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Robin Clark 2010-11-30 16:53:26 +00:00
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commit 0c69424be0
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16
fmmd_data_model/fmmd_data_model.tex
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@ -307,5 +307,21 @@ paper
{ {
chapter chapter
} }
\begin{figure}
\begin{tikzpicture}
\tikzstyle{every node} = [node distance=1.5cm]
\Vertex[x=0,y=0]{A}
\Vertex[x=1,y=0]{B}
\Vertex[x=0,y=1]{C}
\tikzstyle{LabelStyle}=[fill=white,sloped]
\tikzstyle{EdgeStyle}=[bend left]
\Edge[label=hullo]{B}{C}
\end{tikzpicture}
\caption{graph}
\end{figure}
\vspace{60pt} \vspace{60pt}
\today \today

6
fmmd_data_model/paper.tex
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@ -3,6 +3,12 @@
\usepackage{graphicx} \usepackage{graphicx}
\usepackage{fancyhdr} \usepackage{fancyhdr}
\usepackage{tikz} \usepackage{tikz}
\usepackage{tkz-graph}
\usepackage{tkz-berge}
\usetikzlibrary{arrows,%
petri,%
topaths}%
\usepackage{amsfonts,amsmath,amsthm} \usepackage{amsfonts,amsmath,amsthm}
\input{../style} \input{../style}
\usepackage{ifthen} \usepackage{ifthen}

134
latex_examples/atoms-and-orbitals.tex Normal file
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@ -0,0 +1,134 @@
% Example drawings to help explain the VSEPR atom model to high school
% students. Although the actual model is three dimensional, these drawings
% are deliberately presented as two dimensional to gently introduce them to the
% concepts, before advancing to three dimensional models.
%
% Authors: Berteun Damman & Arne Röhrs
\documentclass{article}
\usepackage{verbatim}
\begin{comment}
:Title: Atoms and orbitals
Example drawings to help explain the `VSEPR atom model`_ to high school
students. Although the actual model is three dimensional, these drawings
are deliberately presented as two dimensional to gently introduce them to the
concepts, before advancing to three dimensional models.
.. _VSEPR atom model: http://en.wikipedia.org/wiki/VSEPR_theory
\end{comment}
\usepackage{tikz}
\usepackage[version=3]{mhchem}
\pgfdeclarelayer{background}
\pgfdeclarelayer{foreground}
\pgfsetlayers{background,main,foreground}
% For black & white suggestions are black!95 for the electron
% and a white background, or a simple shade for the orbitals.
\colorlet{electron}{blue!75}
\tikzset{orbital/.style={thick,draw=blue,fill opacity=.60}}
% Styles for orbitals with 0, 1 and 2 atoms respectively.
\tikzset{orbital 0/.style={orbital,fill=blue!25}}
\tikzset{orbital 1/.style={orbital,fill=blue!66}}
\tikzset{orbital 2/.style={orbital,fill=blue}}
\tikzset{atomcore/.style={shape=circle,thick,draw=red!40,minimum size=7mm,
font=\large\color{red!70!gray},fill=red!20,inner sep=0pt}}
\def\orbheight{1.2}
\def\orbwidth{.6}
% Parameters: #1 Rotation of the orbital
% #2 Coordinate where the orbital should be attached
% #3 Number of electrons to draw in the orbital
\newcommand{\orbital}[3]{
\begin{scope}[rotate=#1,shift=(#2)]
% These points define the curve for the orbital.
\coordinate (c1) at (-\orbwidth, .6 * \orbheight);
\coordinate (c2) at (-\orbwidth, \orbheight);
\coordinate (c3) at (\orbwidth, \orbheight);
\coordinate (c4) at (\orbwidth, .6 * \orbheight);
\coordinate (top) at (0,\orbheight);
%Coordinates of the electrons
\coordinate (e1) at (0, 0.45*\orbheight);
\coordinate (e2) at (0, 0.75*\orbheight);
\end{scope}
% These are drawn on a background layer, so orbitals
% can overlap without covering the electrons, which
% visualises the role electrons play in chemical bonds.
\begin{pgfonlayer}{background}
\draw[orbital #3] (#2) .. controls (c1) and (c2) .. (top) ..
controls (c3) and (c4) .. (#2);
\end{pgfonlayer}
% Draw the electrons
\ifnum#3>0
\foreach \n in {1,...,#3} {
\shade[ball color=electron] (e\n) circle (1mm);
}
\fi
}
% This allows to quickly place an atom.
% Parameters: #1 (Optional) Name of the center node
% #2 Text for the center node
% #3 A list of rotation-angle/anchor/number of electrons
\newcommand{\Atom}[3][AtomNode]{
\node[atomcore] (#1) {\ce{#2}};
\foreach \ang/\anchor/\n in {#3} {
\orbital{\ang}{#1.\anchor}{\n}
}
}
\begin{document}
\pagestyle{empty}
% Note: Cells of matrices cannot contain layered pictures,
% therefore we use some old-fashioned scopes.
\begin{tikzpicture}
\Atom{B}{90/west/2,0/north/1,270/east/0,180/south/1}
\begin{scope}[xshift=4cm]
\Atom{H}{0/north/1}
\end{scope}
\begin{scope}[yshift=-4cm]
\Atom{C}{90/west/1,0/north/1,270/east/1,180/south/1}
\begin{scope}[xshift=4cm]
\Atom{Cl}{90/west/2,0/north/2,270/east/2,180/south/1}
\end{scope}
\end{scope}
\end{tikzpicture}
\medskip
\begin{tikzpicture}
\Atom{Cl}{90/west/2,0/north/2,270/east/1,180/south/2}
\begin{scope}[xshift=2.2cm]
\Atom{H}{90/west/1}
\end{scope}
\end{tikzpicture}
\medskip
\begin{tikzpicture}
\Atom{O}{45/north west/2,315/north east/1,225/south east/1,135/south west/2}
\begin{scope}[xshift=3.0cm]
\Atom{O}{45/north west/1,315/north east/2,225/south east/2,135/south west/1}
\end{scope}
\begin{scope}[xshift=7.0cm]
\Atom{O}{45/north west/2,315/north east/1,225/south east/1,135/south west/2}
\begin{scope}[xshift=1.6cm]
\Atom{O}{45/north west/1,315/north east/2,225/south east/2,135/south west/1}
\end{scope}
\end{scope}
\end{tikzpicture}
\end{document}

64
latex_examples/bridges-of-konigsberg.tex Normal file
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@ -0,0 +1,64 @@
% The seven bridges of Königsberg
% Author : Alain Matthes
% Encoding : UTF8
% Engine : PDFLaTeX
\documentclass[]{article}
\usepackage[utf8]{inputenc}
\usepackage{fullpage}
\usepackage{fourier}
\usepackage{tikz}
%%%<
\usepackage{verbatim}
\usepackage[active,tightpage]{preview}
\PreviewEnvironment{tikzpicture}
\setlength\PreviewBorder{5pt}%
%%%>
\begin{comment}
:Title: The seven bridges of Königsberg
:Slug: bridges-of-konigsberg
The Seven Bridges of Königsberg is a famous historical problem in mathematics. Its negative resolution by Leonhard Euler in 1735 laid the foundations of graph theory and presaged the idea of topology.
\end{comment}
\usetikzlibrary{arrows,%
shapes,positioning}
\thispagestyle{empty}
\begin{document}
The Seven Bridges of Königsberg is a famous historical problem in mathematics. Its negative resolution by Leonhard Euler in 1735 laid the foundations of graph theory and presaged the idea of topology.
Abstract graph corresponding to bridges of Königsberg
\begin{center}
\begin{tikzpicture}[node distance = 2 cm]
\useasboundingbox (-1,-1) rectangle (50,50);
\tikzset{VertexStyle/.style = {shape = circle,
ball color = orange,
text = black,
inner sep = 2pt,
outer sep = 0pt,
minimum size = 24 pt}}
\tikzset{EdgeStyle/.style = {thick,
double = orange,
double distance = 1pt}}
\tikzset{LabelStyle/.style = {draw,
fill = yellow,
text = red}}
\node[VertexStyle](A){A};
\node[VertexStyle,right=of A](B){B};
\node[VertexStyle,right=of B](C){C};
\node[VertexStyle,above= 8 cm of B](D){D};
\draw[EdgeStyle](B) to node[LabelStyle]{1} (D) ;
\tikzset{EdgeStyle/.append style = {bend left}}
\draw[EdgeStyle](A) to node[LabelStyle]{2} (B);
\draw[EdgeStyle](B) to node[LabelStyle]{3} (A);
\draw[EdgeStyle](B) to node[LabelStyle]{4} (C);
\draw[EdgeStyle](C) to node[LabelStyle]{5} (B);
\draw[EdgeStyle](A) to node[LabelStyle]{6} (D);
\draw[EdgeStyle](D) to node[LabelStyle]{7} (C);
\end{tikzpicture}
\end{center}
\end{document}

59
latex_examples/neural-network.tex Normal file
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\documentclass{article}
\usepackage{tikz}
\usepackage{verbatim}
\begin{comment}
:Title: Neural network
:Tags: Foreach
The ``\foreach`` command is very useful for quickly creating structured graphics
like this neural network diagram.
\end{comment}
\begin{document}
\pagestyle{empty}
\def\layersep{2.5cm}
\begin{tikzpicture}[shorten >=1pt,->,draw=black!50, node distance=\layersep]
\tikzstyle{every pin edge}=[<-,shorten <=1pt]
\tikzstyle{neuron}=[circle,fill=black!25,minimum size=17pt,inner sep=0pt]
\tikzstyle{input neuron}=[neuron, fill=green!50];
\tikzstyle{output neuron}=[neuron, fill=red!50];
\tikzstyle{hidden neuron}=[neuron, fill=blue!50];
\tikzstyle{annot} = [text width=4em, text centered]
% Draw the input layer nodes
\foreach \name / \y in {1,...,4}
% This is the same as writing \foreach \name / \y in {1/1,2/2,3/3,4/4}
\node[input neuron, pin=left:Input \#\y] (I-\name) at (0,-\y) {};
% Draw the hidden layer nodes
\foreach \name / \y in {1,...,5}
\path[yshift=0.5cm]
node[hidden neuron] (H-\name) at (\layersep,-\y cm) {};
% Draw the output layer node
\node[output neuron,pin={[pin edge={->}]right:Output}, right of=H-3] (O) {};
% Connect every node in the input layer with every node in the
% hidden layer.
\foreach \source in {1,...,4}
\foreach \dest in {1,...,5}
\path (I-\source) edge (H-\dest);
% Connect every node in the hidden layer with the output layer
\foreach \source in {1,...,5}
\path (H-\source) edge (O);
% Annotate the layers
\node[annot,above of=H-1, node distance=1cm] (hl) {Hidden layer};
\node[annot,left of=hl] {Input layer};
\node[annot,right of=hl] {Output layer};
\caption{bollocks}
\end{tikzpicture}
% End of code
\end{document}