Sharedwww / rank4 / header-fr.texOpen in CoCalc
Author: William A. Stein
1
%Header LaTeX page
2
%Has the following short-hands:
3
% intersect, union, results, if and only if, modulo, angle
4
% all usual sets
5
%
6
% page settings
7
8
\usepackage{latexsym, amsfonts, graphicx, amsthm}
9
10
11
12
%\setlength{\textheight}{8.75in} \setlength{\textwidth}{6.5in}
13
%\setlength{\topmargin}{0.0in} \setlength{\headheight}{0.0in}
14
%\setlength{\headsep}{0.0in} \setlength{\leftmargin}{0.0in}
15
%\setlength{\oddsidemargin}{0.0in}
16
\hoffset=-0.05\textwidth
17
\textwidth=1.1\textwidth
18
\voffset=-0.05\textheight
19
\textheight=1.1\textheight
20
21
%Enumeration
22
\def\be{\begin{enumerate}}
23
\def\ee{\end{enumerate}}
24
\def\ii{\item}
25
\def\bi{\begin{itemize}}
26
\def\ei{\end{itemize}}
27
28
%Equations and Formatting
29
\def\beqa{\begin{eqnarray*}}
30
\def\eeqa{\end{eqnarray*}}
31
\def\dsp{\displaystyle}
32
33
\newcommand{\rez}{\Longrightarrow}
34
\newcommand{\N}{\mathbf{N}}
35
\newcommand{\Z}{\mathbf{Z}}
36
\newcommand{\Q}{\mathbf{Q}}
37
\newcommand{\R}{\mathbf{R}}
38
\newcommand{\C}{\mathcal{C}}
39
\newcommand{\CC}{\mathbf{C}}
40
\newcommand{\m}{{\textmd{mod}\,\,}}
41
\renewcommand{\a}{\angle}
42
\renewcommand{\d}{\Delta}
43
\renewcommand{\to}{\longrightarrow}
44
\renewcommand{\v}{\emptyset}
45
\renewcommand{\u}{$\cup$}
46
\newcommand{\intp}[1]{\lfloor {#1} \rfloor}
47
\newcommand{\binom}[2]{{{#1} \choose {#2}}}
48
\newcommand{\dg}{^{\circ}}
49
50
\newcommand{\vv}[1]{{#1}_1,{#1}_2,\ldots ,{#1}_n}
51
\newcommand{\vvi}[1]{{#1}_1,{#1}_2,\ldots}
52
\newcommand{\vvn}[2]{{#1}_1,{#1}_2,\ldots ,{#1}_{#2}}
53
54
\newcommand{\bea}{\begin{eqnarray*}}
55
\newcommand{\eea}{\end{eqnarray*}}
56
\newcommand{\bean}{\begin{eqnarray}}
57
\newcommand{\eean}{\end{eqnarray}}
58
59
\newcommand{\Gal}{\textrm{Gal}}
60
\newcommand{\GL}{\textrm{GL}}
61
\newcommand{\SL}{\textrm{SL}}
62
63
\def\divides{\ |\ }
64
\def\dvd{\divides}
65
\def\cis{\hbox{cis }}
66
\def\ndvd{\,\not|\ }
67
\def\natchp{{\bf N'}}
68
\def\proof{\par{\bf Proof: }}
69
\def\soln{\par{\bf Solution: }}
70
\def\hint{{\bf Hint: }}
71
\def\endpf{\hfill \vrule depth-1pt height7pt width6pt}
72
\font\ttl=cmr10 scaled \magstep 3
73
\theoremstyle{plain}
74
\newtheorem{theorem}{Theorem}[section]
75
\newtheorem{proposition}[theorem]{Proposition}
76
\newtheorem{conjecture}[theorem]{Conjecture}
77
\newtheorem{lemma}[theorem]{Lemma}
78
\newtheorem{corollary}[theorem]{Corollary}
79
80
\theoremstyle{definition}
81
\newtheorem{example}[theorem]{Example}
82
\newtheorem{definition}[theorem]{Definition}
83
\newtheorem{remark}[theorem]{Remark}
84
\newtheorem{thmfr}[theorem]{Th\'{e}or\`{e}me}
85
86
87
\renewcommand{\iff}{\Longleftrightarrow}
88