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| Keywords: Standard part function.svg The standard part function red which maps limited hyperreals blue to their standard parts black Not pictured the mapping of standard real numbers to themselves Self-made; converted to SVG using <code>latex st tex dvisvgm -n -c1 75 st dvi</code> 28th 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\linetick 1 2 \draw- 1 3 075 node anchor south 2 -- 1 2 925 ; \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 \draw - 4 1+0 375 2 1 6 node anchor 5 font \small 3 -- 1+0 375 2 1 4 ; \def\microhookright 1 2 3 4 5 \draw -> 5 1+0 375 2 1 3 to out 210 in -30 1+0 375 3+0 05 1 3 ; \node anchor north 5 at 1+0 375 2+ 3 /2+0 05 1 3-abs 3- 2 /20 4 ; \def\microhookleft 1 2 3 4 5 \draw -> 5 1+0 375 2 1 3 to out -30 in 210 1+0 375 3-0 05 1 3 ; \node anchor north 5 at 1+0 375 2+ 3 /2-0 05 1 3-abs 3- 2 /20 4 ; \begin tikzpicture scale 2 \drawblue thick -> -3 1 3 -- 4 1 3 coordinate x axis ; \linetick -3 -3 \linetick -2 -2 \linetick -1 -1 \linetick 0 0 \linetick +1 1 \linetick +2 2 \linetick +2 71 r \linetick +3 3 \linetick +4 4 \microscope 2 71 \microtick 2 71 -2 \tiny r-2\epsilon blue south \microtick 2 71 -1 \tiny r- \epsilon blue south \microtick 2 71 0 r south \microtick 2 71 1 \tiny r+ \epsilon blue south \microtick 2 71 2 \tiny r+2\epsilon blue south \microhookleft 2 71 -2 0 \scriptsize \operatorname st red \microhookleft 2 71 -1 0 red \microhookright 2 71 1 0 red \microhookright 2 71 2 0 \scriptsize \operatorname st red \microscope -1 \microtick -1 -0 3 -1 south \microtick -1 0 7 \tiny -1+\epsilon blue south \microtick -1 1 9 \tiny -1+\gamma blue south \microtick -1 -1 7 \tiny -1+\eta blue south \microhookleft -1 -1 7 -0 3 \scriptsize \operatorname st red \microhookright -1 0 7 -0 3 red \microhookright -1 1 9 -0 3 \scriptsize \operatorname st red \end tikzpicture \end document </source> SVG mathematics Standard part function Hyperreal numbers Cc-zero | ||||
