mirror of
https://github.com/MartinThoma/LaTeX-examples.git
synced 2025-04-19 11:38:05 +02:00
7740f0147f
The commands
find . -type f -name '*.md' -exec sed --in-place 's/[[:space:]]\+$//' {} \+
and
find . -type f -name '*.tex' -exec sed --in-place 's/[[:space:]]\+$//' {} \+
were used to do so.
95 lines
3.4 KiB
TeX
95 lines
3.4 KiB
TeX
\documentclass{article}
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\usepackage[pdftex,active,tightpage]{preview}
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\setlength\PreviewBorder{2mm}
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\usepackage{amssymb,amsmath}
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\usepackage{pgfplots}
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\usepackage{tikz}
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\usetikzlibrary{arrows, positioning, calc, intersections, decorations.pathreplacing}
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\newcommand\tikzmark[1]{%
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\tikz[overlay,remember picture,baseline] \coordinate [anchor=base] (#1);}
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\newcommand\DrawBrace[3]{%
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\draw [ultra thick, decorate,decoration={brace,amplitude=5pt,mirror,raise=2pt}]
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(#1) -- (#2) node [midway,xshift=23pt] {\Huge $\displaystyle #3$};
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}
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\begin{document}
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\begin{preview}
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\begin{tikzpicture}[/pgf/declare function={f=x^2;}]
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\pgfplotsset{
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right segments/.code={\pgfmathsetmacro\rightsegments{#1}},
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right segments=3,
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right/.style args={#1:#2}{
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ybar interval,
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domain=#1+((#2-#1)/\rightsegments):#2+((#2-#1)/\rightsegments),
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samples=\rightsegments+1,
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x filter/.code=\pgfmathparse{\pgfmathresult-((#2-#1)/\rightsegments)}
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}
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}
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\pgfplotsset{
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left segments/.code={\pgfmathsetmacro\leftsegments{#1}},
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left segments=3,
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left/.style args={#1:#2}{
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ybar interval,
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domain=#1:#2,
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samples=\leftsegments+1,
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x filter/.code=\pgfmathparse{\pgfmathresult}
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}
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}
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\begin{axis}[
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axis lines=middle,
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width=15cm, height=15cm, % size of the image
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grid = major,
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grid style={dashed, gray!30},
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xmin= 0, % start the diagram at this x-coordinate
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xmax= 4.3, % end the diagram at this x-coordinate
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ymin= 0, % start the diagram at this y-coordinate
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ymax=17, % end the diagram at this y-coordinate
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axis background/.style={fill=white},
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ylabel=y,
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xlabel=x,
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tick align=outside,
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tension=0.08,
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legend style={at={(0.25,0.91)}, anchor=north}]
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\addplot[ultra thick, red, samples=1000] {f};
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\addplot [
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black!80,
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fill=green,
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opacity=.3,
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left segments=4,
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left=0:4
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] {f};
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\legend{$f: \mathbb{R^+} \rightarrow \mathbb{R^+} ~~~ f(x) = x^2$};
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%\node[coordinate,label=$\delta$] at (axis cs:0.5,0) {};
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\node[coordinate,label=$\delta$] at (axis cs:1.5,0) {};
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\node[coordinate,label=$\delta$] at (axis cs:2.5,0) {};
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\node[coordinate,label=$\delta$] at (axis cs:3.5,0) {};
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\coordinate (a) at (axis cs:1,1);
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\coordinate (b) at (axis cs:2,4);
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\coordinate (c) at (axis cs:3,9);
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\coordinate (d) at (axis cs:4,16);
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\draw[ultra thick, blue,dashed](a -| current plot begin) -- (a);
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\draw[ultra thick, blue,dashed](a |- current plot begin) -- (a);
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\draw[ultra thick, blue,dashed](b -| current plot begin) -- (b);
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\draw[ultra thick, blue,dashed](b |- current plot begin) -- (b);
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\draw[ultra thick, blue,dashed](c -| current plot begin) -- (c);
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\draw[ultra thick, blue,dashed](c |- current plot begin) -- (c);
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\draw[ultra thick, blue,dashed](d -| current plot begin) -- (d);
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\draw[ultra thick, blue,dashed](d |- current plot begin) -- (d);
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\coordinate (x1) at (axis cs: 0, 1);
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\coordinate (x2) at (axis cs: 0, 4);
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\coordinate (x3) at (axis cs: 0, 9);
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\coordinate (x4) at (axis cs: 0,16);
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\DrawBrace{x1}{x2}{\varepsilon_1};
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\DrawBrace{x2}{x3}{\varepsilon_2};
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\DrawBrace{x3}{x4}{\varepsilon_3};
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\end{axis}
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\end{tikzpicture}
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\end{preview}
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\end{document}
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