%% This package formats student papers for %% Harvard Math 126, Fall 1998 %% %% by Nils Barth %% nbarth@fas.harvard.edu %% %% Please excuse the following comments; .dtx would be better, %% but I'd have to learn it. %% For more information on writing class files in LaTeX, see %% http://www.tifr.res.in/~space/LaTeX/guides/clsguide.html %% First, say which version of TeX to use. \NeedsTeXFormat{LaTeX2e}[1994/06/01] %% This is a class file, so give its name and description \ProvidesClass{126-pap}[1998/12/16 Harvard Math 126 -- Student Papers] % -------------------------------------------------------------------- %%% Options %% We begin by declaring the options. %% For instance, if someone wants to use Black Board Bold %% in their paper, they can write: %% \documentclass[bbb]{126-pap} % Euler -- to use Euler math font %%%%% Note: fix this so that it uses Concrete Roman %%%%% for running text. \DeclareOption{euler}{\AtEndOfClass{\RequirePackage{euler}}} % Black Board Bold \DeclareOption{bbb}{\renewcommand{\mathbf}{\mathbb}} % -------------------------------------------------------------------- %%% Pass options to amsart, and load amsart %% Here we pass the remaining options to AMS article, %% the class on which 126-pap is based (so I don't need %% to reinvent the wheel and drive train etc. when I only %% want to change the dashboard layout, to slaughter a metaphor) \DeclareOption*{\PassOptionsToClass{\CurrentOption}{amsart}} \ProcessOptions \LoadClass[oneside]{amsart} %% This is so that people can write \day31\month2\year1967 %% and have the date displayed as the country desires, %% rather than February 31, 1967 or 31 February 1967 or whatever. \date{\today} %% This automatically uses 126-srcs.bib as the bibliography, %% and formats it as amsplain \AtEndDocument{\bibliographystyle{amsplain}% \bibliography{126-srcs}} %% These are included for: %% float -- nice floating figures, like character tables %% amssymb -- a few weird symbols, like \nexists, \nsubseteq, etc. %% amsthm -- Theorems, lemmata, etc. \RequirePackage{float, amssymb, amsthm} %% These are my own formating for character tables. %%% Character tables \floatstyle{plain} \newfloat{CharTable}{ht}{aux} \floatname{CharTable}{\textsc{Character Table}} %% This was in case people had lots of character tables and %% wanted to number them within each section. % Note: Add the following if you want numbering within. % \numberwithin{CharTable}{section} % \numberwithin{equation}{section} %% To get good spacing in a table, you should write: %% $\SP 1$ \\ $-1$ \\ etc. (to get quasi right-justification) %% or %% $1$ \\ $-1\SP$ \\ etc. (to get centering) %% (okay, so I'm _really_ picky). % Use \SP to get correct spacing for negative signs \newlength{\negativesign} \settowidth{\negativesign}{$-$} \newcommand{\SP}{\hspace{\negativesign}} %% This sets operators as if they were \sin, \log, etc. %%% Operators \DeclareMathOperator{\Hom}{Hom} % Homomorphisms \DeclareMathOperator{\Aut}{Aut} % Automorphisms \DeclareMathOperator{\End}{End} % Endomorphisms \DeclareMathOperator{\Res}{Res} % Restriction \DeclareMathOperator{\Ind}{Ind} % Induced \DeclareMathOperator{\tr}{tr} % Trace \DeclareMathOperator{\sgn}{sgn} % Sign %% This is so that all normal subgroups are set the same way % Normal subgroup \newcommand{\normsub}{\vartriangleleft} \newcommand{\subnorm}{\vartriangleright} %% Normally you might use | or \vert for divides -- but %% TeX doesn't know a priori that this is a binary operator, %% so certain things go wrong. For instance, if you write %% a|\dots|b, the \dots will be \ldots, not \dotsb. This fixes that. %% Also, you really should say \divides when you mean \divides, not %% |a| or f|_{x=0} etc. (horrors!) % Divides \DeclareMathSymbol{\divides}{\mathbin}{symbols}{"6A} %% This is so you can write \set{a, b, c} instead of %% \left\{a, b, c\right\} and so forth -- it's _much_ %% nicer and easier to read, and even pretty standard. %%% Delimiters \newcommand{\set}[1]{\left\{#1\right\}} \newcommand{\seq}[1]{\left<#1\right>} \newcommand{\abs}[1]{\left\lvert#1\right\rvert} \newcommand{\norm}[1]{\left\lVert#1\right\rVert} %% AMS-LaTeX includes bmatrix, pmatrix, etc. environments, %% but doesn't do the same for small matricies. I fix that here. %%% Small matricies \newenvironment{psmallmatrix} {\left(\begin{smallmatrix}} {\end{smallmatrix}\right)} \newenvironment{bsmallmatrix} {\left[\begin{smallmatrix}} {\end{smallmatrix}\right]} \newenvironment{Bsmallmatrix} {\left\{\begin{smallmatrix}} {\end{smallmatrix}\right\}} \newenvironment{vsmallmatrix} {\left\lvert\begin{smallmatrix}} {\end{smallmatrix}\right\rvert} \newenvironment{Vsmallmatrix} {\left\lVert\begin{smallmatrix}} {\end{smallmatrix}\right\rVert} %% This allows you to write \begin{thm}...\end{thm} %% to set theorems etc., and numbers them as %% Lemma 2.1, Theorem 2.2, Corollary 2.3, etc. %%% Theorems % Theorems and related are numbered together, within section \theoremstyle{plain} \newtheorem{thm}{Theorem}[section] \newtheorem{lem}[thm]{Lemma} \newtheorem{prop}[thm]{Proposition} \newtheorem{cor}[thm]{Corollary} %% Definitions aren't usually numbered (much as I like to number them). \theoremstyle{definition} \newtheorem*{defn}{Definition} %% AMS-LaTeX comes with \eqref as a nice way of referencing equations; %% this does the same for theorems etc. % Referencing \newcommand{\thmref}[1]{Theorem~\ref{#1}} \newcommand{\lemref}[1]{Lemma~\ref{#1}} \newcommand{\propref}[1]{Proposition~\ref{#1}} \newcommand{\corref}[1]{Corollary~\ref{#1}} %% This is just a list of definitions, so you can write %% \fA for a Fraktur A etc. I don't use the usual \C, \R etc. %% for bold C, bold R etc. because of conflicts for O, P, S %% (and maybe some others). %%% Alphabets %%% Bold Face \newcommand{\bA}{{\mathbf A}} \newcommand{\bB}{{\mathbf B}} \newcommand{\bC}{{\mathbf C}} \newcommand{\bD}{{\mathbf D}} \newcommand{\bE}{{\mathbf E}} \newcommand{\bF}{{\mathbf F}} \newcommand{\bG}{{\mathbf G}} \newcommand{\bH}{{\mathbf H}} \newcommand{\bI}{{\mathbf I}} \newcommand{\bJ}{{\mathbf J}} \newcommand{\bK}{{\mathbf K}} \newcommand{\bL}{{\mathbf L}} \newcommand{\bM}{{\mathbf M}} \newcommand{\bN}{{\mathbf N}} \newcommand{\bO}{{\mathbf O}} \newcommand{\bP}{{\mathbf P}} \newcommand{\bQ}{{\mathbf Q}} \newcommand{\bR}{{\mathbf R}} \newcommand{\bS}{{\mathbf S}} \newcommand{\bT}{{\mathbf T}} \newcommand{\bU}{{\mathbf U}} \newcommand{\bV}{{\mathbf V}} \newcommand{\bW}{{\mathbf W}} \newcommand{\bX}{{\mathbf X}} \newcommand{\bY}{{\mathbf Y}} \newcommand{\bZ}{{\mathbf Z}} %%% Caligraphic \newcommand{\cA}{{\mathcal A}} \newcommand{\cB}{{\mathcal B}} \newcommand{\cC}{{\mathcal C}} \newcommand{\cD}{{\mathcal D}} \newcommand{\cE}{{\mathcal E}} \newcommand{\cF}{{\mathcal F}} \newcommand{\cG}{{\mathcal G}} \newcommand{\cH}{{\mathcal H}} \newcommand{\cI}{{\mathcal I}} \newcommand{\cJ}{{\mathcal J}} \newcommand{\cK}{{\mathcal K}} \newcommand{\cL}{{\mathcal L}} \newcommand{\cM}{{\mathcal M}} \newcommand{\cN}{{\mathcal N}} \newcommand{\cO}{{\mathcal O}} \newcommand{\cP}{{\mathcal P}} \newcommand{\cQ}{{\mathcal Q}} \newcommand{\cR}{{\mathcal R}} \newcommand{\cS}{{\mathcal S}} \newcommand{\cT}{{\mathcal T}} \newcommand{\cU}{{\mathcal U}} \newcommand{\cV}{{\mathcal V}} \newcommand{\cW}{{\mathcal W}} \newcommand{\cX}{{\mathcal X}} \newcommand{\cY}{{\mathcal Y}} \newcommand{\cZ}{{\mathcal Z}} %%% Fraktur \newcommand{\fA}{{\mathfrak A}} \newcommand{\fB}{{\mathfrak B}} \newcommand{\fC}{{\mathfrak C}} \newcommand{\fD}{{\mathfrak D}} \newcommand{\fE}{{\mathfrak E}} \newcommand{\fF}{{\mathfrak F}} \newcommand{\fG}{{\mathfrak G}} \newcommand{\fH}{{\mathfrak H}} \newcommand{\fI}{{\mathfrak I}} \newcommand{\fJ}{{\mathfrak J}} \newcommand{\fK}{{\mathfrak K}} \newcommand{\fL}{{\mathfrak L}} \newcommand{\fM}{{\mathfrak M}} \newcommand{\fN}{{\mathfrak N}} \newcommand{\fO}{{\mathfrak O}} \newcommand{\fP}{{\mathfrak P}} \newcommand{\fQ}{{\mathfrak Q}} \newcommand{\fR}{{\mathfrak R}} \newcommand{\fS}{{\mathfrak S}} \newcommand{\fT}{{\mathfrak T}} \newcommand{\fU}{{\mathfrak U}} \newcommand{\fV}{{\mathfrak V}} \newcommand{\fW}{{\mathfrak W}} \newcommand{\fX}{{\mathfrak X}} \newcommand{\fY}{{\mathfrak Y}} \newcommand{\fZ}{{\mathfrak Z}}