yomcat.sty

   1 % Mathematical Fonts
   2 \newcommand{\mbb}[1]{\ensuremath{\mathbb{#1}}} % Blackboard Bold (Capitals only)
   3 \newcommand{\mbc}[1]{\textbf{\ensuremath{\mathcal{#1}}}} % Curly Capitals
   4 \newcommand{\mf}[1]{\ensuremath{\mathfrak{#1}}} % Gothic letters
   5 \newcommand{\scr}[1]{\ensuremath{\mathscr{#1}}} % Cursive Capitals
   6 \newcommand{\mbf}[1]{\textbf{#1}} % Bold text
   7
   8 % Mathematical Shorthand
   9 \newcommand{\mz}[1]{\ensuremath{\mbb{Z}_{#1}}} % Finite fields (requires \mbb)
  10 \newcommand{\mbbN}{\ensuremath{\mbb{Z}^{+} \cup \{0\}}} % Positive Integers (requires \mbb)
  11 \newcommand{\ol}[1]{\ensuremath{\overline{#1}}} % Overline
  12 \newcommand{\ideal}[1]{\ensuremath{\langle#1\rangle}} % Ideal
  13 \newcommand{\set}[1]{\ensuremath{\lbrace#1\rbrace}} % Set
  14 \newcommand{\ltr}{\ensuremath{(\Rightarrow)}} % --> for enumerate
  15 \newcommand{\rtl}{\ensuremath{(\Leftarrow)}} % <-- for enumerate
  16 \newcommand{\pend}{\hspace*{\fill}{\ensuremath{\square}}} % End of Proof
  17 \newcommand{\vect}[2]{\ensuremath{{#1}_1, \dots, {#1}_{#2}}} % A list
  18
  19 % General Shorter Commands
  20 \newcommand{\oast}{\ensuremath{\circledast}} % Circled *
  21 \newcommand{\define}{\ensuremath{\stackrel{\text{\tiny def}}{=}}} % =^def
  22 \newcommand{\IFF}{\textrm{ iff }} % iff inside $s
  23 \newcommand{\es}{\ensuremath{\varnothing}} % Empty Set
  24 \newcommand{\tuple}[1]{\ideal{#1}} % An angled tuple (requires \ideal)
  25 \newcommand{\sm}{\ensuremath{\backslash}} % Set subtraction
  26
  27 % Matroids
  28 \newcommand{\cl}{\operatorname{cl}} % Closure
  29 \newcommand{\delete}{\sm} % Deletion of element
  30 \newcommand{\contract}{/} % Contraction of element
  31
  32 % Algebraic Geometry
  33 \newcommand{\V}{\mbf{V}} % Variety (requires \mbf)
  34 \newcommand{\I}{\mbf{I}} % Ideal (requires \mbf)
  35 \newcommand{\lt}{\textsc{lt}} % Leading Term
  36 \newcommand{\lp}{\textsc{lp}} % Leading Polynomial
  37 \newcommand{\mcb}[1]{\multicolumn{1}{|l}{#1}} % For use with long division
  38 \newcommand{\rto}[1]{\stackrel{#1}{\longrightarrow}_+} % End of simplification
  39
  40 % Logic
  41 \newcommand{\liff}{\ensuremath{\leftrightarrow}} % Logical iff
  42
  43 % Algebraic Number Theory
  44 \newcommand{\extend}{\ensuremath{\subset}} % Field Extensions
  45
  46 % Category Theory
  47 \newcommand{\Hom}{{\rm Hom}} % Hom
  48 \newcommand{\carr}[1]{\ensuremath{\mbc{#1}_{\rm arr}}} % Arrows (requires \mbc)
  49 \newcommand{\cobj}[1]{\ensuremath{\mbc{#1}_{\rm obj}}} % Objects (requires \mbc)
  50 \newcommand{\id}[1]{\ensuremath{{\rm id}_{#1}}} % Identity
  51
  52 % Misc
  53 \newcommand{\qs}{\subsection*{Questions}} % Questions Heading
  54 \newcommand{\as}{\subsection*{Solutions}} % Solutions Heading
  55 \newcommand{\cat}[1]{\textbf{#1}} % Legacy bold text - use \mbf