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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}}
  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}
  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. }
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