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| View Original: | Standard part function with two continua.svg (644x435) | |||
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| Keywords: Standard part function with two continua.svg The standard part function mapping hyperreal numbers from an infinitesimal-enriched continuum to their standard parts in a classical one Self-made; converted to SVG using <code>latex st tex dvisvgm -n -c1 75 st dvi</code> 30th of December 2013 User Kephir TeX source <source lang latex > \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 \drawblue 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 \drawred -> 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 </source> SVG mathematics Standard part function Hyperreal numbers Cc-zero | ||||
