misc

tikz/vector-change-direction/Makefile

@@ -0,0 +1,35 @@
+SOURCE = vector-change-direction
+DELAY = 80
+DENSITY = 300
+WIDTH = 512
+
+make:
+	pdflatex $(SOURCE).tex -output-format=pdf
+	make clean
+
+clean:
+	rm -rf  $(TARGET) *.class *.html *.log *.aux *.data *.gnuplot
+
+gif:
+	pdfcrop $(SOURCE).pdf
+	convert -verbose -delay $(DELAY) -loop 0 -density $(DENSITY) $(SOURCE)-crop.pdf $(SOURCE).gif
+	make clean
+
+png:
+	make
+	make svg
+	inkscape $(SOURCE).svg -w $(WIDTH) --export-png=$(SOURCE).png
+
+transparentGif:
+	convert $(SOURCE).pdf -transparent white result.gif
+	make clean
+
+svg:
+	make
+	#inkscape $(SOURCE).pdf --export-plain-svg=$(SOURCE).svg
+	pdf2svg $(SOURCE).pdf $(SOURCE).svg
+	# Necessary, as pdf2svg does not always create valid svgs:
+	inkscape $(SOURCE).svg --export-plain-svg=$(SOURCE).svg
+	rsvg-convert -a -w $(WIDTH) -f svg $(SOURCE).svg -o $(SOURCE)2.svg
+	inkscape $(SOURCE)2.svg --export-plain-svg=$(SOURCE).svg
+	rm $(SOURCE)2.svg

tikz/vector-change-direction/vector-change-direction.tex

@@ -0,0 +1,44 @@
+\documentclass[varwidth=true, border=2pt]{standalone}
+\usepackage{tkz-euclide}
+\usepackage{tikz}
+\usetikzlibrary{shapes, calc, shapes, arrows} 
+\usepackage{amsmath,amssymb}
+
+\usepackage{xcolor}
+\definecolor{xvectorcolor}{HTML}{77933C}
+
+\begin{document}
+\usetkzobj{all}
+\begin{tikzpicture}[font=\boldmath]
+    \large
+
+    % Points
+    \coordinate (A) at (0,0) {};
+    \coordinate (B) at (2,2) {};
+    \coordinate (AB2) at (3,3) {};
+    \coordinate (C) at (5,0) {};
+
+    \node[below of=A,node distance=0.4cm] {$\scriptsize (0, 0)$};
+    \node[left of=B,node distance=0.9cm] {$\scriptsize (x_1, y_1)$};
+    \node[below of=C,node distance=0.4cm] {$\scriptsize (x_2, y_2)$};
+
+    % Draw the angles
+    % angle alpha
+    \draw[fill=green!30] (A) -- (0:0.75cm) arc (0:45:.75cm);
+    \draw (0.45cm,0.17cm) node {$\alpha$};
+
+    % angle beta
+    \tkzMarkAngle[arc=l,size=0.7cm,color=blue,fill=blue!20](A,B,C)
+    %\draw[fill=green!30] (B) -- ($(B)!0.2!(C)$) arc (-35:-132:.75cm);
+    \draw (2.0cm, 1.6cm) node {$\beta$};
+
+    % angle gamma
+    \tkzMarkAngle[arc=l,size=0.7cm,color=red,fill=red!20](C,B,AB2)
+    \draw (2.4cm, 2.0cm) node {$\gamma$};
+
+
+    % Draw the vectors
+    \draw[ultra thick, xvectorcolor, arrows={-latex}]  (A) -- (B);
+    \draw[ultra thick, blue!80,      arrows={-latex}]  (B) -- (C);
+\end{tikzpicture}
+\end{document}

tikz/x-2-quadratic-function/Makefile

@@ -0,0 +1,31 @@
+SOURCE = x-2-quadratic-function
+DELAY = 80
+DENSITY = 300
+WIDTH = 512
+
+make:
+	pdflatex $(SOURCE).tex -output-format=pdf
+	make clean
+
+clean:
+	rm -rf  $(TARGET) *.class *.html *.log *.aux *.data *.gnuplot
+
+gif:
+	pdfcrop $(SOURCE).pdf
+	convert -verbose -delay $(DELAY) -loop 0 -density $(DENSITY) $(SOURCE)-crop.pdf $(SOURCE).gif
+	make clean
+
+png:
+	make
+	make svg
+	inkscape $(SOURCE).svg -w $(WIDTH) --export-png=$(SOURCE).png
+
+transparentGif:
+	convert $(SOURCE).pdf -transparent white result.gif
+	make clean
+
+svg:
+	#inkscape $(SOURCE).pdf --export-plain-svg=$(SOURCE).svg
+	pdf2svg $(SOURCE).pdf $(SOURCE).svg
+	# Necessary, as pdf2svg does not always create valid svgs:
+	inkscape $(SOURCE).svg --export-plain-svg=$(SOURCE).svg

tikz/x-2-quadratic-function/Readme.md

@@ -0,0 +1,3 @@
+Compiled example
+----------------
+![Example](x-2-quadratic-function.png)

tikz/x-2-quadratic-function/x-2-quadratic-function.tex

@@ -0,0 +1,57 @@
+\documentclass[varwidth=true, border=2pt]{standalone}
+
+\usepackage{pgfplots}
+\usepackage{tikz}
+\usetikzlibrary{patterns}
+
+    \tikzset{
+        hatch distance/.store in=\hatchdistance,
+        hatch distance=10pt,
+        hatch thickness/.store in=\hatchthickness,
+        hatch thickness=2pt
+    }
+
+    \makeatletter
+    \pgfdeclarepatternformonly[\hatchdistance,\hatchthickness]{flexible hatch}
+    {\pgfqpoint{0pt}{0pt}}
+    {\pgfqpoint{\hatchdistance}{\hatchdistance}}
+    {\pgfpoint{\hatchdistance-1pt}{\hatchdistance-1pt}}%
+    {
+        \pgfsetcolor{\tikz@pattern@color}
+        \pgfsetlinewidth{\hatchthickness}
+        \pgfpathmoveto{\pgfqpoint{0pt}{0pt}}
+        \pgfpathlineto{\pgfqpoint{\hatchdistance}{\hatchdistance}}
+        \pgfusepath{stroke}
+    }
+
+\begin{document}
+\begin{tikzpicture}
+    \begin{axis}[
+        legend pos=north east,
+        axis x line=middle,
+        axis y line=middle,
+        grid = major,
+        width=8cm,
+        height=8cm,
+        grid style={dashed, gray!30},
+        xmin= 0,     % start the diagram at this x-coordinate
+        xmax= 2,    % end   the diagram at this x-coordinate
+        ymin= 0,     % start the diagram at this y-coordinate
+        ymax= 2,   % end   the diagram at this y-coordinate
+        xlabel=$x$,
+        ylabel=$y$,
+        %xticklabels={-2,-1.6,...,2},
+        %yticklabels={-8,-7,...,8},
+        tick align=outside,
+        enlargelimits=true,
+        tension=0.08]
+      % plot it
+      \addplot[domain=0:2, red, thick,samples=500] {x*x};
+      \addplot[pattern=flexible hatch,
+        area legend,
+        pattern color=blue, domain=0:1,samples=500] {x*x} \closedcycle;
+      \addlegendentry{$f(x)=x^2$}
+      \addlegendentry{$\int_0^1 x^2 \mathrm{d} x$}
+    \end{axis} 
+\end{tikzpicture}
+\end{document}