Difference between revisions of "File:Doya1T.jpg"
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+ | Explicit plot of [[Doya function]] and two its polynomial approximations at zero; |
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− | Importing image file |
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+ | |||
+ | $y=\mathrm{Doya}(x)$ |
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+ | |||
+ | $y=\mathrm e x$ |
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+ | |||
+ | $y=\mathrm e x - \mathrm e(\mathrm e \!-\!1) x^2$ |
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+ | |||
+ | ==[[C++]] generator of curces== |
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+ | |||
+ | Files [[ado.cin]] and [[doya.cin]] should be loaded into the working directory 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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+ | DB ArcTania(DB x){ return x+log(x)-1.;} |
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+ | #include "ado.cin" |
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+ | #include "doya.cin" |
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+ | #define M(x,y) fprintf(o,"%7.4f %7.4f M\n",0.+x,0.+y); |
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+ | #define L(x,y) fprintf(o,"%7.4f %7.4f L\n",0.+x,0.+y); |
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+ | int main(){ int j,k,m,n; DB x,y,t,e, a; z_type z; |
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+ | FILE *o;o=fopen("doyaplot1.eps","w");ado(o,208,308); |
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+ | fprintf(o,"4 4 translate\n 100 100 scale\n"); |
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+ | fprintf(o,"2 setlinecap\n"); |
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+ | for(m=0;m<3;m++){ M(m,0)L(m,3)} |
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+ | for(n=0;n<4;n++){ M(0,n)L(2,n)} |
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+ | fprintf(o,".004 W 0 0 0 RGB S\n"); |
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+ | fprintf(o,"2 setlinejoin 1 setlinecap\n"); |
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+ | M(0,0); for(n=1;n<151;n++){x=.02*n;z=x;y=Re(Doya(1.,z)); L(x,y)} |
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+ | fprintf(o,".02 W 0 .8 0 RGB S\n"); |
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+ | |||
+ | M(0,0); for(n=1;n<58;n++){x=.01*n; y=M_E*x*(1.-x*(M_E-1.)) ; L(x,y)} |
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+ | fprintf(o,".005 W .8 0 0 RGB S\n"); |
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+ | |||
+ | M(0,0) L(3./M_E,3.) fprintf(o,".005 W 0 0 .8 RGB S\n"); |
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+ | |||
+ | //M(0,0); for(n=0;n<110;n++){x=.01+.01*n; y=M_E*x*(1.+x*(1.-M_E + x*(.5+M_E*(-2.+M_E*1.5)))) ; L(x,y)} |
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+ | |||
+ | fprintf(o,"showpage\n%cTrailer",'%'); fclose(o); |
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+ | system("epstopdf doyaplot1.eps"); |
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+ | system( "open doyaplot1.pdf"); //these 2 commands may be specific for macintosh |
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+ | getchar(); system("killall Preview");// if run at another operational sysetm, may need to modify |
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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{geometry} |
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+ | \usepackage{graphicx} |
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+ | \usepackage{rotating} |
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+ | \paperwidth 214pt |
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+ | \paperheight 320pt |
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+ | \topmargin -100pt |
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+ | \oddsidemargin -83pt |
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+ | \textwidth 1200pt |
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+ | \textheight 600pt |
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+ | \pagestyle {empty} |
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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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+ | \newcommand \ing {\includegraphics} |
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+ | \begin{document} |
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+ | \begin{picture}(200,298) |
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+ | \put(0,0){\ing{doyaplot1}} |
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+ | \put(-7,298){\sx{1.6}{$y$}} |
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+ | %\put(-36,300){\sx{1.7}{$T(z)$}} |
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+ | \put(-7,200){\sx{1.6}{$2$}} |
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+ | \put(-7,100){\sx{1.6}{$1$}} |
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+ | \put(0,-11){\sx{1.6}{0}} |
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+ | \put(100,-11){\sx{1.6}{1}} |
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+ | \put(197,-11){\sx{1.6}{$x$}} |
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+ | \put( 38,110){\rot{70}{\sx{1.7}{$y=\mathrm e\, x$}}\ero} |
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+ | %\put( 58,110){\rot{55}{\sx{1.7}{$y=T(z)$}}\ero} |
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+ | \put( 58,110){\rot{53}{\sx{1.7}{$y=\mathrm{Doya}(x)$}}\ero} |
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+ | \put( 26,30){\sx{1.6}{$y=\mathrm e\, z - \mathrm e (\mathrm e\!-\!1) x^2$}} |
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+ | \end{picture} |
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+ | \end{document} |
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+ | </nowiki></nomathjax></poem> |
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+ | |||
+ | [[Category:Book]] |
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+ | [[Category:BookPlot]] |
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+ | [[Category:Explicit plot]] |
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+ | [[Category:Doya function]] |
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+ | [[Category:C++]] |
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+ | [[Category:Latex]] |
Latest revision as of 08:34, 1 December 2018
Explicit plot of Doya function and two its polynomial approximations at zero;
$y=\mathrm{Doya}(x)$
$y=\mathrm e x$
$y=\mathrm e x - \mathrm e(\mathrm e \!-\!1) x^2$
C++ generator of curces
Files ado.cin and doya.cin should be loaded into the working directory 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.)
DB ArcTania(DB x){ return x+log(x)-1.;}
#include "ado.cin"
#include "doya.cin"
#define M(x,y) fprintf(o,"%7.4f %7.4f M\n",0.+x,0.+y);
#define L(x,y) fprintf(o,"%7.4f %7.4f L\n",0.+x,0.+y);
int main(){ int j,k,m,n; DB x,y,t,e, a; z_type z;
FILE *o;o=fopen("doyaplot1.eps","w");ado(o,208,308);
fprintf(o,"4 4 translate\n 100 100 scale\n");
fprintf(o,"2 setlinecap\n");
for(m=0;m<3;m++){ M(m,0)L(m,3)}
for(n=0;n<4;n++){ M(0,n)L(2,n)}
fprintf(o,".004 W 0 0 0 RGB S\n");
fprintf(o,"2 setlinejoin 1 setlinecap\n");
M(0,0); for(n=1;n<151;n++){x=.02*n;z=x;y=Re(Doya(1.,z)); L(x,y)}
fprintf(o,".02 W 0 .8 0 RGB S\n");
M(0,0); for(n=1;n<58;n++){x=.01*n; y=M_E*x*(1.-x*(M_E-1.)) ; L(x,y)}
fprintf(o,".005 W .8 0 0 RGB S\n");
M(0,0) L(3./M_E,3.) fprintf(o,".005 W 0 0 .8 RGB S\n");
//M(0,0); for(n=0;n<110;n++){x=.01+.01*n; y=M_E*x*(1.+x*(1.-M_E + x*(.5+M_E*(-2.+M_E*1.5)))) ; L(x,y)}
fprintf(o,"showpage\n%cTrailer",'%'); fclose(o);
system("epstopdf doyaplot1.eps");
system( "open doyaplot1.pdf"); //these 2 commands may be specific for macintosh
getchar(); system("killall Preview");// if run at another operational sysetm, may need to modify
}
Latex generator of labels
\documentclass[12pt]{article}
\usepackage{geometry}
\usepackage{graphicx}
\usepackage{rotating}
\paperwidth 214pt
\paperheight 320pt
\topmargin -100pt
\oddsidemargin -83pt
\textwidth 1200pt
\textheight 600pt
\pagestyle {empty}
\newcommand \sx {\scalebox}
\newcommand \rot {\begin{rotate}}
\newcommand \ero {\end{rotate}}
\newcommand \ing {\includegraphics}
\begin{document}
\begin{picture}(200,298)
\put(0,0){\ing{doyaplot1}}
\put(-7,298){\sx{1.6}{$y$}}
%\put(-36,300){\sx{1.7}{$T(z)$}}
\put(-7,200){\sx{1.6}{$2$}}
\put(-7,100){\sx{1.6}{$1$}}
\put(0,-11){\sx{1.6}{0}}
\put(100,-11){\sx{1.6}{1}}
\put(197,-11){\sx{1.6}{$x$}}
\put( 38,110){\rot{70}{\sx{1.7}{$y=\mathrm e\, x$}}\ero}
%\put( 58,110){\rot{55}{\sx{1.7}{$y=T(z)$}}\ero}
\put( 58,110){\rot{53}{\sx{1.7}{$y=\mathrm{Doya}(x)$}}\ero}
\put( 26,30){\sx{1.6}{$y=\mathrm e\, z - \mathrm e (\mathrm e\!-\!1) x^2$}}
\end{picture}
\end{document}
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Date/Time | Thumbnail | Dimensions | User | Comment | |
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current | 06:11, 1 December 2018 | 888 × 1,328 (117 KB) | Maintenance script (talk | contribs) | Importing image file |
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