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1 | \newcommand{\cA}{\mathcal{A}} | |
2 | \newcommand{\cB}{\mathcal{B}} | |
3 | \newcommand{\cC}{\mathcal{C}} | |
4 | \newcommand{\cD}{\mathcal{D}} | |
5 | \newcommand{\cE}{\mathcal{E}} | |
6 | \newcommand{\cF}{\mathcal{F}} | |
7 | \newcommand{\cG}{\mathcal{G}} | |
8 | \newcommand{\cH}{\mathcal{H}} | |
9 | \newcommand{\cI}{\mathcal{I}} | |
10 | \newcommand{\cJ}{\mathcal{J}} | |
11 | \newcommand{\cK}{\mathcal{K}} | |
12 | \newcommand{\cL}{\mathcal{L}} | |
13 | \newcommand{\cM}{\mathcal{M}} | |
14 | \newcommand{\cN}{\mathcal{N}} | |
15 | \newcommand{\cO}{\mathcal{O}} | |
16 | \newcommand{\cP}{\mathcal{P}} | |
17 | \newcommand{\cQ}{\mathcal{Q}} | |
18 | \newcommand{\cR}{\mathcal{R}} | |
19 | \newcommand{\cS}{\mathcal{S}} | |
20 | \newcommand{\cT}{\mathcal{T}} | |
21 | \newcommand{\cU}{\mathcal{U}} | |
22 | \newcommand{\cV}{\mathcal{V}} | |
23 | \newcommand{\cW}{\mathcal{W}} | |
24 | \newcommand{\cX}{\mathcal{X}} | |
25 | \newcommand{\cY}{\mathcal{Y}} | |
26 | \newcommand{\cZ}{\mathcal{Z}} | |
27 | ||
28 | ||
29 | \newcommand{\A}{\mathbb{A}} | |
30 | \newcommand{\B}{\mathbb{B}} | |
31 | \newcommand{\C}{\mathbb{C}} | |
32 | \newcommand{\D}{\mathbb{D}} | |
33 | \newcommand{\E}{\mathbb{E}} | |
34 | \newcommand{\F}{\mathbb{F}} | |
35 | \newcommand{\G}{\mathbb{G}} | |
36 | \renewcommand{\H}{\mathbb{H}} % old \H{x} is an x with a weird umlaut in text mode | |
37 | \newcommand{\I}{\mathbb{I}} | |
38 | \newcommand{\J}{\mathbb{J}} | |
39 | \newcommand{\K}{\mathbb{K}} | |
40 | \renewcommand{\L}{\mathbb{L}} | |
41 | \newcommand{\M}{\mathbb{M}} | |
42 | \newcommand{\N}{\mathbb{N}} | |
43 | \renewcommand{\O}{\mathbb{O}} | |
44 | \renewcommand{\P}{\mathbb{P}} | |
45 | \newcommand{\Q}{\mathbb{Q}} | |
46 | \newcommand{\R}{\mathbb{R}} | |
47 | \renewcommand{\S}{\mathbb{S}} | |
48 | \newcommand{\T}{\mathbb{T}} | |
49 | \newcommand{\U}{\mathbb{U}} | |
50 | \newcommand{\V}{\mathbb{V}} | |
51 | \newcommand{\W}{\mathbb{W}} | |
52 | \newcommand{\X}{\mathbb{X}} | |
53 | \newcommand{\Y}{\mathbb{Y}} | |
54 | \newcommand{\Z}{\mathbb{Z}} | |
55 | ||
56 | ||
57 | \newcommand{\sA}{\mathsf{A}} | |
58 | \newcommand{\sB}{\mathsf{B}} | |
59 | \newcommand{\sC}{\mathsf{C}} | |
60 | \newcommand{\sD}{\mathsf{D}} | |
61 | \newcommand{\sE}{\mathsf{E}} | |
62 | \newcommand{\sF}{\mathsf{F}} | |
63 | \newcommand{\sG}{\mathsf{G}} | |
64 | \newcommand{\sH}{\mathsf{H}} | |
65 | \newcommand{\sI}{\mathsf{I}} | |
66 | \newcommand{\sJ}{\mathsf{J}} | |
67 | \newcommand{\sK}{\mathsf{K}} | |
68 | \newcommand{\sL}{\mathsf{L}} | |
69 | \newcommand{\sM}{\mathsf{M}} | |
70 | \newcommand{\sN}{\mathsf{N}} | |
71 | \newcommand{\sO}{\mathsf{O}} | |
72 | \newcommand{\sP}{\mathsf{P}} | |
73 | \newcommand{\sQ}{\mathsf{Q}} | |
74 | \newcommand{\sR}{\mathsf{R}} | |
75 | \newcommand{\sS}{\mathsf{S}} | |
76 | \newcommand{\sT}{\mathsf{T}} | |
77 | \newcommand{\sU}{\mathsf{U}} | |
78 | \newcommand{\sV}{\mathsf{V}} | |
79 | \newcommand{\sW}{\mathsf{W}} | |
80 | \newcommand{\sX}{\mathsf{X}} | |
81 | \newcommand{\sY}{\mathsf{Y}} | |
82 | \newcommand{\sZ}{\mathsf{Z}} | |
83 | ||
84 | ||
85 | ||
86 | ||
87 | \newtheoremstyle{myplain} {10pt}{10pt}{\itshape}{}{\scshape}{.}{.5em}{} | |
88 | \newtheoremstyle{mydefinition} {10pt}{10pt}{}{}{\scshape}{.}{.5em}{} | |
89 | \newtheoremstyle{myremark} {10pt}{10pt}{}{}{\scshape}{.}{.5em}{} | |
90 | ||
91 | - | \renewcommand{\qedsymbol}{\ensuremath{\blacksquare}} |
91 | + | \renewcommand{\qedsymbol}{$\blacksquare$} |
92 | ||
93 | \newcounter{lecture} | |
94 | \theoremstyle{myplain} | |
95 | \newtheorem{thm}{Theorem}[lecture] | |
96 | \newtheorem{lem} [thm]{Lemma} | |
97 | \newtheorem{pro} [thm]{Proposition} | |
98 | \newtheorem{cor} [thm]{Corollary} | |
99 | \newtheorem{claim} [thm]{Claim} | |
100 | \newtheorem{fact} [thm]{Fact} | |
101 | ||
102 | - | s\theoremstyle{mydefinition} |
102 | + | \theoremstyle{mydefinition} |
103 | \newtheorem{defn} [thm]{Definition} | |
104 | \newtheorem{eg} [thm]{Example} | |
105 | \newtheorem{assumption} [thm]{Assumption} | |
106 | \newtheorem{openproblem} [thm]{Open Problem} | |
107 | \newtheorem{problem} [thm]{Problem} | |
108 | ||
109 | \theoremstyle{myremark} | |
110 | \newtheorem{remark} [thm]{Remark} | |
111 | \newtheorem{conjecture} [thm]{Conjecture} | |
112 | ||
113 | \numberwithin{equation} {lecture} | |
114 | \numberwithin{figure} {lecture} | |
115 | \numberwithin{table} {lecture} | |
116 | ||
117 | \renewcommand{\fnum@figure}{\textsc{Figure~\thefigure}} | |
118 | \renewcommand{\fnum@table}{\textsc{Table~\thetable}} | |
119 | ||
120 | \renewcommand{\thesection}{\thelecture.\arabic{section}} | |
121 | \renewcommand{\thepage}{\thelecture-\arabic{page}} | |
122 | ||
123 | ||
124 | \newcommand{\makeheader}[4]{ | |
125 | \setcounter{lecture}{#3} | |
126 | \noindent | |
127 | \parbox{8cm}{ | |
128 | Institute of Mathematical Sciences\\ | |
129 | Thematic Summer Program on Finite Fields\\ | |
130 | \rule{0mm}{6mm}% | |
131 | {\sc Instructor:} #1\\ | |
132 | {\sc Scribe:} Kannappan Sampath\\ | |
133 | {\sc Date:} #2 | |
134 | } | |
135 | \hfill | |
136 | \begin{tabular}{c@{}} | |
137 | {\bf\Large LECTURE}\\ | |
138 | \rule{0mm}{17mm}\scalebox{6.6}{\bf\thelecture} | |
139 | \end{tabular} | |
140 | ||
141 | \vspace{2.5cm} | |
142 | \begin{center} | |
143 | {\LARGE \sc #4} | |
144 | \end{center} | |
145 | \vspace{1cm} | |
146 | \thispagestyle{empty} | |
147 | } |