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lulu.sty
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\NeedsTeXFormat{LaTeX2e}% LaTeX 2.09 can't be used (nor non-LaTeX)
[1994/12/01]% LaTeX date must be December 1994 or later
\ProvidesPackage{lulu}[2015/12/17 v0.75]
\ProcessOptions\relax
\usepackage{stix}
\usepackage[T1]{fontenc}
\usepackage{gillius}
\usepackage{ccicons}
%\gilliuscondensed
%\usepackage{microtype}
\input{preamble.tex}
\usepackage{imakeidx}
\makeindex[intoc]
\renewcommand{\dfn}[1]{\textbf{#1}\index{#1}}
\usepackage[framemethod=TikZ]{mdframed}
%% Size of the page
\usepackage[margin=.5in, includehead, includefoot, hmargin={.8in,.5in}, paperwidth=8.5in, paperheight=8.5in]{geometry}
%\usepackage[margin=.5in, includehead, includefoot, hmargin={.8in,.5in}, paperwidth=11in, paperheight=8.5in]{geometry}
% Store usual maketitle as othermaketitle
\let\othermaketitle\maketitle
\makeatletter
% % Redefine maketitle to give course packet title page and toc.
\renewcommand{\maketitle}{ %
\pagestyle{empty}
\onecolumn
\begin{flushright}
\begin{tikzpicture}[opacity=1]
\node at (1,0) {\scalebox{4}{\Huge\textsf{\textbf{\textcolor{black}{calculus}}}}};
\node at (8,1.19) {\scalebox{10}{\Huge\textsf{\textbf{\textcolor{gray}{1}}}}}; %% Aligned with subtitle
%\node at (8,1.85) {\scalebox{10}{\Huge\textsf{\textbf{\textcolor{gray}{1}}}}}; %% Aligned with title
\node at (1.1,-1.6) {\resizebox{4.8in}{.2in}{\Huge\textsf{\textcolor{gray}
{with free online interactive materials}
}}};
%\draw[yellow] (-9,-1.2)--(9,-1.2); %guide line
\end{tikzpicture}\hspace*{.1in}
\vspace{1cm}
\begin{tikzpicture}[scale=.9,opacity =1,declare function = {f(\x) = sin(deg(\x))/\x;}]]
\begin{axis}[
xmin=-16,
xmax=16,
ymin=-2,
ymax=2.5,
width=8.2in,
height=4in,
axis lines=middle, %xlabel=$x$, ylabel=$y$,
every axis y label/.style={gray,at=(current axis.above origin),anchor=south},
every axis x label/.style={gray,at=(current axis.right of origin),anchor=west},
ticks=none,
axis line style={gray},
]
\addplot [draw=gray,pattern=north west lines, pattern color=gray] plot coordinates %% last rect
{({-1},{1})
({0},{1})} \closedcycle;
\foreach \rectnumber in {1,2,3,...,15} %% left hand rect
{
\addplot [draw=gray,%fill=gray!50!scarlet,
pattern=north west lines, pattern color=gray] plot coordinates
{({(\rectnumber - 17)},{f(\rectnumber-16)})
({1+(\rectnumber) -17 },{f(\rectnumber -16) })} \closedcycle;
};
%% Differential rectangles
\draw[gray,thin,dashed] (axis cs: 0, 0) rectangle (axis cs:1., 1.);
\draw[gray,thin,dashed] (axis cs: 1., 1.) rectangle (axis cs:2., 1.84147);
\draw[gray,thin,dashed] (axis cs: 2., 1.84147) rectangle (axis cs: 3., 2.29612);
\draw[gray,thin,dashed] (axis cs: 3., 2.29612) rectangle (axis cs: 4., 2.34316);
\draw[gray,thin,dashed] (axis cs: 4., 2.34316) rectangle (axis cs: 5.,2.15396);
\draw[gray,thin,dashed] (axis cs: 5., 2.15396) rectangle (axis cs: 6., 1.96217);
\draw[gray,thin,dashed] (axis cs: 6., 1.96217) rectangle (axis cs: 7., 1.9156);
\draw[gray,thin,dashed] (axis cs: 7., 1.9156) rectangle (axis cs: 8., 2.00946);
\draw[gray,thin,dashed] (axis cs: 8., 2.00946) rectangle (axis cs: 9.,2.13313);
\draw[gray,thin,dashed] (axis cs: 9.,2.13313) rectangle (axis cs: 10., 2.17892);
\draw[gray,thin,dashed] (axis cs: 10., 2.17892) rectangle (axis cs: 11., 2.12452);
\draw[gray,thin,dashed] (axis cs: 11., 2.12452) rectangle (axis cs:12., 2.03361);
\draw[gray,thin,dashed] (axis cs:12., 2.03361) rectangle (axis cs:13.,1.9889);
\draw[gray,thin,dashed] (axis cs:13.,1.9889) rectangle (axis cs: 14., 2.02122);
\draw[gray,thin,dashed] (axis cs: 14., 2.02122) rectangle (axis cs: 15., 2.09197);
\draw[gray,thin,dashed] (axis cs: 15., 2.09197) rectangle (axis cs: 16., 2.13533);
%% right end points
\addplot[gray,only marks,mark=*] coordinates {
(-15., 0.0433525) (-14., 0.0707577)
(-13., 0.0323205) (-12., -0.0447144)
(-11., -0.0909082) (-10., -0.0544021)
(-9., 0.0457909) (-8., 0.12367) (-7.,0.0938552)
(-6., -0.0465692) (-5., -0.191785) (-4., -0.189201)
(-3., 0.04704) (-2., 0.454649) (-1., 0.841471) (0., 1.)
};
%% Euler
\addplot[gray,thick,mark=*] coordinates {
(0, 0) (1., 1.) (2., 1.84147) (3., 2.29612) (4., 2.34316)
(5.,2.15396) (6., 1.96217) (7., 1.9156) (8., 2.00946)
(9.,2.13313) (10., 2.17892) (11., 2.12452) (12., 2.03361)
(13.,1.9889) (14., 2.02122) (15., 2.09197) (16., 2.13533)
};
%% Sinc
\addplot [ultra thick,dashed, gray, smooth,samples=100,domain=-16:16] {f(x)}; %% sinc
%% Sin Integral
\addplot[gray,ultra thick] coordinates { %% sine integral
((-16., -1.6313) (-15.9, -1.6328) (-15.8, -1.6337) (-15.7,
-1.63396) (-15.6, -1.63359) (-15.5, -1.63258) (-15.4, -1.63093)
(-15.3, -1.62865) (-15.2, -1.62575) (-15.1, -1.62226) (-15.,
-1.61819) (-14.9, -1.6136) (-14.8, -1.60851) (-14.7, -1.60296)
(-14.6, -1.59702) (-14.5, -1.59072) (-14.4, -1.58414) (-14.3,
-1.57733) (-14.2, -1.57036) (-14.1, -1.5633) (-14., -1.55621)
(-13.9, -1.54917) (-13.8, -1.54225) (-13.7, -1.53552) (-13.6,
-1.52905) (-13.5, -1.52291) (-13.4, -1.51716) (-13.3, -1.51188)
(-13.2, -1.50711) (-13.1, -1.50292) (-13., -1.49936) (-12.9,
-1.49647) (-12.8, -1.4943) (-12.7, -1.49287) (-12.6, -1.49221)
(-12.5, -1.49234) (-12.4, -1.49327) (-12.3, -1.49501) (-12.2,
-1.49755) (-12.1, -1.50088) (-12., -1.50497) (-11.9, -1.50981)
(-11.8, -1.51535) (-11.7, -1.52155) (-11.6, -1.52835) (-11.5,
-1.53571) (-11.4, -1.54356) (-11.3, -1.55182) (-11.2, -1.56042)
(-11.1, -1.56927) (-11., -1.57831) (-10.9, -1.58743) (-10.8,
-1.59654) (-10.7, -1.60556) (-10.6, -1.61439) (-10.5, -1.62294)
(-10.4, -1.63112) (-10.3, -1.63883) (-10.2, -1.646) (-10.1,
-1.65253) (-10., -1.65835) (-9.9, -1.66338) (-9.8, -1.66757)
(-9.7, -1.67084) (-9.6, -1.67316) (-9.5, -1.67446) (-9.4,
-1.67473) (-9.3, -1.67393) (-9.2, -1.67205) (-9.1, -1.66908)
(-9., -1.66504) (-8.9, -1.65993) (-8.8, -1.65379) (-8.7,
-1.64665) (-8.6, -1.63857) (-8.5, -1.6296) (-8.4, -1.61981)
(-8.3, -1.60928) (-8.2, -1.5981) (-8.1, -1.58637) (-8., -1.57419)
(-7.9, -1.56167) (-7.8, -1.54894) (-7.7, -1.53611) (-7.6,
-1.52331) (-7.5, -1.51068) (-7.4, -1.49834) (-7.3, -1.48644)
(-7.2, -1.47509) (-7.1, -1.46443) (-7., -1.4546) (-6.9, -1.4457)
(-6.8, -1.43787) (-6.7, -1.43121) (-6.6, -1.42582) (-6.5,
-1.42179) (-6.4, -1.41922) (-6.3, -1.41817) (-6.2, -1.41871)
(-6.1, -1.42087) (-6., -1.42469) (-5.9, -1.43018) (-5.8,
-1.43736) (-5.7, -1.4462) (-5.6, -1.45667) (-5.5, -1.46872)
(-5.4, -1.4823) (-5.3, -1.49732) (-5.2, -1.51367) (-5.1,
-1.53125) (-5., -1.54993) (-4.9, -1.56956) (-4.8, -1.58998)
(-4.7, -1.61101) (-4.6, -1.63246) (-4.5, -1.65414) (-4.4,
-1.67583) (-4.3, -1.69732) (-4.2, -1.71837) (-4.1, -1.73874)
(-4., -1.7582) (-3.9, -1.7765) (-3.8, -1.79339) (-3.7, -1.80862)
(-3.6, -1.82195) (-3.5, -1.83313) (-3.4, -1.84191) (-3.3,
-1.84808) (-3.2, -1.8514) (-3.1, -1.85166) (-3., -1.84865) (-2.9,
-1.84219) (-2.8, -1.8321) (-2.7, -1.81821) (-2.6, -1.80039)
(-2.5, -1.77852) (-2.4, -1.75249) (-2.3, -1.72221) (-2.2,
-1.68762) (-2.1, -1.6487) (-2., -1.60541) (-1.9, -1.55778) (-1.8,
-1.50582) (-1.7, -1.44959) (-1.6, -1.38918) (-1.5, -1.32468)
(-1.4, -1.25623) (-1.3, -1.18396) (-1.2, -1.10805) (-1.1,
-1.02869) (-1., -0.946083) (-0.9, -0.860471) (-0.8, -0.772096)
(-0.7, -0.681222) (-0.6, -0.588129) (-0.5, -0.493107) (-0.4,
-0.396461) (-0.3, -0.298504) (-0.2, -0.199556) (-0.1, -0.0999445)
(0., 0.) (0.1, 0.0999445) (0.2, 0.199556) (0.3, 0.298504) (0.4,
0.396461) (0.5, 0.493107) (0.6, 0.588129) (0.7, 0.681222) (0.8,
0.772096) (0.9, 0.860471) (1., 0.946083) (1.1, 1.02869) (1.2,
1.10805) (1.3, 1.18396) (1.4, 1.25623) (1.5, 1.32468) (1.6,
1.38918) (1.7, 1.44959) (1.8, 1.50582) (1.9, 1.55778) (2.,
1.60541) (2.1, 1.6487) (2.2, 1.68762) (2.3, 1.72221) (2.4,
1.75249) (2.5, 1.77852) (2.6, 1.80039) (2.7, 1.81821) (2.8,
1.8321) (2.9, 1.84219) (3., 1.84865) (3.1, 1.85166) (3.2,
1.8514) (3.3, 1.84808) (3.4, 1.84191) (3.5, 1.83313) (3.6,
1.82195) (3.7, 1.80862) (3.8, 1.79339) (3.9, 1.7765) (4.,
1.7582) (4.1, 1.73874) (4.2, 1.71837) (4.3, 1.69732) (4.4,
1.67583) (4.5, 1.65414) (4.6, 1.63246) (4.7, 1.61101) (4.8,
1.58998) (4.9, 1.56956) (5., 1.54993) (5.1, 1.53125) (5.2,
1.51367) (5.3, 1.49732) (5.4, 1.4823) (5.5, 1.46872) (5.6,
1.45667) (5.7, 1.4462) (5.8, 1.43736) (5.9, 1.43018) (6.,
1.42469) (6.1, 1.42087) (6.2, 1.41871) (6.3, 1.41817) (6.4,
1.41922) (6.5, 1.42179) (6.6, 1.42582) (6.7, 1.43121) (6.8,
1.43787) (6.9, 1.4457) (7., 1.4546) (7.1, 1.46443) (7.2,
1.47509) (7.3, 1.48644) (7.4, 1.49834) (7.5, 1.51068) (7.6,
1.52331) (7.7, 1.53611) (7.8, 1.54894) (7.9, 1.56167) (8.,
1.57419) (8.1, 1.58637) (8.2, 1.5981) (8.3, 1.60928) (8.4,
1.61981) (8.5, 1.6296) (8.6, 1.63857) (8.7, 1.64665) (8.8,
1.65379) (8.9, 1.65993) (9., 1.66504) (9.1, 1.66908) (9.2,
1.67205) (9.3, 1.67393) (9.4, 1.67473) (9.5, 1.67446) (9.6,
1.67316) (9.7, 1.67084) (9.8, 1.66757) (9.9, 1.66338) (10.,
1.65835) (10.1, 1.65253) (10.2, 1.646) (10.3, 1.63883) (10.4,
1.63112) (10.5, 1.62294) (10.6, 1.61439) (10.7, 1.60556) (10.8,
1.59654) (10.9, 1.58743) (11., 1.57831) (11.1, 1.56927) (11.2,
1.56042) (11.3, 1.55182) (11.4, 1.54356) (11.5, 1.53571) (11.6,
1.52835) (11.7, 1.52155) (11.8, 1.51535) (11.9, 1.50981) (12.,
1.50497) (12.1, 1.50088) (12.2, 1.49755) (12.3, 1.49501) (12.4,
1.49327) (12.5, 1.49234) (12.6, 1.49221) (12.7, 1.49287) (12.8,
1.4943) (12.9, 1.49647) (13., 1.49936) (13.1, 1.50292) (13.2,
1.50711) (13.3, 1.51188) (13.4, 1.51716) (13.5, 1.52291) (13.6,
1.52905) (13.7, 1.53552) (13.8, 1.54225) (13.9, 1.54917) (14.,
1.55621) (14.1, 1.5633) (14.2, 1.57036) (14.3, 1.57733) (14.4,
1.58414) (14.5, 1.59072) (14.6, 1.59702) (14.7, 1.60296) (14.8,
1.60851) (14.9, 1.6136) (15., 1.61819) (15.1, 1.62226) (15.2,
1.62575) (15.3, 1.62865) (15.4, 1.63093) (15.5, 1.63258) (15.6,
1.63359) (15.7, 1.63396) (15.8, 1.6337) (15.9, 1.6328) (16.,
1.6313)
};
\end{axis}
\end{tikzpicture}\hspace*{.58in}
\end{flushright}
\vspace{-.4in}
\begin{flushleft}\hspace*{-.12in}
\begin{tikzpicture}
\node[anchor=west] at (0,0) {\scalebox{1}{\Huge\textsf{\ccbyncsa}}};
\node[anchor=west] at (4,-.25) {\large\textsf{developed in \textbf{XIMERA}}};
\node[anchor=east] at (7in,-.25) {\small\textsf{This document was typeset on \today.}};
\end{tikzpicture}
\end{flushleft}
\twocolumn
\clearpage
\ifnotoc\else % When notoc option is used, we do not include a table of contents. Otherwise:
\tableofcontents\clearpage % we include a table of contents in every course packet.
\clearpage
\fi
\pagestyle{main} %switch to main pagestyle, just like ximera documents.
\let\maketitle\othermaketitle % renew maketitle to usual definition.
}
\makeatother
%% Two column sep
\setlength{\columnsep}{1cm}
%\setlength{\columnseprule}{.8cm}
%\renewcommand{\columnseprulecolor}{white!20!black}
%% image environment
%%\renewenvironment{image}[1][]{\begin{center}}{\end{center}}
\let\image\relax
\let\endimage\relax
\NewEnviron{image}[1][]{% Set default and updated keys
%\begin{center}\scalebox{.5}{\BODY}\end{center}% Set contents in font \envfont
\begin{center}\resizebox{3in}{!}{\BODY}\end{center}% Set contents in font \envfont
}
%% This is the code that will allow us to redefine the title with
\makeatletter
\newcounter{sectiontitlenumber}
\setcounter{secnumdepth}{0}
\newcommand\chapterstyle{%
\def\maketitle{%
\addtocounter{titlenumber}{1}%
\addcontentsline{toc}{section}{\textbf{\thetitlenumber\quad\@title}}%
{\flushleft\small\sffamily\bfseries\@pretitle\par\vspace{-1.5em}}%
{\flushleft\LARGE\sffamily\bfseries\thetitlenumber\quad\@title \par }%
{\setcounter{problem}{0}\setcounter{sectiontitlenumber}{0}}%
\par}}
\newcommand\sectionstyle{%
\def\maketitle{%
\addtocounter{sectiontitlenumber}{1}
\addcontentsline{toc}{subsection}{\thetitlenumber.\thesectiontitlenumber\quad\@title}%
{\flushleft\small\sffamily\bfseries\@pretitle\par\vspace{-1.5em}}%
{\flushleft\Large\sffamily\bfseries\thetitlenumber.\thesectiontitlenumber\quad\@title \par}%
\par}}
%% redefine Part
\renewcommand\part{%
\if@openright
\cleardoublepage
\else
\clearpage
\fi
\thispagestyle{plain}%
\if@twocolumn
\onecolumn
\@tempswatrue
\else
\@tempswafalse
\fi
\null\vfil
\secdef\@part\@spart}
\def\@part[#1]#2{%
\ifnum \c@secnumdepth >-2\relax
\refstepcounter{part}%
\addcontentsline{toc}{part}{\thepart\hspace{1em}#1}%
\else
\addcontentsline{toc}{part}{#1}%
\fi
\markboth{}{}%
{\centering
\interlinepenalty \@M
\normalfont
\ifnum \c@secnumdepth >-2\relax
\huge\sffamily\bfseries \partname\nobreakspace\thepart
\par
\vskip 20\p@
\fi
\Huge \bfseries #2\par}%
\@endpart}
\def\@spart#1{%
{\centering
\interlinepenalty \@M
\normalfont
\Huge \bfseries #1\par}%
\@endpart}
\def\@endpart{\vfil\newpage
\if@twoside
\if@openright
\null
\thispagestyle{empty}%
\newpage
\fi
\fi
\if@tempswa
\twocolumn
\fi}
\renewcommand\section{\@startsection{paragraph}{10}{\z@}%
{-3.25ex\@plus -1ex \@minus -.2ex}%
{1.5ex \@plus .2ex}%
{\normalfont\large\sffamily\bfseries}}
\renewcommand\subsection{\@startsection{subparagraph}{10}{\z@}%
{3.25ex \@plus1ex \@minus.2ex}%
{-1em}%
{\normalfont\normalsize\sffamily\bfseries}}
% remove italics def
\let\definition\relax
\let\enddefinition\relax
\theoremstyle{definition}
\newtheorem*{definition}{Definition}
\let\theorem\relax
\let\endtheorem\relax
\let\c@theorem\relax
\theoremstyle{theorem}
\newtheorem{theorem}{Theorem}
\let\question\relax
\let\endquestion\relax
\let\c@question\relax
\theoremstyle{theorem}
\newtheorem{question}{Question}
\let\problem\relax
\let\endproblem\relax
\let\c@problem\relax
\newtheorem{problem}{Problem}
\let\warning\relax
\let\endwarning\relax
\newtheorem*{warning}{Warning}
\makeatother
%% Redefines "explanation"
\renewmdenv[
font=\upshape,
outerlinewidth=3,
topline=false,
bottomline=false,
leftline=true,
rightline=false,
leftmargin=0,
innertopmargin=0pt,
innerbottommargin=0pt,
skipbelow=\baselineskip,
linecolor=textColor!20!white,
fontcolor=textColor,
backgroundcolor=background
]{explanation}%
%% Compress dialogue
\renewenvironment{dialogue}{%
\renewcommand\descriptionlabel[1]{\hspace{\labelsep}\textbf{##1:}}
\small\begin{description}[noitemsep,topsep=0pt,parsep=0pt,partopsep=0pt]%
}{%
\end{description}\normalsize%
}
\endinput