From 083feab0f9542f4e6e01c51c1beb6878f2f70b2f Mon Sep 17 00:00:00 2001 From: =?UTF-8?q?Andreas=20M=C3=BCller?= Date: Sun, 2 Jan 2022 12:35:36 +0100 Subject: new images --- buch/chapters/010-potenzen/images/Makefile | 9 +++ buch/chapters/010-potenzen/images/wurzel.pdf | Bin 0 -> 23999 bytes buch/chapters/010-potenzen/images/wurzel.tex | 98 +++++++++++++++++++++++++++ 3 files changed, 107 insertions(+) create mode 100644 buch/chapters/010-potenzen/images/Makefile create mode 100644 buch/chapters/010-potenzen/images/wurzel.pdf create mode 100644 buch/chapters/010-potenzen/images/wurzel.tex (limited to 'buch/chapters/010-potenzen/images') diff --git a/buch/chapters/010-potenzen/images/Makefile b/buch/chapters/010-potenzen/images/Makefile new file mode 100644 index 0000000..a4b4f0d --- /dev/null +++ b/buch/chapters/010-potenzen/images/Makefile @@ -0,0 +1,9 @@ +# +# Makefile +# +# (c) 2021 Prof Dr Andreas Müller, OST Ostschweizer Fachhochschule +# +all: wurzel.pdf + +wurzel.pdf: wurzel.tex + pdflatex wurzel.tex diff --git a/buch/chapters/010-potenzen/images/wurzel.pdf b/buch/chapters/010-potenzen/images/wurzel.pdf new file mode 100644 index 0000000..108ac16 Binary files /dev/null and b/buch/chapters/010-potenzen/images/wurzel.pdf differ diff --git a/buch/chapters/010-potenzen/images/wurzel.tex b/buch/chapters/010-potenzen/images/wurzel.tex new file mode 100644 index 0000000..aba9aa2 --- /dev/null +++ b/buch/chapters/010-potenzen/images/wurzel.tex @@ -0,0 +1,98 @@ +% +% tikztemplate.tex -- template for standalon tikz images +% +% (c) 2021 Prof Dr Andreas Müller, OST Ostschweizer Fachhochschule +% +\documentclass[tikz]{standalone} +\usepackage{amsmath} +\usepackage{times} +\usepackage{txfonts} +\usepackage{pgfplots} +\usepackage{csvsimple} +\usetikzlibrary{arrows,intersections,math} +\begin{document} +\def\skala{4} +\definecolor{darkgreen}{rgb}{0,0.6,0} +\begin{tikzpicture}[>=latex,thick,scale=\skala] +\def\n{8} + +\fill[color=gray!20] (-1.1,-1.1) rectangle (2.1,2.1); +\fill[color=white] (-1.11,-1.11) rectangle (0,0); +\fill[color=white] (0,0) rectangle (1,1); +\fill[color=white] (1,1) rectangle (2.22,2.22); + +\draw[->] (-1.1,0) -- (2.3,0) coordinate[label={$x$}]; +\draw[->] (0,-1.1) -- (0,2.3) coordinate[label={left:$y$}]; + +\draw[color=gray!50,line width=1pt] (-1.1,-1.1) -- (2.2,2.2); + +\begin{scope} +\clip (-1.1,-1.1) rectangle (2.1,2.1); + +\draw[color=red!40,line width=1.4pt] + plot[domain=0:2.2,samples=100] ({\x},{\x*\x}); +\draw[color=red,line width=1.4pt] + plot[domain=0:2.2,samples=100] ({\x*\x},{\x}); + +\draw[color=blue!40,line width=1.4pt] + plot[domain=-1.1:2.2,samples=100] ({\x},{\x*\x*\x}); +\draw[color=blue,line width=1.4pt] + plot[domain=-1.1:2.2,samples=100] ({\x*\x*\x},{\x}); + +\draw[color=darkgreen!40,line width=1.4pt] + (0,0) + -- + plot[domain=-3:0.1,samples=100] ({exp(\x)},{exp(2*\n*\x)}); +\draw[color=darkgreen,line width=1.4pt] + (0,0) + -- + plot[domain=-3:0.1,samples=100] ({exp(2*\n*\x)},{exp(\x)}); + +\draw[color=orange!40,line width=1.4pt] + plot[domain=0.02:-2,samples=100] ({-exp(\x)},{-exp((2*\n+11)*\x)}) + -- + (0,0) + -- + plot[domain=-2:0.05,samples=100] ({exp(\x)},{exp((2*\n+11)*\x)}); +\draw[color=orange,line width=1.4pt] + plot[domain=0.02:-2,samples=100] ({-exp((2*\n+11)*\x)},{-exp(\x)}) + -- + (0,0) + -- + plot[domain=-2:0.05,samples=100] ({exp((2*\n+11)*\x)},{exp(\x)}); + +\end{scope} + +\draw (-1,{0.1/\skala}) -- (-1,{-0.1/\skala}); +\node at (-1,{0.1/\skala}) [above] {$-1$}; +\draw (1,{0.1/\skala}) -- (1,{-0.1/\skala}); +\node at (1,{-0.1/\skala}) [below] {$1$}; +\draw (2,{0.1/\skala}) -- (2,{-0.1/\skala}); +\node at (2,{-0.1/\skala}) [below] {$2$}; + +\draw ({-0.1/\skala},-1) -- ({0.1/\skala},-1); +\node at ({0.1/\skala},-1) [right] {$-1$}; +\draw ({-0.1/\skala},1) -- ({0.1/\skala},1); +\node at ({-0.1/\skala},1) [left] {$1$}; +\draw ({-0.1/\skala},2) -- ({0.1/\skala},2); +\node at ({-0.1/\skala},2) [left] {$2$}; + +\node at (0,0) [below right] {$0$}; + +\node[color=orange] at (1.05,2.1) [above left] {$x^{27}$}; +\node[color=darkgreen] at (1.03,2.1) [above right] {$x^{16}$}; +\node[color=blue] at (1.30,2.1) [above] {$x^3$}; +\node[color=red] at ({sqrt(2.1)-0.04},2.1) [above right] {$x^2$}; + +\node[color=orange] at (2.05,1.04) [below right] + {$\root{27}\of{x\mathstrut}$}; +\node[color=darkgreen] at (2.05,1.03) [above right] + {$\root{16}\of{x\mathstrut}$}; +\node[color=blue] at (2.07,1.28) [right] + {$\root{3}\of{x\mathstrut}$}; +\node[color=red] at (2.05,{sqrt(2.05)-0.02}) [above right] + {$\sqrt{x\mathstrut}$}; + +\end{tikzpicture} +\end{document} + -- cgit v1.2.1