File:Standard part function with two continua.svg
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Original file (SVG file, nominally 646 × 436 pixels, file size: 16 KB)
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Summary
| Description |
English: The standard part function mapping hyperreal numbers from an infinitesimal-enriched continuum to their standard parts in a classical one. |
| Date | |
| Source |
Self-made; converted to SVG using latex st.tex && dvisvgm -n -c1.75 st.dvi. |
| Author | User:Kephir |
TeX source
\documentclass{article}
\usepackage{amsmath}
\usepackage{amsfonts}
\usepackage{tikz}
\usepackage{scalefnt}
\begin{document}
\pagestyle{empty}
\def\lineticktop#1#2{
\draw[-] ({#1},3.075) node [anchor=south] {#2} -- (#1,2.925) ;
}
\def\linetickbot#1#2{
\draw[-] ({#1},-0.075) node [anchor=north] {#2} -- (#1,0.075) ;
}
\def\microscope#1{
\draw [thick,- ] (#1 -0.25,2.15) -- (#1+0,3) -- (#1 +0.25,2.15) ;
\draw [thick,fill=white] (#1 +0.00,1.50) circle (1) ;
\fill [white ] (#1 -0.25,2.15) -- (#1+0,3) -- (#1 +0.25,2.15) ;
\draw [thick,blue,-> ](#1-0.95,1.5) -- (#1+0.95,1.5) ;
}
\def\microtick#1#2#3#4#5#6{
\draw [-,#5] (#1+0.375*#2,1.5+#3) node [anchor=#6,font=\small] {#4} -- (#1+0.375*#2,1.5-#3) ;
\draw [red,thin] (#1+0.375*#2,1.3) to [out=-90,in=90] (#1+0.00,0.6);
}
\begin {tikzpicture} [scale=2]
\draw[blue,thick,->] (-1.1,3) -- (4.1,3) coordinate (x axis);
\microscope {1.41}
\microtick {1.41}{-0.2}{0.1}{$r$}{}{south}
\microtick {1.41}{ 0.7}{0.05}{\tiny $r+\epsilon$}{blue}{south}
\microtick {1.41}{ 2.1}{0.05}{\tiny $r+\gamma$} {blue}{south}
\microtick {1.41}{-1.7}{0.05}{\tiny $r+\eta$} {blue}{south}
\draw[red,->] (1.41,0.6) -- (1.41,0.325) node [anchor=west] {$\scriptstyle \operatorname{st}$} -- (1.41,0.15) ;
\lineticktop{-1}{$-1$}
\linetickbot{-1}{$-1$}
\lineticktop{ 0}{$ 0$}
\linetickbot{ 0}{$ 0$}
\lineticktop{+1}{$ 1$}
\linetickbot{+1}{$ 1$}
\lineticktop{+2}{$ 2$}
\linetickbot{+2}{$ 2$}
\lineticktop{+3}{$ 3$}
\linetickbot{+3}{$ 3$}
\lineticktop{+4}{$ 4$}
\linetickbot{+4}{$ 4$}
\lineticktop{+1.41}{}
\linetickbot{+1.41}{$ r$}
\draw[->] (-1.1,0) -- (4.1,0) coordinate (x axis);
\end {tikzpicture}
\end{document}
Licensing
I, the copyright holder of this work, hereby publish it under the following license:
 
|
This file is made available under the Creative Commons CC0 1.0 Universal Public Domain Dedication. |
| The person who associated a work with this deed has dedicated the work to the public domain by waiving all of their rights to the work worldwide under copyright law, including all related and neighboring rights, to the extent allowed by law. You can copy, modify, distribute and perform the work, even for commercial purposes, all without asking permission.
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File history
Click on a date/time to view the file as it appeared at that time.
| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 16:56, 30 December 2013 | | 646 × 436 (16 KB) | Kephir | == {{int:filedesc}} == {{Information |Description={{en|The standard part function mapping hyperreal numbers from an infinitesimal-enriched continuum to their standard parts in a classical one.}} |Source=Self-made; converted... |
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