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DefinitionsV0-5-1.tex
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\newcommand{\scienceormathsurl}{\textbf{set your scienceormathsurl command!}}
% this is the prefix for the section shortcodes
\newcommand{\shortcodeprefix}{BOGUS}
\usepackage{fmtcount} % needed for \ABAlph
%\evensidemargin = 0.46cm
%\oddsidemargin = 0.46cm
%\topmargin = -1.54cm
%\headheight = 1cm
%\headsep = 0.5cm
%\textwidth = 14cm
%\textheight = 25.7cm
%\footskip = 1.25cm
%\setlength{\parindent}{0ex}
%\setlength{\parskip}{2ex}
\pagestyle{headings}
%\marginparsep = 0.5cm
%\marginparwidth = 2cm
%\hbadness=10000
\def\beforepreface{
\pagenumbering{roman}
\pagestyle{plain}
\thispagestyle{empty}%
\pagebreak[4]%\newpage
\setcounter{page}{1}
}
\def\prefacesection#1{%
\parskip 0pt
\chapter*{#1}
\addcontentsline{toc}{chapter}{#1}}
\parskip 0pt
\def\afterpreface{%\newpage
\parskip 0pt
\addcontentsline{toc}{chapter}{Table of Contents}
\addtolength{\parskip}{-0.75ex}
\tableofcontents
\addtolength{\parskip}{+0.75ex}
\cleardoublepage
\pagenumbering{arabic}
\pagestyle{fancy}
\renewcommand{\footrulewidth}{0.4pt}}
\makeatletter
\def\thickhrulefill{\leavevmode \leaders \hrule height 1pt\hfill \kern \z@}
\renewcommand{\maketitle}{\begin{titlepage}%
\let\footnotesize\small
\let\footnoterule\relax
\parindent \z@
\reset@font
% \null
\vskip 10\p@
\hbox{\mbox{%
\hspace{4pt}%
\includegraphics[width=4cm]{epsimages/logohighschool.eps}%
\hspace{4pt}
}%
\vrule depth 0.9\textheight%
\mbox{\hspace{2em}}
\vtop{% %%%%%%%%%%%%%%%%%%
\vskip 40\p@
\begin{flushleft}
\Large \@author \par
\end{flushleft}
\vskip 80\p@
\begin{flushleft}
\huge \bfseries \@title \par
\end{flushleft}
\vskip 80\p@
\begin{center}
\large \bfseries Version 0.5.1 \par
\large \bfseries \@date \par
\end{center}
\vfil
}}
\null
\end{titlepage}%
\setcounter{footnote}{0}%
}\makeatother
%===========================================================================%
% Here are the locally defined macros which are designed to make the FHSST
% authors' lives just that little bit more bearable ;-)
% Note To Self (comes up parenthesised and red)
\newcommand{\nts}[1]{(\textcolor{red}{NOTE TO SELF: #1})}
\newcommand{\query}[1]{(\textcolor{red}{Query: #1})}
\newcommand{\ohm}{\ensuremath{\Omega}}
\newcommand{\eohm}{\,\Omega}
\newcommand{\eN}{\,\rm{N}} %m in text
\newcommand{\emm}{\,\rm{m}} %m in text
\newcommand{\ep}{\,\ekg \cdot \mbox{\ms}} %m/s in text
\newcommand{\es}{\,\mathrm{s}} %s in equation
\newcommand{\ekg}{\,\mathrm{kg}} %kg in equation
\newcommand{\eJ}{\,\mathrm{J}} %J in equation
\newcommand{\eA}{\,\mathrm{A}} %A in equation
\newcommand{\eV}{\,\mathrm{V}} %J in equation
\newcommand{\eW}{\,\mathrm{W}} %W in equation
\newcommand{\ms}{m$\cdot$s$^{-1}$} %m/s in text
\newcommand{\mss}{m$\cdot$s$^{-2}$} %m/s in text
\newcommand{\ems}{\,\mathrm{m \cdot s^{-1}}} %m/s in equation
\newcommand{\emss}{\,\mathrm{m \cdot s^{-2}}} %m/s in equation
\newcommand{\qstart}[1]{#1\begin{enumerate}}
\newcommand{\qend}{
\end{enumerate}}
\newcommand{\px}{$x$} % position x, in text
\newcommand{\py}{$y$} % position y, in text
\newcommand{\edx}{\Delta x} % displacement dx, in text
\newcommand{\dx}{$\edx$} % displacement dx, in text
\newcommand{\edy}{\Delta y} % displacement dy, in text
\newcommand{\dy}{$\edy$} % displacement dy, in text
\newcommand{\edt}{\Delta t} % delta time dt, in text
\newcommand{\dt}{$\edt$} % delta time dt, in text
\newcommand{\vel}{$v$} % velocity
\newcommand{\kph}{km$\cdot$hr$^{-1}$} %km/h in text
\newcommand{\momen}{\vec{p}} %momentum
\newcommand{\kener}{KE} %kinetic energy
\newcommand{\poten}{PE} %kinetic energy
\newcommand{\degree}{^{\circ}}
\newcommand{\ie}{{\em i.e.~}}
\newcommand{\eg}{{\em e.g.~}}
\newcommand{\cf}{{\em c.f.~}}
\newcommand{\resp}{{\em resp.~}}
\newcommand{\etc}{{\em etc.~}}
\newcommand{\nb}{{\em n.b.~}}
\def\deg{$^\circ$}
\newcommand{\ud}{\mathrm{d}}
\newcommand{\comment}[1]{}
%===========================================================================%
% New style colours
\definecolor{siyavula-gray}{RGB}{242,242,242}
\definecolor{siyavula-dark-gray}{RGB}{205,204,204}
%===========================================================================%
% Classico font as per Peter JOhn
\renewcommand*\sfdefault{uop}
\renewcommand*\familydefault{\sfdefault}
%===========================================================================%
\newcommand{\practiceinfo}[0]{
\par\vspace*{2em}
\raisebox{-0.7em}{\includegraphics[scale=0.5]{../../icons/aplus.ps}} More practice
\phantom{xx}\raisebox{-0.7em}{\includegraphics[scale=0.5]{../../icons/video.ps}} video solutions
\phantom{xx}\raisebox{-0.7em}{\includegraphics[scale=0.5]{../../icons/help.ps}} or help at \scienceormathsurl
\vspace*{2em}
}
% This is an environment for conveniently writing out the syllabus for a
% particular section. using \item for each relevant entry from the syllabus
\newenvironment{syllabus}{\color{blue}The syllabus requires:\begin{itemize}}{\end{itemize}}
\newcounter{workedexamplecounter} % physics worked example counter
\setcounter{workedexamplecounter}{1}
\newlength{\saveparindentlength}
\setlength{\saveparindentlength}{\parindent}
% Essay counter :)
\newcounter{essaycounter} % physics worked example counter
\setcounter{essaycounter}{1}
% My attempt to define an essay environment
% Will take 3 arguments
% 1 - Essay title
% 2 - Authors name and details block
% 3 - About the author block
\newenvironment{essay}[4]%
{\begin{center}\begin{pspicture}(-5,0)(5,0.01)
\psline[linecolor=red]{-}(5,0)(7,0)\psline[linecolor=red]{-}(7,0)(7,-1)
\psline[linecolor=red]{-}(-7,0)(-5,0)\psline[linecolor=red]{-}(-7,0)(-7,-1)
\end{pspicture}\end{center}
\vspace{.5cm}\setlength{\parindent}{5pt}
\textbf{\textit{ Essay \arabic{essaycounter}} \\ #1 \small{by #2}}%
\addtocounter{essaycounter}{1}%
\par\vspace{.5cm} #4 \\\par\vspace{0.25cm}\textit{\textbf{Author: #2}}\\\vspace{0.5cm}%
\small{#3}\\ %
}%
{%
\begin{center}\begin{pspicture}(0,0)(5,0.01)%
\psline[linecolor=red]{-}(0,0)(5,0)%
\end{pspicture}\end{center}%
\setlength{\parindent}{\saveparindentlength}}
\def\essay[#1]{\pagebreak \addcontentsline{toc}{chapter}{\textit{Essay \arabic{essaycounter}}: #1}%
\textbf{\Large\textit{Essay \arabic{essaycounter}}: #1\addtocounter{essaycounter}{1}}%
}
\def\essayauthor[#1]{\vspace{.5cm}\textit{\textbf{Author: #1}}}
\def\essayauthorblurb[#1]{\par\vspace{.5cm}{\sffamily #1}}
\def\essaytitle[#1]{\vspace{0.3cm}{\textbf{\Large #1}}\par\vspace{0.3cm}}
% My attempt to define a worked example environment
\newcounter{stepcounter}
\setcounter{stepcounter}{1}
% can we deprecate the use of this, and use \westep instead
\newcommand{\westep}[1]
{\par \vspace{3mm}%\pagebreak[1]
\leftskip20pt
\noindent
\textit{Step \arabic{stepcounter}} : \textit{\textbf{#1}}
\par\noindent
\leftskip50pt
\addtocounter{stepcounter}{1}}
\ifx\setlinejoinmode\undefined
\newcommand{\setlinejoinmode}[1]{}
\fi
\ifx\setlinecaps\undefined
\newcommand{\setlinecaps}[1]{}
\fi
% This way define your own fonts mapping (for example with ifthen)
\ifx\setfont\undefined
\newcommand{\setfont}[2]{}
\fi
\newcommand{\pscompass}%
{\scalebox{1} % Change this value to rescale the drawing.
{
\begin{pspicture}(-1.5,-1.561875)(1.5,1.561875)
\pspolygon[fillstyle=solid,fillcolor=black](0,0.75)(0,0)(-0.15,0.15)
\pspolygon(0,0.75)(0,0)(0.15,0.15)
\pspolygon(0.75,0)(0,0)(0.15,-0.15)
\pspolygon[fillstyle=solid,fillcolor=black](0.75,0)(0,0)(0.15,0.15)
\pspolygon[fillstyle=solid,fillcolor=black](0,-0.75)(0,0)(0.15,-0.15)
\pspolygon(0,-0.75)(0,0)(-0.15,-0.15)
\pspolygon(-0.75,0)(0,0)(-0.15,0.15)
\pspolygon[fillstyle=solid,fillcolor=black](-0.75,0)(0,0)(-0.15,-0.15)
\uput[u](0,0.75){N}
\uput[d](0,-0.75){S}
\uput[l](-0.75,0){W}
\uput[r](0.75,0){E}
\end{pspicture}
}
}
\newcommand{\psrings}%
{%
\pscircle*[linewidth=0.5pt](0cm,0cm){.01}
\pscircle[linewidth=.5pt,linecolor=gray](0cm,0cm){.25}%
\pscircle[linewidth=.5pt,linecolor=gray](0cm,0cm){.5}%
\pscircle[linewidth=.5pt,linecolor=gray](0cm,0cm){0.75}%
\pscircle[linewidth=.5pt,linecolor=gray](0cm,0cm){1}%
}
\newcommand{\psintfact}%
{%
\rput(0,0){\begin{tabular}{c}\textbf{Interesting}\\ \textbf{Fact}%
\end{tabular}}
}
\newcommand{\psfact}%
{%
\begin{pspicture}(-.5,-.5)(.5,.5)
\psintfact
\PstLens[LensSize=0.5,LensRotation=-60,LensMagnification=1.5](-.04,-.1){\psintfact}
\end{pspicture}
}
\newcommand{\psflag}%
{%
\scalebox{0.3} % Change this value to rescale the drawing.
{\begin{pspicture}(0,-1.92)(3.0744452,1.92)
\definecolor{color792b}{rgb}{0.6,0.6,0.6}
\psline[linewidth=0.04cm](0.14559634,1.06)(0.9655963,-1.9)
\psline[linewidth=0.04cm](0.24559633,1.06)(1.0855963,-1.88)
\rput{13.182965}(0.26058337,-0.015092337){\psellipse[linewidth=0.04,dimen=outer](0.19559634,1.12)(0.19,0.1)}
\psline[linewidth=0.04cm](0.94559634,-1.88)(1.0655963,-1.86)
\psbezier[linewidth=0.04,fillstyle=solid,fillcolor=color792b](0.86559635,1.42)(1.2655964,1.64)(0.94559634,1.24)(1.1455964,1.2)(1.3455963,1.16)(2.4855964,1.9)(2.5255964,1.86)(2.5655963,1.82)(3.054445,0.5009174)(2.9255962,0.54)(2.7967474,0.5790826)(1.4855963,-0.3)(1.3855963,-0.16)(1.2855964,-0.02)(1.3455963,-0.08)(1.3455963,0.12)(1.3455963,0.32)(0.7855963,-0.28)(0.7055963,-0.34)(0.62559634,-0.4)(0.26559633,0.84)(0.28559634,0.86)(0.30559632,0.88)(0.26559633,0.94)(0.26559633,0.94)(0.26559633,0.94)(0.46559635,1.2)(0.86559635,1.42)
\end{pspicture}}
}
\newcommand{\psqmark}%
{%
\scalebox{0.2} % Change this value to rescale the drawing.
{\begin{pspicture}(0,-3.51)(3.98,3.53)
\psbezier[linewidth=0.04,fillstyle=solid,fillcolor=black](0.92,2.95)(1.22,3.37)(1.84,3.51)(2.44,3.43)(3.04,3.35)(3.96,2.93)(3.88,1.69)(3.8,0.45)(2.06,-0.27)(1.88,-1.09)(1.7,-1.91)(2.3,-2.09)(2.36,-2.15)(2.42,-2.21)(1.44,-1.99)(1.44,-1.15)(1.44,-0.31)(2.94,0.77)(2.84,1.69)(2.74,2.61)(1.36,3.07)(0.68,1.95)(0.0,0.83)(0.62,2.53)(0.92,2.95)
\pscircle[linewidth=0.04,dimen=outer,fillstyle=solid,fillcolor=black](2.09,-2.96){0.55}
\end{pspicture}}
}
\newcommand{\pstip}%
{%
\scalebox{0.2} % Change this value to rescale the drawing.
{\begin{pspicture}(0,-3.1533968)(2.7831953,3.1533968)
\definecolor{color2871}{rgb}{0.4,0.4,0.4}
\psbezier[linewidth=0.04,linecolor=color2871,fillstyle=solid,fillcolor=color2871](0.30975282,1.480703)(0.59950,0.346823)(1.4712996,-1.9338118)(1.9878281,-1.8548366)(2.5043566,-1.7758614)(2.18284,0.61323)(1.8401965,1.87331)(1.497551,3.13339)(0.019999,2.6145823)(0.30975,1.480703)
\rput{14.334663}(-0.565312,-0.6214416){\pscircle[linewidth=0.04,linecolor=color2871,dimen=outer,fillstyle=solid,fillcolor=color2871](2.18828,-2.55848){0.54}}
\end{pspicture}}
}
\newcommand{\psbulb}%
{%
\scalebox{0.2} % Change this value to rescale the drawing.
{\begin{pspicture}(0,-3.3013647)(4.908481,3.4294605)
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\newenvironment{g_experiment}[1]{
\par
\newlength{\myfloatsep}
\setlength{\myfloatsep}{\floatsep}
\setlength{\floatsep}{2mm}
%\begin{quotation}
\noindent
\vspace{.5cm}
\newlength{\oldparindent}
\setlength{\oldparindent}{\parindent}
\setlength{\parindent}{0pt}
\ifdimless{\pagegoal-\pagetotal}{4cm}%4em play with this
{\clearpage\vspace*{-\topskip}}{}
\begin{mdframed}[backgroundcolor=siyavula-dark-gray, linecolor=siyavula-dark-gray, leftmargin=10pt]
\vspace*{8pt}
{\Large\textbf{\textit{General experiment:}} } {\Large\textit{#1}}
\vspace*{0pt}
\end{mdframed}
\vspace*{2pt}
\begin{mdframed}[linecolor=siyavula-gray,backgroundcolor=siyavula-gray, leftmargin=10pt, skipbelow=18pt]
}%
{%
\end{mdframed}
\setlength{\parindent}{\oldparindent}
\setlength{\floatsep}{\myfloatsep}
\par
}
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{% This is a picture at the beginning, a line or bar or something else
\begin{center}
\begin{pspicture}(0,-0.2)(5,0.2)
\psline[doubleline=true,linewidth=1pt]{-}(0,0)(5,0)
\psline[doubleline=true,linewidth=1pt,border=3pt](2,0.2)(2.5,-0.2)(3,0.2)
\end{pspicture}
\end{center}% End of opening picture
% this command puts a bar in the margin and sets the bar width
\setlength{\changebarwidth}{8pt}\cbstart
% Now we set margins
\begin{quotation}
\noindent
\vspace{.5cm}
\setlength{\parindent}{0pt}
%% Title and counter
\textbf{\textit{Worked Example \arabic{workedexamplecounter}: }
#1}\par
\textbf{Question:} #2\par
\textbf{Answer}\par #3%
\addtocounter{workedexamplecounter}{1}\setcounter{stepcounter}{1}%
\par%\vspace{.25cm}
}%
{\cbend
\end{quotation}\begin{center}\begin{pspicture}(0,-0.2)(5,0.2)
\psline[doubleline=true,linewidth=1pt]{-}(0,0)(5,0)
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\end{pspicture}\end{center}
\setlength{\parindent}{\saveparindentlength}}
\newcommand{\IFact}[1]{
\marginpar{%odd
\begin{minipage}[m]{0.225\paperwidth}
\begin{mdframed}[linecolor=black, linewidth=1.0pt,leftmargin=15pt, rightmargin=15pt]
\textbf{\textit{FACT}}
\end{mdframed}
\begin{mdframed}[backgroundcolor=lightgray, linecolor=lightgray,skipabove=-4pt, leftmargin=15pt, rightmargin=15pt]
\small #1
\end{mdframed}
\end{minipage}
}
}
%Defining our own aside environment!
\newcommand{\Extension}[2]
{%\vspace{3mm}
%\begin{quotation}
%\rput(-2.5,0){\psbulb}\noindent%
%\textit{Extension: #1}\\
%#2
%\end{quotation}
%\vspace{3mm}
\setlength{\saveparindentlength}{\parindent}
\setlength{\parindent}{0pt}
\ifdimless{\pagegoal-\pagetotal}{4em}%4em play with this
{\clearpage\vspace*{-\topskip}}{}
\begin{quotation}
\vspace*{25.6pt}
{ \fontsize{12}\bfseries\itshape
\begin{tikzpicture}[remember picture,overlay]
\node[anchor=west ,text centered, xshift=-40pt]
{\begin{tikzpicture}[remember picture, overlay]
\draw[color=white, draw=black, line width=1pt] (0,0) rectangle
(0.25\textwidth, 28pt);
\node[anchor=west, yshift=14pt, xshift=4pt, text centered]
{ \bfseries ~ \color{black} Extension:};
\end{tikzpicture}
};
% now the white bar to the end of the paragraph
\node[anchor=west, xshift=45pt]{
\begin{tikzpicture}[remember picture, overlay]
\draw[fill=white, draw=black, line width=1pt] (0,0) rectangle
(0.75\textwidth-5pt,28pt);
\node[anchor=west, yshift=14pt, xshift=0pt, text centered]
{ \textit{#1} };
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};
\end{tikzpicture}
}
\begin{mdframed}[leftline=true, topline=false, bottomline=true, rightline=false, linecolor=siyavula-gray, linewidth=10pt]
\noindent
#2
\end{mdframed}
\end{quotation}
\setlength{\parindent}{\saveparindentlength}
}
\newcommand{\Definition}[2]{
\begin{mdframed}[nobreak=true, linewidth=1,linecolor=black, skipabove=36pt]%
\vspace*{10pt}
\leftskip20pt
\rightskip20pt
{\Large\textsl{DEFINITION: } \textit{#1}}
\par\noindent
#2
\vspace*{1em}
\end{mdframed}
}
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\vspace{3mm}
\begin{center}
\psshadowbox[framearc=0.2]{\begin{minipage}[t]{0.95\textwidth}
\textbf{Historical Note: #1}\par
#2
\end{minipage}}
\end{center}
\vspace{3mm}}
\mathchardef\ocomma="013B
\mathchardef\pcomma="613B
\mathcode`\,="8000
{\catcode`\,=\active
\gdef,{\obeyspaces
\futurelet\next\smartcomma}}
\def\smartcomma{\if\space\next
\pcomma\else\ocomma\fi}
%the macro divrule#1#2 produces a rule the same width as
%#2 digits, indented by the width of #1 digits.
%~ is used as an active character to produce a space equal to a comma
% this is in order to align numbers properly
\newdimen\digitwidth
\settowidth\digitwidth{,}
%{\catcode`\~=\active
% \gdef~{\hspace{\digitwidth}}}
\def\divrule#1#2{%
\noalign{\moveright#1\digitwidth%
\vtop{\hrule width#2\digitwidth}}}
% Adds a reminder to put an example in.
\newcommand{\Ex}{(\textcolor{red}{ADD AN EXAMPLE HERE})}
\newcommand{\new}[1]{{\textit #1}}
\newcommand{\advanced}[1]{\nts{Advanced: #1}}
\def\deg{$^\circ$}
\newcommand{\equ}[2]{\begin{equation}#1\label{#2}\end{equation}}
\newcommand{\nequ}[1]{\begin{equation*}#1\end{equation*}}
\newcommand{\Tip}[1]{
\marginpar{%odd
\begin{minipage}[m]{0.225\paperwidth}
\begin{mdframed}[linecolor=black, linewidth=1.0pt, leftmargin=15pt, rightmargin=15pt]
\textbf{\textit{Tip}}
\end{mdframed}
\begin{mdframed}[backgroundcolor=lightgray, linecolor=lightgray,skipabove=-4pt,leftmargin=15pt, rightmargin=15pt]
\small #1
\end{mdframed}
\end{minipage}
}
}
\newcommand{\GlossEntry}[2]
{%\vspace{3mm}
%\begin{center}
\marginpar{
\textit{\textbf{#1} : #2}
}
%\newglossaryentry{#1}{name=#1,description=#2}
%\end{center}
%\vspace{3mm}
}
\newcommand{\MarginTip}[1]{
\marginpar{\begin{center}
\psshadowbox{\begin{minipage}[t]{\marginparwidth}%
#1%
\end{minipage}}
\end{center}}
}
\newcommand{\Activity}[3]{
%\vspace{3mm}
%\begin{center}
%\begin{pspicture}(0,-0.1)(10,0.1)\psline[linewidth=1pt]{-}(0,0)(10,0)
%\end{pspicture}
% \begin{quotation} % or save, then modify margin
% \textbf{Activity :: #1 : #2}\par #3%
% \end{quotation} % or set margins back to normal
%\begin{pspicture}(0,-0.1)(10,0.1)\psline[linewidth=1pt]{-}(0,0)(10,0)
%\end{pspicture}
%\end{center}
%\vspace{3mmi}
\setlength{\saveparindentlength}{\parindent}
\setlength{\parindent}{0pt}
\ifdimless{\pagegoal-\pagetotal}{4em}%4em play with this
{\clearpage\vspace*{-\topskip}}{}
\begin{quotation}
\vspace*{25.6pt}
{ \fontsize{12}\bfseries\itshape
\begin{tikzpicture}[remember picture,overlay]
\node[anchor=west ,text centered, xshift=-40pt]
{\begin{tikzpicture}[remember picture, overlay]
\draw[color=white, draw=black, line width=1pt] (0,0) rectangle
(0.2\textwidth, 28pt);
\node[anchor=west, yshift=14pt, xshift=4pt, text centered]
{ \bfseries ~ \color{black} Activity:};
\end{tikzpicture}
};
% now the white bar to the end of the paragraph
\node[anchor=west, xshift=45pt]{
\begin{tikzpicture}[remember picture, overlay]
\draw[fill=white, draw=black, line width=1pt] (0,0) rectangle
(0.8\textwidth-5pt,28pt);
\node[anchor=west, yshift=14pt, xshift=0pt, text centered]
{ \textit{#2} };
\end{tikzpicture}
};
\end{tikzpicture}
}
\begin{mdframed}[leftline=true, topline=false, bottomline=false, rightline=false, linecolor=siyavula-dark-gray, linewidth=10pt]
\vspace{5pt}
#3
\end{mdframed}
\end{quotation}
\setlength{\parindent}{\saveparindentlength}
}
% End of Activity
\newcommand{\Aim}[1]{\par\noindent\textbf{Aim:} \par\noindent #1}
\newcommand{\Apparatus}[1]{\par\noindent\textbf{Apparatus:} \par\noindent #1}
\newcommand{\Method}[1]{\par\noindent\textbf{Method:} \par\noindent #1}
\newcommand{\Results}[1]{\par\noindent\textbf{Results:} \par\noindent #1}
\newcommand{\Conclusions}[1]{\par\noindent\textbf{Conclusions:} \par\noindent
#1}
%EZ new counters for exercises,
\newcounter{exercisecounter}
\setcounter{exercisecounter}{1}
% make it reset for new chapters
\makeatletter
\@addtoreset{exercisecounter}{chapter}
\makeatother
\newenvironment{eocexercises}[1]
{
\vspace*{1cm}
\eocexercisesheading
%\hrule width \textwidth height 1pt\\
\begin{quotation}
\noindent
%\vspace{.5cm}
\setlength{\parindent}{0pt}
%\textbf{\textit{End of chapter exercises:}
%#1}
\par
}%
{%
\end{quotation}
\setlength{\parindent}{\saveparindentlength}
}
\newcommand{\Exercise}[2]{
\vspace*{0.5cm}
\exercisesheading
#2
}
\newtheorem{Theorem}{Theorem}
\newtheorem{Lemma}{This is a leemmma}
\newcommand{\mytheorem}[3]{
{\begin{Theorem}{#2}\label{#1}\end{Theorem}}
\textbf{Proof}:{#3}}
\newcommand{\schooltheorem}[6]{
{\begin{Theorem}{#2}:#3\label{#1}\end{Theorem}}
\textbf{Given}:{#4} \par
\textbf{R.T.P.}:{#5} \par
\textbf{Proof}:{#6}
}
\newcounter{stepcounter}
\setcounter{stepcounter}{1}
\newcounter{workedexamplecounter}
\setcounter{workedexamplecounter}{1}
\newenvironment{wex}[3]
{\newlength{\myfloatsep}
\setlength{\myfloatsep}{\floatsep}
\setlength{\floatsep}{2mm}
\begin{quotation}
\noindent
\newlength{\oldparindent}
\setlength{\oldparindent}{\parindent}
\setlength{\parindent}{20pt}
\ifdimless{\pagegoal-\pagetotal}{4cm}%4em play with this
{\clearpage\vspace*{-\topskip}}{}
\begin{mdframed}[linewidth=1pt,linecolor=black, leftmargin=10pt, innertopmargin=8pt, innerbottommargin=6pt, skipbelow=0pt]
{\Large\textbf{\textit{Example \arabic{workedexamplecounter}:}} } {\Large\textit{#1}}
\vspace*{0pt}
\end{mdframed}
\vspace*{-1em}
\begin{mdframed}[linecolor=siyavula-gray,backgroundcolor=siyavula-gray, leftmargin=10pt, skipbelow=8pt]
{\large\textbf{\textit{QUESTION}}} \vspace*{4pt}
\hrule
\vspace*{18pt}
\noindent
\textit{\noindent #2}
\vspace*{28pt}
\par\noindent
{\large\textbf{\textit{SOLUTION}}}\vspace*{4pt}
\hrule
\vspace*{18pt}
\noindent
#3%
\vspace*{28pt}
\hrule
\addtocounter{workedexamplecounter}{1}\setcounter{stepcounter}{1}%
%\vspace{.25cm}
}%
{%
\end{mdframed}
\end{quotation}
%\nopagebreak[4]
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% \psline[linecolor=gray,linewidth=3pt]{-}(0,0)(10,0)
% \psline[linecolor=gray]{-}(10,0)(10,2)
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\setlength{\parindent}{\oldparindent}
\setlength{\floatsep}{\myfloatsep}
}
\newcommand{\MarginCompass}{\marginpar{\begin{center}\pscompass\end{center}}}
\newcommand{\todo}[1]{(\textcolor{red}{To Do: #1})}
%Chemistry Definitions
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\def\filledbeaker{\psline[linearc=7pt](0,2)(0,0)(1.5,0)(1.5,2)
\psline[fillstyle=solid,fillcolor=lightgray,linearc=7pt](0,1)(0,0)(1.5,0)(1.5,1)\psellipse(0.75,2)(0.8,0.1)}
\def\bunsen{
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\pnode(0.6,0.4){E}\pnode(0.8,0.4){F}\pnode(0.7,0.4){EF}
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\pnode(0,0.6){G}\pnode(0.6,0.6){H}
\pnode(0,0.7){I}\pnode(0.6,0.7){J}
\pnode(0.5,0.75){J1}\pnode(0.9,0.95){J2}
\pnode(0.5,1.6){M}\pnode(0.9,2){N}
\pnode(0.55,1.4){O}\pnode(0.85,1.6){P}
\psframe(A)(D)
\psline(C)(E)\psline(D)(F)
\psellipse(EF)(0.1,0.05)
\psframe[fillstyle=solid,linestyle=none,fillcolor=white](E)(0.9,0.5)
\psline(E)(K)\psline(F)(L)
\psline(G)(H)\psline(I)(J)
\psframe(M)(N)\psframe(O)(P)
\psframe[fillstyle=solid,fillcolor=white](J1)(J2)
\pscircle(0.7,0.85){0.05}\pscircle(0.6,0.85){0.05}\pscircle(0.8,0.85){0.05}}
\def\stand{\psline(0,0)(0.5,2.5)\psline(0,2.5)(2.5,2.5)\psline(2.5,0)(2,2.5)}
%Physics Definitions
\def\rope{\psline(0,0.2)(5,.2)\psline(0,0)(5,0)\multirput(0,0)(0.2,0){25}{\psline(0,0)(0.2,0.2)}}
\def\cart{\psframe(0,0.4)(1,1)\pscircle(0.2,0.2){0.2}\pscircle(0.8,0.2){0.2}}
% Arrow for objects and images
\newpsobject{oi}{psline}{arrowsize=6pt, arrowlength=1.5, arrowinset=0, linewidth=2pt}
\psset{lensHeight=3,lensColor=lightgray}
\newpsobject{PrincipalAxis}{psline}{linewidth=0.5pt,linecolor=gray}
%Maths Definitions
\def\arrow{\psline(0,0)(0.2;-45)\psline(0,0)(0.2;45)}
\newcommand{\fline}[1]{\mathrm{#1}}
\psset{gridcolor=lightgray,RightAngleSize=0.2}
\def\andgate{\rput(1.2,0){
\psline(0.75,1)(0,1)(0,0)(0.75,0)
\psarcn(0.75,0.5){0.5}{90}{-90}
\psline(1.25,0.5)(2,0.5)
\psline(-0.75,0.3)(0,0.3)
\psline(-0.75,0.7)(0,0.7)
\uput[l](-0.75,0.7){A}
\uput[l](-0.75,0.3){B}
\uput[r](2,0.5){AB}}}
\def\nandgate{\rput(1.2,0){
\psline(0.75,1)(0,1)(0,0)(0.75,0)
\psarcn(0.75,0.5){0.5}{90}{-90}
\psline(1.25,0.5)(2,0.5)
\psline(-0.75,0.3)(0,0.3)
\psline(-0.75,0.7)(0,0.7)
\psdot[dotstyle=o](1.32,0.5)
\uput[l](-0.75,0.7){A}
\uput[l](-0.75,0.3){B}
\uput[r](2,0.5){$\overline{\rm{AB}}$}}}
\def\notgate{\rput(1.2,0){
\pspolygon(0.75,0.5)(0,1)(0,0)
\psdot[dotstyle=o](0.8,0.5)
\psline(0.8,0.5)(1.5,0.5)
\psline(-0.75,0.5)(0,0.5)
\uput[l](-0.75,0.5){A}
\uput[r](1.5,0.5){$\bar{\rm{A}}$}}}
\def\orgate{\rput(1.2,0.5){
\pscurve(-0.1,0.5)(0,0)(-0.1,-0.5)
\psline(-0.1,-0.5)(0.1,-0.5)
\pscurve(0.1,-0.5)(0.5,-0.4)(0.95,0)
\psline(-0.1,0.5)(0.1,0.5)
\pscurve(0.1,0.5)(0.5,0.4)(0.95,0)
\psline(-0.75,-0.3)(-0.05,-0.3)
\psline(-0.75,0.3)(-0.05,0.3)
\psline(0.95,0)(1.7,0)
\uput[r](1.7,0){A+B}
\uput[l](-0.75,0.3){A}
\uput[l](-0.75,-0.3){B}}}
\def\norgate{\rput(1.2,0.5){
\pscurve(-0.1,0.5)(0,0)(-0.1,-0.5)
\psline(-0.1,-0.5)(0.1,-0.5)
\pscurve(0.1,-0.5)(0.5,-0.4)(0.95,0)
\psline(-0.1,0.5)(0.1,0.5)
\pscurve(0.1,0.5)(0.5,0.4)(0.95,0)
\psline(-0.75,-0.3)(-0.05,-0.3)
\psline(-0.75,0.3)(-0.05,0.3)
\psline(0.95,0)(1.7,0)
\psdot[dotstyle=o](0.97,0)
\uput[r](1.7,0){$\overline{\rm{A+B}}$}
\uput[l](-0.75,0.3){A}
\uput[l](-0.75,-0.3){B}}}
% just remove sections form header - too long
\renewcommand{\sectionmark}[1]{\markright{}{}}
% Fancy headers
\newcounter{shortcodecounter}
\setcounter{shortcodecounter}{1}
\usepackage[explicit]{titlesec}
\newcommand*\chapterlabel{}
\titleformat{\chapter}
{\gdef\chapterlabel{}
\normalfont\sffamily\fontsize{38}\bfseries\slshape}
{\gdef\chapterlabel{\thechapter\ }}{0pt}
{\begin{tikzpicture}[remember picture,overlay]
\node[yshift=-4cm] at (current page.north west)
{\begin{tikzpicture}[remember picture, overlay]
\shade[left color=white, right color=gray] (0,0) rectangle
(1.2\paperwidth,4cm);
\node[anchor=west,text centered, yshift=2.5cm, xshift=1cm]
{
\begin{minipage}{1.2\textwidth}
\raggedright
\phantom{xxx}\color{black} #1
\end{minipage}
};
\node[anchor=west,text centered, yshift=2.0cm, xshift=0.85\paperwidth]
{\begin{minipage}{\textwidth}
\color{white}\chapterlabel
\end{minipage}
};
\end{tikzpicture}
};
\end{tikzpicture}
\setcounter{workedexamplecounter}{1}
}
\titlespacing*{\chapter}{1.5cm}{1cm}{1cm}
\newcommand*\sectionlabel{}
\titleformat{\section}
{\gdef\sectionlabel{}
\normalfont\sffamily\fontsize{22}\normalfont\itshape}
{\gdef\sectionlabel{\thesection}}{0pt}
{
\begin{tikzpicture}[remember picture,overlay]
\node[anchor=west, yshift=-1.5cm, xshift=-4.0cm]
{\begin{tikzpicture}[remember picture, overlay]
\draw[fill=siyavula-gray, color=siyavula-dark-gray, xshift=-\marginparwidth] (0,0) rectangle
(1.5\paperwidth,2.0cm);
\node[anchor=west,text centered ,yshift=1.0cm, xshift=\hoffset+0.45\marginparwidth]
{
\begin{minipage}{0.85\textwidth}
\raggedright
\color{black} \sectionlabel~#1
\end{minipage}
};
\node[anchor=east,text centered, yshift=1.0cm, xshift=\hoffset+0.45\marginparwidth+1.1\textwidth]
{\Large\color{black} \raisebox{-0.25em}{\includegraphics[scale=0.3]{../../icons/www.ps}}~\shortcodeprefix\ABAlph{shortcodecounter}};
\end{tikzpicture}
};
\end{tikzpicture}
\addtocounter{shortcodecounter}{1}
}
\titlespacing*{\section}{1cm}{1cm}{2cm}
\newcommand*\subsectionlabel{}
\titleformat{\subsection}
{\gdef\subsectionlabel{}
\normalfont\sffamily\fontsize{18}\bfseries\slshape}
{\gdef\subsectionlabel{\thesubsection}}{0pt}
{\begin{tikzpicture}[remember picture,overlay]
\node[anchor=west, yshift=-1.5cm, xshift=-0.5cm]
{\begin{tikzpicture}[remember picture, overlay]
\draw[fill=siyavula-gray, color=siyavula-gray] (0,0) rectangle
(0.915\paperwidth,1.5cm);
\node[anchor=west,text centered ,yshift=0.75cm, xshift=\hoffset+0.02\marginparwidth]
{ \begin{minipage}{0.85\textwidth}
\color{black} #1
\end{minipage}
};
\node[anchor=east,text centered, yshift=0.75cm, xshift=\hoffset+0.05\marginparwidth+1.1\textwidth]
{\Large\color{black} \raisebox{-0.25em}{\includegraphics[scale=0.3]{../../icons/www.ps}}~\shortcodeprefix\ABAlph{shortcodecounter}};
\end{tikzpicture}
};
\end{tikzpicture}
\addtocounter{shortcodecounter}{1}
}
\titlespacing*{\subsection}{0cm}{1cm}{2cm}
\newcommand{\exercisesheading}{
\addtocounter{exercisecounter}{1}
\par \vspace*{2\baselineskip}
{ \fontsize{12}\bfseries\itshape
\begin{tikzpicture}[remember picture,overlay]
\node[anchor=west ,text centered]
{\begin{tikzpicture}[remember picture, overlay]
\draw[color=white, draw=black, line width=1pt] (0,0) rectangle
(0.3\textwidth, 28pt);
\node[anchor=west, yshift=14pt, xshift=4pt, text centered]
{ \bfseries ~ \color{black} Exercise \chapterlabel~-~\arabic{exercisecounter} };
\end{tikzpicture}
};
% now the gray bar to the end of the paragraph
\node[anchor=west, xshift=0.335\textwidth]{
\begin{tikzpicture}[remember picture, overlay]
\draw[fill=white, color=white] (0,0) rectangle
(0.655\textwidth,28pt);
\end{tikzpicture}
};