Difference between revisions of "File:Nemplot.jpg"
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| + | [[Explicit plot]] of the [[Nemtsov function]] $\mathrm{Nem}_q(z)=z+z^3+qz^4$: |
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| − | Importing image file |
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| + | |||
| + | $y=\mathrm{Nem}_q(z)$ versus $x$ for various $q$. |
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| + | |||
| + | ==References== |
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| + | <references/> |
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| + | |||
| + | [[Category:Book]] |
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| + | [[Category:BookPlot]] |
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| + | [[Category:C++]] |
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| + | [[Category:Explicit plot]] |
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| + | [[Category:Latex]] |
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| + | [[Category:Nemtsov function]] |
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| + | |||
| + | ==[[C++]] generator of the curves== |
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| + | |||
| + | File [[ado.cin]], [[conto.cin]] should be loaded in order to compile the code below: |
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| + | <poem><nomathjax><nowiki> |
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| + | #include <math.h> |
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| + | #include <stdio.h> |
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| + | #include <stdlib.h> |
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| + | #define DB double |
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| + | #define DO(x,y) for(x=0;x<y;x++) |
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| + | //using namespace std; |
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| + | #include <complex> |
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| + | typedef std::complex<double> z_type; |
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| + | #define Re(x) x.real() |
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| + | #define Im(x) x.imag() |
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| + | #define I z_type(0.,1.) |
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| + | #include "conto.cin" |
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| + | |||
| + | //#include "aunem.cin" |
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| + | |||
| + | int main(){ int Max; int j,k,m,n; DB x,y, p,q, t,tr,ti; z_type z,c,d; |
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| + | |||
| + | DB P=1 ; DB Q=.5; |
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| + | FILE *o;o=fopen("nemplo.eps","w");ado(o,402,1002); |
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| + | fprintf(o,"201 501 translate\n 100 100 scale 2 setlinecap\n"); |
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| + | for(m=-2;m<3;m++){M(m,-5)L(m,5)} |
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| + | for(n=-5;n<6;n++){M(-2,n)L(2,n)} |
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| + | fprintf(o,".006 W 0 0 0 RGB 2 setlinecap S 1 setlinejoin\n"); |
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| + | |||
| + | q=0.; DO(m,401){x=-2+.01*m; y=x*(1.+x*x*(1.+q*x)); if(m==0) M(x,y) else L(x,y) ; } |
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| + | fprintf(o,".02 W 0 0 0 RGB S\n"); |
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| + | q=.5; DO(m,401){x=-2+.01*m; y=x*(1.+x*x*(1.+q*x)); if(m==0) M(x,y) else L(x,y); if(x>0 && y>6) break; } |
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| + | fprintf(o,".02 W 1 0 0 RGB S\n"); |
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| + | q=1.; DO(m,401){x=-2+.01*m; y=x*(1.+x*x*(1.+q*x)); if(m==0) M(x,y) else L(x,y); if(x>0 && y>6) break; } |
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| + | fprintf(o,".02 W 0 .8 0 RGB S\n"); |
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| + | q=2.; DO(m,401){x=-1.5+.01*m; y=x*(1.+x*x*(1.+q*x)); if(m==0) M(x,y) else L(x,y) ; if(x>0 && y>6) break;} |
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| + | fprintf(o,".02 W 0 0 1 RGB S\n"); |
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| + | |||
| + | fprintf(o,"showpage\n%cTrailer",'%'); fclose(o); |
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| + | system("epstopdf nemplo.eps"); |
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| + | system( "open nemplo.pdf"); //mac |
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| + | |||
| + | //getchar(); system("killall Preview");// mac |
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| + | |||
| + | return 0; |
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| + | } |
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| + | </nowiki></nomathjax></poem> |
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| + | |||
| + | ==[[Latex]] generator of labels== |
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| + | |||
| + | <poem><nomathjax><nowiki> |
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| + | \documentclass[12pt]{article} |
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| + | \usepackage{graphics} |
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| + | \paperwidth 404pt |
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| + | \paperheight 1006pt |
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| + | \usepackage{geometry} |
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| + | \usepackage{rotating} |
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| + | \textwidth 1260pt |
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| + | \textheight 1260pt |
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| + | \topmargin -106pt |
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| + | \oddsidemargin -74pt |
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| + | \parindent 0pt |
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| + | \pagestyle{empty} |
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| + | \newcommand \ing {\includegraphics} |
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| + | \newcommand \sx {\scalebox} |
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| + | \newcommand \rot {\begin{rotate}} |
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| + | \newcommand \ero {\end{rotate}} |
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| + | \begin{document} |
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| + | \begin{picture}(404,1004) |
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| + | %\put(24,20){\ing{arqne114}} |
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| + | %\put(50,40){\ing{sunem10q10ma6a}} |
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| + | %\put(50,40){\ing{sunem10q10ma6s}} |
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| + | %\put(24,20){\ing{aunem11mb}} |
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| + | \put(2,2){\ing{nemplo}} |
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| + | \put(176,990){\sx{3}{$y$}} |
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| + | \put(176,895){\sx{3}{$4$}} |
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| + | \put(176,795){\sx{3}{$3$}} |
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| + | \put(176,695){\sx{3}{$2$}} |
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| + | \put(176,595){\sx{3}{$1$}} |
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| + | \put(176,495){\sx{3}{$0$}} |
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| + | \put(156,395){\sx{3}{$-1$}} |
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| + | \put(156,295){\sx{3}{$-2$}} |
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| + | \put(156,195){\sx{3}{$-3$}} |
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| + | \put(156, 95){\sx{3}{$-4$}} |
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| + | %\put(156,395){\sx{3}{$-5$}} |
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| + | \put(82,476){\sx{3}{$-1$}} |
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| + | \put(196,476){\sx{3}{$0$}} |
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| + | \put(296,476){\sx{3}{$1$}} |
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| + | \put(385,476){\sx{3}{$x$}} |
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| + | \put(70,888){\sx{3}{\rot{-87} $q\!=\!2$\ero}} |
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| + | %\put(70,688){\sx{3}{\rot{-87} $q\!=\!2$\ero}} |
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| + | \put(40,490){\sx{3}{\rot{-79} $q\!=\!1$\ero}} |
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| + | \put(54,280){\sx{3}{\rot{60} $q\!=\!0.5$\ero}} |
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| + | %\put(90,108){\sx{3}{\rot{80} $q\!=\!0$\ero}} |
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| + | %\put(60,18){\sx{3}{\rot{80} $q\!=\!0$\ero}} |
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| + | \put(46,18){\sx{3}{\rot{80} $q\!=\!0$\ero}} |
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| + | % |
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| + | \put(294,916){\sx{3}{\rot{80} $q\!=\!2$\ero}} |
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| + | \put(368,916){\sx{3}{\rot{80} $q\!=\!0$\ero}} |
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| + | \end{picture} |
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| + | \end{document} |
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| + | </nowiki></nomathjax></poem> |
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Latest revision as of 08:44, 1 December 2018
Explicit plot of the Nemtsov function $\mathrm{Nem}_q(z)=z+z^3+qz^4$:
$y=\mathrm{Nem}_q(z)$ versus $x$ for various $q$.
References
C++ generator of the curves
File ado.cin, conto.cin should be loaded in order to compile the code below:
#include <math.h>
#include <stdio.h>
#include <stdlib.h>
#define DB double
#define DO(x,y) for(x=0;x<y;x++)
//using namespace std;
#include <complex>
typedef std::complex<double> z_type;
#define Re(x) x.real()
#define Im(x) x.imag()
#define I z_type(0.,1.)
#include "conto.cin"
//#include "aunem.cin"
int main(){ int Max; int j,k,m,n; DB x,y, p,q, t,tr,ti; z_type z,c,d;
DB P=1 ; DB Q=.5;
FILE *o;o=fopen("nemplo.eps","w");ado(o,402,1002);
fprintf(o,"201 501 translate\n 100 100 scale 2 setlinecap\n");
for(m=-2;m<3;m++){M(m,-5)L(m,5)}
for(n=-5;n<6;n++){M(-2,n)L(2,n)}
fprintf(o,".006 W 0 0 0 RGB 2 setlinecap S 1 setlinejoin\n");
q=0.; DO(m,401){x=-2+.01*m; y=x*(1.+x*x*(1.+q*x)); if(m==0) M(x,y) else L(x,y) ; }
fprintf(o,".02 W 0 0 0 RGB S\n");
q=.5; DO(m,401){x=-2+.01*m; y=x*(1.+x*x*(1.+q*x)); if(m==0) M(x,y) else L(x,y); if(x>0 && y>6) break; }
fprintf(o,".02 W 1 0 0 RGB S\n");
q=1.; DO(m,401){x=-2+.01*m; y=x*(1.+x*x*(1.+q*x)); if(m==0) M(x,y) else L(x,y); if(x>0 && y>6) break; }
fprintf(o,".02 W 0 .8 0 RGB S\n");
q=2.; DO(m,401){x=-1.5+.01*m; y=x*(1.+x*x*(1.+q*x)); if(m==0) M(x,y) else L(x,y) ; if(x>0 && y>6) break;}
fprintf(o,".02 W 0 0 1 RGB S\n");
fprintf(o,"showpage\n%cTrailer",'%'); fclose(o);
system("epstopdf nemplo.eps");
system( "open nemplo.pdf"); //mac
//getchar(); system("killall Preview");// mac
return 0;
}
Latex generator of labels
\documentclass[12pt]{article}
\usepackage{graphics}
\paperwidth 404pt
\paperheight 1006pt
\usepackage{geometry}
\usepackage{rotating}
\textwidth 1260pt
\textheight 1260pt
\topmargin -106pt
\oddsidemargin -74pt
\parindent 0pt
\pagestyle{empty}
\newcommand \ing {\includegraphics}
\newcommand \sx {\scalebox}
\newcommand \rot {\begin{rotate}}
\newcommand \ero {\end{rotate}}
\begin{document}
\begin{picture}(404,1004)
%\put(24,20){\ing{arqne114}}
%\put(50,40){\ing{sunem10q10ma6a}}
%\put(50,40){\ing{sunem10q10ma6s}}
%\put(24,20){\ing{aunem11mb}}
\put(2,2){\ing{nemplo}}
\put(176,990){\sx{3}{$y$}}
\put(176,895){\sx{3}{$4$}}
\put(176,795){\sx{3}{$3$}}
\put(176,695){\sx{3}{$2$}}
\put(176,595){\sx{3}{$1$}}
\put(176,495){\sx{3}{$0$}}
\put(156,395){\sx{3}{$-1$}}
\put(156,295){\sx{3}{$-2$}}
\put(156,195){\sx{3}{$-3$}}
\put(156, 95){\sx{3}{$-4$}}
%\put(156,395){\sx{3}{$-5$}}
\put(82,476){\sx{3}{$-1$}}
\put(196,476){\sx{3}{$0$}}
\put(296,476){\sx{3}{$1$}}
\put(385,476){\sx{3}{$x$}}
\put(70,888){\sx{3}{\rot{-87} $q\!=\!2$\ero}}
%\put(70,688){\sx{3}{\rot{-87} $q\!=\!2$\ero}}
\put(40,490){\sx{3}{\rot{-79} $q\!=\!1$\ero}}
\put(54,280){\sx{3}{\rot{60} $q\!=\!0.5$\ero}}
%\put(90,108){\sx{3}{\rot{80} $q\!=\!0$\ero}}
%\put(60,18){\sx{3}{\rot{80} $q\!=\!0$\ero}}
\put(46,18){\sx{3}{\rot{80} $q\!=\!0$\ero}}
%
\put(294,916){\sx{3}{\rot{80} $q\!=\!2$\ero}}
\put(368,916){\sx{3}{\rot{80} $q\!=\!0$\ero}}
\end{picture}
\end{document}
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| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 06:13, 1 December 2018 |  | 838 × 2,088 (129 KB) | Maintenance script (talk | contribs) | Importing image file |
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