File:Lognot300.jpg

#include<math.h>
#include<stdio.h>
#include <stdlib.h>
//#include <complex>
//#define DB double
#define DB float
//typedef std::complex<DB> z_type;
//#define Re(x) x.real()
//#define Im(x) x.imag()
//#define RI(x) x.real(),x.imag()
//#define I z_type(0.,1.)
#define DO(x,y) for(x=0;x<y;x++)
#include "ado.cin"
//#include"fafo.cin"

//DB F(DB x,DB t){ return exp(-x*x/(4.*t))/sqrt(t);}
//DB F(DB x){ x-=.1; return exp(-x*x*4.);}

DB distribu(DB z) { DB L=log(z); return (1./sqrt(M_PI))*exp(-L*L)/z;}

int main(){ int j,m,n, N=128; FILE *o; DB x,y;
o=fopen("logno.eps","w"); ado(o,404,104);
fprintf(o,"2 2 translate 100 100 scale\n");
#define M(x,y) fprintf(o,"%6.4f %6.4f M\n",0.+x,0.+y);
#define L(x,y) fprintf(o,"%6.4f %6.4f L\n",0.+x,0.+y);
#define o(x,y) fprintf(o,"%6.4f %6.4f o\n",0.+x,0.+y);
for(m=0;m<5;m++) { M(m,1) if(m==0) L(m,-.1) else L(m,0) }
for(n=0;n<2;n++) {M(0,n) L(4,n)} fprintf(o,".004 W S\n");
DO(m,501){x=.001+.01*m;
        y=distribu(x);
        if(m==0)M(x,y)else L(x,y);
        printf("%8.4f %8.4f\n",x,y);
        }
fprintf(o,".02 W 0 0 1 RGB S\n"); // initial
fprintf(o,"showpage\n%cTrailer",'%'); fclose(o);
printf("close o\n");
system("epstopdf logno.eps");
system( "open logno.pdf");
}

\documentclass[12pt]{article}
\usepackage{geometry}
\usepackage{graphics}
\paperwidth 410pt
\paperheight 118pt
\textwidth 420pt
\textheight 300pt
\topmargin -108pt
\oddsidemargin -73pt
\newcommand \ds {\displaystyle}
\newcommand \sx {\scalebox}
\newcommand \rme {\mathrm{e}}
\newcommand \rot {\begin{rotate}}
\newcommand \ero {\end{rotate}}
\newcommand \ing {\includegraphics}
\newcommand \rmi {\mathrm{i}}
\newcommand \iL[1] {~ \label{#1} ~{~}~{\rm [#1]}\!{\!}\!} % make labels visible
%\newcommand \iL[1] {~ \label{#1} } % hide the labels
\newcommand \be {\begin{eqnarray}}
\newcommand \ee {\end{eqnarray}}
\newcommand \eL[1] {\iL{#1} \end{eqnarray}}
\newcommand \rf[1] {(\ref{#1})}
\newcommand \JP[1] {} % Japanese is not supported
\pagestyle{empty}
\parindent 0pt
\begin{document}
\begin{picture}(410,114)
\put(6,8){\ing{logno}}
\put(0,105){\sx{1.3}{$1$}}
\put(0, 5){\sx{1.3}{$0$}}
\put(105,-2){\sx{1.3}{$1$}}
\put(205,-2){\sx{1.3}{$2$}}
\put(305,-2){\sx{1.3}{$3$}}
\put(403,-2){\sx{1.3}{$r$}}
\put(43,89){\sx{1.2}{$\displaystyle F(r)\!=\!\frac{1}{r \sqrt{\pi}} \exp\!\Big(\!-\ln(r)^2 \Big)$}}
\end{picture}
\end{document}