sn}}, + description={the set of $n$-by-$n$ real symmetric matrices}, + sort=Sn + } +\fi + % The space of complex Hermitian n-by-n matrices. \newcommand*{\Hn}[1][n]{ \mathcal{H}\if\detokenize{#1}\detokenize{1}{}\else^{#1}\fi } +\ifdefined\newglossaryentry + \newglossaryentry{Hn}{ + name={\ensuremath{\Hn}}, + description={the set of $n$-by-$n$ complex Hermitian matrices}, + sort=Hn + } +\fi + % % Basic set operations %