MLABlibrarysvnkaklikMLAB_E8magsvn

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/dokumenty/PRA1/1-Cavendish/cavedish.pdf
Cannot display: file marked as a binary type.
svn:mime-type = application/octet-stream
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/dokumenty/PRA1/1-Cavendish/cavendish.gp
1,6 → 1,5
#set terminal postscript
set terminal postscript
set samples 2000
#set output "cavendish.ps"
set key off
set xlabel "Time [s]"
set ylabel "Amplitude [mm]"
13,8 → 12,21
fi="-300"
fit f(x) "poloha1A.txt" using 1:2:3 via a,d,T,fi,s
s=950
d=0.0002
a=390
T=496
fi="-300"
set output "poloha2.ps"
fit f(x) "poloha2A.txt" using 1:2:3 via a,d,T,fi,s
fit f(x) "poloha1B.txt" using 1:2:3 via a,d,T,fi,s
plot "poloha2A.txt" using 1:2:3 with errorbars, f(x)
plot "poloha1A.txt" using 1:2:3 with errorbars, "poloha2A.txt" using 1:2:3 with errorbars, "poloha1B.txt" using 1:2:3 with errorbars, f(x)
#!ps2pdf cavedish.ps
#set output "poloha1.ps"
#fit f(x) "poloha1B.txt" using 1:2:3 via a,d,T,fi,s
#plot "poloha1B.txt" using 1:2:3 with errorbars, f(x)
#plot "poloha1A.txt" using 1:2:3 with errorbars, "poloha2A.txt" using 1:2:3 with errorbars, "poloha1B.txt" using 1:2:3 with errorbars, f(x)
#!ps2pdf poloha1.ps
!ps2pdf poloha2.ps

/dokumenty/PRA1/1-Cavendish/cavendish.pdf
Cannot display: file marked as a binary type.
svn:mime-type = application/octet-stream
Property changes:
Added: svn:mime-type
+application/octet-stream
\ No newline at end of property

/dokumenty/PRA1/1-Cavendish/cavendish.tex
0,0 → 1,79
\documentclass[12pt,a4paper,oneside]{article}
\usepackage[colorlinks=true]{hyperref}
\usepackage[utf8]{inputenc}
\usepackage[czech]{babel}
\usepackage{graphicx}
\textwidth 16cm \textheight 24.6cm
\topmargin -1.3cm
\oddsidemargin 0cm
\pagestyle{empty}
\begin{document}
\title{Cavendishův experiment}
\author{Jakub Kákona, kaklik@mlab.cz}
\date{9.11.2009}
\maketitle
\thispagestyle{empty}
\begin{abstract}
\end{abstract}
\section{Úvod}
\begin{enumerate}
\item Odvodte vztah pro výpočet chyby měření.
\item Zkontrolujte měřící aparaturu.
\item Dynamickou metodou změřte časový průběh torzních kmitů kyvadla v obou možných pozicích olověných koulí.
\item Naměřenou závislost nafitujte funkcí a zjistěte její fyzikální parametry.
\item Z takto získaných údajů dopočítejte gravitační konstantu a její chybu.
\item Výsledek srovnejte s tabulkovou hodnotou gravitační konstanty.
\end{enumerate}
\section{Postup měření}
Měření silového momentu, kterým působí dvě olověné koule na torzní kyvadlo jsme provedli tak, že koule byly nejprve umístěny křížem v blízkosti hmotností na koncích torzního kyvadla tak, aby na kyvadlo působili maximálním silovým momentem způsobeným gravitačním přitahováním. Následně jsme změřili střední polohu kyvadla dynamickou metodou. A koule prohodili tak, aby nyní působily svým silovým momentem na opačnou stranu. Po opětovném změření střední polohy jsme nyní dokázali určit silový moment, kterým koule působí na kyvadlo. Obrázky dobře popisující tento postup, jsou ve zdroji \cite{Cavendish}
\begin{figure}
\includegraphics[width=150mm]{./poloha1.pdf}
\caption{Casovy prubeh vychylky torzniho kyvadla v 1. pozici kouli.}
\end{figure}
\begin{figure}
\includegraphics[width=150mm]{./poloha2.pdf}
\caption{Casovy prubeh vychylky torzniho kyvadla v 2. pozici kouli.}
\end{figure}
Fitem naměřených dat funkcí
\begin{equation}
x=A \exp (- \delta t) \sin(2* \pi /T + \varphi)
\end{equation}
Jsme dostali žádané fyzikální parametry potřebné pro výpočet gravitační konstanty.
\begin{tabular}
\begin{table}{cc}
A & 429.751 & \pm 2.133 \\
\delta & 0.000470283 & \pm 7.339e-06 \\
T & 497.817 & \pm 0.3167 \\
\varphi & -302.227 \pm 0.005104 \\
s & = 1062.89 \pm 0.6162 \\
\caption{Vypoctene hodnoty pro prvni pozici kouli}
\end{table}
a = 254.373 +/- 0.4389 (0.1725%)
d = 0.000457669 +/- 2.783e-06 (0.6082%)
T = 498.212 +/- 0.1441 (0.02893%)
fi = -304.321 +/- 0.002424 (0.0007966%)
s = 961.297 +/- 0.1507 (0.01568%)
\end{tabular}
\section{Diskuse}
Při měření Peltierova článku by bylo asi vhodné použít kratší přívodní hadičky ke chladící lázni, jelikož voda se tak zbytečně ohřívá z původní teploty tání ledu a teplota studené strany článku se tak stává nestabilní.
\section{Závěr}
Pomocí torzních vah jsme celkem úspěšně určili gravitační konstantu s
\begin{thebibliography}{99}
\bibitem{Cavendish}{Zadání úlohy 1 - Cavendishův experiment}\\.\href{http://rumcajs.fjfi.cvut.cz/fyzport/FundKonst/Cavendish/cav.pdf}{http://rumcajs.fjfi.cvut.cz/fyzport/FundKonst/Cavendish/cav.pdf}
\end{thebibliography}
\end{document}

/dokumenty/PRA1/1-Cavendish/fit.log
154,3 → 154,1407
T -0.354 -0.148 1.000
fi -0.418 -0.205 0.837 1.000
s 0.040 -0.073 0.036 0.073 1.000
*******************************************************************************
Tue Nov 17 18:59:20 2009
FIT: data read from "poloha1A.txt" using 1:2:3
#datapoints = 62
function used for fitting: f(x)
fitted parameters initialized with current variable values
Iteration 0
WSSR : 21771.3 delta(WSSR)/WSSR : 0
delta(WSSR) : 0 limit for stopping : 1e-05
lambda : 26906.6
initial set of free parameter values
a = 390
d = 0.0002
T = 496
fi = -300
s = 950
After 8 iterations the fit converged.
final sum of squares of residuals : 13090
rel. change during last iteration : -6.37733e-06
degrees of freedom (FIT_NDF) : 57
rms of residuals (FIT_STDFIT) = sqrt(WSSR/ndf) : 15.1542
variance of residuals (reduced chisquare) = WSSR/ndf : 229.65
Final set of parameters Asymptotic Standard Error
======================= ==========================
a = 415.164 +/- 30.37 (7.315%)
d = 0.000373673 +/- 8.872e-05 (23.74%)
T = 500.425 +/- 4.134 (0.8261%)
fi = -299.787 +/- 0.07885 (0.0263%)
s = 973.781 +/- 7.373 (0.7572%)
correlation matrix of the fit parameters:
a d T fi s
a 1.000
d 0.901 1.000
T -0.259 -0.113 1.000
fi -0.306 -0.142 0.879 1.000
s -0.029 -0.118 -0.067 0.037 1.000
*******************************************************************************
Tue Nov 17 18:59:20 2009
FIT: data read from "poloha2A.txt" using 1:2:3
#datapoints = 64
function used for fitting: f(x)
fitted parameters initialized with current variable values
Iteration 0
WSSR : 1.22136e+06 delta(WSSR)/WSSR : 0
delta(WSSR) : 0 limit for stopping : 1e-05
lambda : 21052.8
initial set of free parameter values
a = 415.164
d = 0.000373673
T = 500.425
fi = -299.787
s = 973.781
After 17 iterations the fit converged.
final sum of squares of residuals : 334093
rel. change during last iteration : -9.79107e-06
degrees of freedom (FIT_NDF) : 59
rms of residuals (FIT_STDFIT) = sqrt(WSSR/ndf) : 75.2502
variance of residuals (reduced chisquare) = WSSR/ndf : 5662.6
Final set of parameters Asymptotic Standard Error
======================= ==========================
a = 415.153 +/- 8.725e+05 (2.102e+05%)
d = 0.0775612 +/- 21.79 (2.809e+04%)
T = 500.396 +/- 7.341e+05 (1.467e+05%)
fi = -304.146 +/- 1292 (424.9%)
s = 1042.02 +/- 33.32 (3.197%)
correlation matrix of the fit parameters:
a d T fi s
a 1.000
d 0.999 1.000
T 0.998 0.993 1.000
fi -1.000 -0.999 -0.998 1.000
s 0.139 0.133 0.146 -0.139 1.000
*******************************************************************************
Tue Nov 17 18:59:20 2009
FIT: data read from "poloha1B.txt" using 1:2:3
#datapoints = 64
function used for fitting: f(x)
fitted parameters initialized with current variable values
Iteration 0
WSSR : 211576 delta(WSSR)/WSSR : 0
delta(WSSR) : 0 limit for stopping : 1e-05
lambda : 18.4936
initial set of free parameter values
a = 415.153
d = 0.0775612
T = 500.396
fi = -304.146
s = 1042.02
After 11 iterations the fit converged.
final sum of squares of residuals : 7.14462
rel. change during last iteration : -8.7874e-06
degrees of freedom (FIT_NDF) : 59
rms of residuals (FIT_STDFIT) = sqrt(WSSR/ndf) : 0.347987
variance of residuals (reduced chisquare) = WSSR/ndf : 0.121095
Final set of parameters Asymptotic Standard Error
======================= ==========================
a = 254.373 +/- 0.4389 (0.1725%)
d = 0.000457669 +/- 2.783e-06 (0.6082%)
T = 498.212 +/- 0.1441 (0.02893%)
fi = -304.321 +/- 0.002424 (0.0007966%)
s = 961.297 +/- 0.1507 (0.01568%)
correlation matrix of the fit parameters:
a d T fi s
a 1.000
d 0.802 1.000
T -0.354 -0.148 1.000
fi -0.418 -0.205 0.837 1.000
s 0.040 -0.073 0.036 0.073 1.000
*******************************************************************************
Tue Nov 17 19:05:12 2009
FIT: data read from "poloha1A.txt" using 1:2:3
#datapoints = 62
function used for fitting: f(x)
fitted parameters initialized with current variable values
Iteration 0
WSSR : 21771.3 delta(WSSR)/WSSR : 0
delta(WSSR) : 0 limit for stopping : 1e-05
lambda : 26906.6
initial set of free parameter values
a = 390
d = 0.0002
T = 496
fi = -300
s = 950
After 8 iterations the fit converged.
final sum of squares of residuals : 13090
rel. change during last iteration : -6.37733e-06
degrees of freedom (FIT_NDF) : 57
rms of residuals (FIT_STDFIT) = sqrt(WSSR/ndf) : 15.1542
variance of residuals (reduced chisquare) = WSSR/ndf : 229.65
Final set of parameters Asymptotic Standard Error
======================= ==========================
a = 415.164 +/- 30.37 (7.315%)
d = 0.000373673 +/- 8.872e-05 (23.74%)
T = 500.425 +/- 4.134 (0.8261%)
fi = -299.787 +/- 0.07885 (0.0263%)
s = 973.781 +/- 7.373 (0.7572%)
correlation matrix of the fit parameters:
a d T fi s
a 1.000
d 0.901 1.000
T -0.259 -0.113 1.000
fi -0.306 -0.142 0.879 1.000
s -0.029 -0.118 -0.067 0.037 1.000
*******************************************************************************
Tue Nov 17 19:05:12 2009
FIT: data read from "poloha2A.txt" using 1:2:3
#datapoints = 64
function used for fitting: f(x)
fitted parameters initialized with current variable values
Iteration 0
WSSR : 1.22136e+06 delta(WSSR)/WSSR : 0
delta(WSSR) : 0 limit for stopping : 1e-05
lambda : 21052.8
initial set of free parameter values
a = 415.164
d = 0.000373673
T = 500.425
fi = -299.787
s = 973.781
After 17 iterations the fit converged.
final sum of squares of residuals : 334093
rel. change during last iteration : -9.79107e-06
degrees of freedom (FIT_NDF) : 59
rms of residuals (FIT_STDFIT) = sqrt(WSSR/ndf) : 75.2502
variance of residuals (reduced chisquare) = WSSR/ndf : 5662.6
Final set of parameters Asymptotic Standard Error
======================= ==========================
a = 415.153 +/- 8.725e+05 (2.102e+05%)
d = 0.0775612 +/- 21.79 (2.809e+04%)
T = 500.396 +/- 7.341e+05 (1.467e+05%)
fi = -304.146 +/- 1292 (424.9%)
s = 1042.02 +/- 33.32 (3.197%)
correlation matrix of the fit parameters:
a d T fi s
a 1.000
d 0.999 1.000
T 0.998 0.993 1.000
fi -1.000 -0.999 -0.998 1.000
s 0.139 0.133 0.146 -0.139 1.000
*******************************************************************************
Tue Nov 17 19:05:13 2009
FIT: data read from "poloha1B.txt" using 1:2:3
#datapoints = 64
function used for fitting: f(x)
fitted parameters initialized with current variable values
Iteration 0
WSSR : 211576 delta(WSSR)/WSSR : 0
delta(WSSR) : 0 limit for stopping : 1e-05
lambda : 18.4936
initial set of free parameter values
a = 415.153
d = 0.0775612
T = 500.396
fi = -304.146
s = 1042.02
After 11 iterations the fit converged.
final sum of squares of residuals : 7.14462
rel. change during last iteration : -8.7874e-06
degrees of freedom (FIT_NDF) : 59
rms of residuals (FIT_STDFIT) = sqrt(WSSR/ndf) : 0.347987
variance of residuals (reduced chisquare) = WSSR/ndf : 0.121095
Final set of parameters Asymptotic Standard Error
======================= ==========================
a = 254.373 +/- 0.4389 (0.1725%)
d = 0.000457669 +/- 2.783e-06 (0.6082%)
T = 498.212 +/- 0.1441 (0.02893%)
fi = -304.321 +/- 0.002424 (0.0007966%)
s = 961.297 +/- 0.1507 (0.01568%)
correlation matrix of the fit parameters:
a d T fi s
a 1.000
d 0.802 1.000
T -0.354 -0.148 1.000
fi -0.418 -0.205 0.837 1.000
s 0.040 -0.073 0.036 0.073 1.000
*******************************************************************************
Tue Nov 17 19:05:21 2009
FIT: data read from "poloha1A.txt" using 1:2:3
#datapoints = 62
function used for fitting: f(x)
fitted parameters initialized with current variable values
Iteration 0
WSSR : 21771.3 delta(WSSR)/WSSR : 0
delta(WSSR) : 0 limit for stopping : 1e-05
lambda : 26906.6
initial set of free parameter values
a = 390
d = 0.0002
T = 496
fi = -300
s = 950
After 8 iterations the fit converged.
final sum of squares of residuals : 13090
rel. change during last iteration : -6.37733e-06
degrees of freedom (FIT_NDF) : 57
rms of residuals (FIT_STDFIT) = sqrt(WSSR/ndf) : 15.1542
variance of residuals (reduced chisquare) = WSSR/ndf : 229.65
Final set of parameters Asymptotic Standard Error
======================= ==========================
a = 415.164 +/- 30.37 (7.315%)
d = 0.000373673 +/- 8.872e-05 (23.74%)
T = 500.425 +/- 4.134 (0.8261%)
fi = -299.787 +/- 0.07885 (0.0263%)
s = 973.781 +/- 7.373 (0.7572%)
correlation matrix of the fit parameters:
a d T fi s
a 1.000
d 0.901 1.000
T -0.259 -0.113 1.000
fi -0.306 -0.142 0.879 1.000
s -0.029 -0.118 -0.067 0.037 1.000
*******************************************************************************
Tue Nov 17 19:05:21 2009
FIT: data read from "poloha2A.txt" using 1:2:3
#datapoints = 64
function used for fitting: f(x)
fitted parameters initialized with current variable values
Iteration 0
WSSR : 1.22136e+06 delta(WSSR)/WSSR : 0
delta(WSSR) : 0 limit for stopping : 1e-05
lambda : 21052.8
initial set of free parameter values
a = 415.164
d = 0.000373673
T = 500.425
fi = -299.787
s = 973.781
After 17 iterations the fit converged.
final sum of squares of residuals : 334093
rel. change during last iteration : -9.79107e-06
degrees of freedom (FIT_NDF) : 59
rms of residuals (FIT_STDFIT) = sqrt(WSSR/ndf) : 75.2502
variance of residuals (reduced chisquare) = WSSR/ndf : 5662.6
Final set of parameters Asymptotic Standard Error
======================= ==========================
a = 415.153 +/- 8.725e+05 (2.102e+05%)
d = 0.0775612 +/- 21.79 (2.809e+04%)
T = 500.396 +/- 7.341e+05 (1.467e+05%)
fi = -304.146 +/- 1292 (424.9%)
s = 1042.02 +/- 33.32 (3.197%)
correlation matrix of the fit parameters:
a d T fi s
a 1.000
d 0.999 1.000
T 0.998 0.993 1.000
fi -1.000 -0.999 -0.998 1.000
s 0.139 0.133 0.146 -0.139 1.000
*******************************************************************************
Tue Nov 17 19:05:21 2009
FIT: data read from "poloha1B.txt" using 1:2:3
#datapoints = 64
function used for fitting: f(x)
fitted parameters initialized with current variable values
Iteration 0
WSSR : 211576 delta(WSSR)/WSSR : 0
delta(WSSR) : 0 limit for stopping : 1e-05
lambda : 18.4936
initial set of free parameter values
a = 415.153
d = 0.0775612
T = 500.396
fi = -304.146
s = 1042.02
After 11 iterations the fit converged.
final sum of squares of residuals : 7.14462
rel. change during last iteration : -8.7874e-06
degrees of freedom (FIT_NDF) : 59
rms of residuals (FIT_STDFIT) = sqrt(WSSR/ndf) : 0.347987
variance of residuals (reduced chisquare) = WSSR/ndf : 0.121095
Final set of parameters Asymptotic Standard Error
======================= ==========================
a = 254.373 +/- 0.4389 (0.1725%)
d = 0.000457669 +/- 2.783e-06 (0.6082%)
T = 498.212 +/- 0.1441 (0.02893%)
fi = -304.321 +/- 0.002424 (0.0007966%)
s = 961.297 +/- 0.1507 (0.01568%)
correlation matrix of the fit parameters:
a d T fi s
a 1.000
d 0.802 1.000
T -0.354 -0.148 1.000
fi -0.418 -0.205 0.837 1.000
s 0.040 -0.073 0.036 0.073 1.000
*******************************************************************************
Tue Nov 17 19:06:40 2009
FIT: data read from "poloha1A.txt" using 1:2:3
#datapoints = 62
function used for fitting: f(x)
fitted parameters initialized with current variable values
Iteration 0
WSSR : 21771.3 delta(WSSR)/WSSR : 0
delta(WSSR) : 0 limit for stopping : 1e-05
lambda : 26906.6
initial set of free parameter values
a = 390
d = 0.0002
T = 496
fi = -300
s = 950
After 8 iterations the fit converged.
final sum of squares of residuals : 13090
rel. change during last iteration : -6.37733e-06
degrees of freedom (FIT_NDF) : 57
rms of residuals (FIT_STDFIT) = sqrt(WSSR/ndf) : 15.1542
variance of residuals (reduced chisquare) = WSSR/ndf : 229.65
Final set of parameters Asymptotic Standard Error
======================= ==========================
a = 415.164 +/- 30.37 (7.315%)
d = 0.000373673 +/- 8.872e-05 (23.74%)
T = 500.425 +/- 4.134 (0.8261%)
fi = -299.787 +/- 0.07885 (0.0263%)
s = 973.781 +/- 7.373 (0.7572%)
correlation matrix of the fit parameters:
a d T fi s
a 1.000
d 0.901 1.000
T -0.259 -0.113 1.000
fi -0.306 -0.142 0.879 1.000
s -0.029 -0.118 -0.067 0.037 1.000
*******************************************************************************
Tue Nov 17 19:06:40 2009
FIT: data read from "poloha2A.txt" using 1:2:3
#datapoints = 64
function used for fitting: f(x)
fitted parameters initialized with current variable values
Iteration 0
WSSR : 1.22136e+06 delta(WSSR)/WSSR : 0
delta(WSSR) : 0 limit for stopping : 1e-05
lambda : 21052.8
initial set of free parameter values
a = 415.164
d = 0.000373673
T = 500.425
fi = -299.787
s = 973.781
After 17 iterations the fit converged.
final sum of squares of residuals : 334093
rel. change during last iteration : -9.79107e-06
degrees of freedom (FIT_NDF) : 59
rms of residuals (FIT_STDFIT) = sqrt(WSSR/ndf) : 75.2502
variance of residuals (reduced chisquare) = WSSR/ndf : 5662.6
Final set of parameters Asymptotic Standard Error
======================= ==========================
a = 415.153 +/- 8.725e+05 (2.102e+05%)
d = 0.0775612 +/- 21.79 (2.809e+04%)
T = 500.396 +/- 7.341e+05 (1.467e+05%)
fi = -304.146 +/- 1292 (424.9%)
s = 1042.02 +/- 33.32 (3.197%)
correlation matrix of the fit parameters:
a d T fi s
a 1.000
d 0.999 1.000
T 0.998 0.993 1.000
fi -1.000 -0.999 -0.998 1.000
s 0.139 0.133 0.146 -0.139 1.000
*******************************************************************************
Tue Nov 17 19:06:42 2009
FIT: data read from "poloha1A.txt" using 1:2:3
#datapoints = 62
function used for fitting: f(x)
fitted parameters initialized with current variable values
Iteration 0
WSSR : 21771.3 delta(WSSR)/WSSR : 0
delta(WSSR) : 0 limit for stopping : 1e-05
lambda : 26906.6
initial set of free parameter values
a = 390
d = 0.0002
T = 496
fi = -300
s = 950
After 8 iterations the fit converged.
final sum of squares of residuals : 13090
rel. change during last iteration : -6.37733e-06
degrees of freedom (FIT_NDF) : 57
rms of residuals (FIT_STDFIT) = sqrt(WSSR/ndf) : 15.1542
variance of residuals (reduced chisquare) = WSSR/ndf : 229.65
Final set of parameters Asymptotic Standard Error
======================= ==========================
a = 415.164 +/- 30.37 (7.315%)
d = 0.000373673 +/- 8.872e-05 (23.74%)
T = 500.425 +/- 4.134 (0.8261%)
fi = -299.787 +/- 0.07885 (0.0263%)
s = 973.781 +/- 7.373 (0.7572%)
correlation matrix of the fit parameters:
a d T fi s
a 1.000
d 0.901 1.000
T -0.259 -0.113 1.000
fi -0.306 -0.142 0.879 1.000
s -0.029 -0.118 -0.067 0.037 1.000
*******************************************************************************
Tue Nov 17 19:06:43 2009
FIT: data read from "poloha2A.txt" using 1:2:3
#datapoints = 64
function used for fitting: f(x)
fitted parameters initialized with current variable values
Iteration 0
WSSR : 1.22136e+06 delta(WSSR)/WSSR : 0
delta(WSSR) : 0 limit for stopping : 1e-05
lambda : 21052.8
initial set of free parameter values
a = 415.164
d = 0.000373673
T = 500.425
fi = -299.787
s = 973.781
After 17 iterations the fit converged.
final sum of squares of residuals : 334093
rel. change during last iteration : -9.79107e-06
degrees of freedom (FIT_NDF) : 59
rms of residuals (FIT_STDFIT) = sqrt(WSSR/ndf) : 75.2502
variance of residuals (reduced chisquare) = WSSR/ndf : 5662.6
Final set of parameters Asymptotic Standard Error
======================= ==========================
a = 415.153 +/- 8.725e+05 (2.102e+05%)
d = 0.0775612 +/- 21.79 (2.809e+04%)
T = 500.396 +/- 7.341e+05 (1.467e+05%)
fi = -304.146 +/- 1292 (424.9%)
s = 1042.02 +/- 33.32 (3.197%)
correlation matrix of the fit parameters:
a d T fi s
a 1.000
d 0.999 1.000
T 0.998 0.993 1.000
fi -1.000 -0.999 -0.998 1.000
s 0.139 0.133 0.146 -0.139 1.000
*******************************************************************************
Tue Nov 17 19:06:44 2009
FIT: data read from "poloha1A.txt" using 1:2:3
#datapoints = 62
function used for fitting: f(x)
fitted parameters initialized with current variable values
Iteration 0
WSSR : 21771.3 delta(WSSR)/WSSR : 0
delta(WSSR) : 0 limit for stopping : 1e-05
lambda : 26906.6
initial set of free parameter values
a = 390
d = 0.0002
T = 496
fi = -300
s = 950
After 8 iterations the fit converged.
final sum of squares of residuals : 13090
rel. change during last iteration : -6.37733e-06
degrees of freedom (FIT_NDF) : 57
rms of residuals (FIT_STDFIT) = sqrt(WSSR/ndf) : 15.1542
variance of residuals (reduced chisquare) = WSSR/ndf : 229.65
Final set of parameters Asymptotic Standard Error
======================= ==========================
a = 415.164 +/- 30.37 (7.315%)
d = 0.000373673 +/- 8.872e-05 (23.74%)
T = 500.425 +/- 4.134 (0.8261%)
fi = -299.787 +/- 0.07885 (0.0263%)
s = 973.781 +/- 7.373 (0.7572%)
correlation matrix of the fit parameters:
a d T fi s
a 1.000
d 0.901 1.000
T -0.259 -0.113 1.000
fi -0.306 -0.142 0.879 1.000
s -0.029 -0.118 -0.067 0.037 1.000
*******************************************************************************
Tue Nov 17 19:06:44 2009
FIT: data read from "poloha2A.txt" using 1:2:3
#datapoints = 64
function used for fitting: f(x)
fitted parameters initialized with current variable values
Iteration 0
WSSR : 1.22136e+06 delta(WSSR)/WSSR : 0
delta(WSSR) : 0 limit for stopping : 1e-05
lambda : 21052.8
initial set of free parameter values
a = 415.164
d = 0.000373673
T = 500.425
fi = -299.787
s = 973.781
After 17 iterations the fit converged.
final sum of squares of residuals : 334093
rel. change during last iteration : -9.79107e-06
degrees of freedom (FIT_NDF) : 59
rms of residuals (FIT_STDFIT) = sqrt(WSSR/ndf) : 75.2502
variance of residuals (reduced chisquare) = WSSR/ndf : 5662.6
Final set of parameters Asymptotic Standard Error
======================= ==========================
a = 415.153 +/- 8.725e+05 (2.102e+05%)
d = 0.0775612 +/- 21.79 (2.809e+04%)
T = 500.396 +/- 7.341e+05 (1.467e+05%)
fi = -304.146 +/- 1292 (424.9%)
s = 1042.02 +/- 33.32 (3.197%)
correlation matrix of the fit parameters:
a d T fi s
a 1.000
d 0.999 1.000
T 0.998 0.993 1.000
fi -1.000 -0.999 -0.998 1.000
s 0.139 0.133 0.146 -0.139 1.000
*******************************************************************************
Tue Nov 17 19:06:47 2009
FIT: data read from "poloha1A.txt" using 1:2:3
#datapoints = 62
function used for fitting: f(x)
fitted parameters initialized with current variable values
Iteration 0
WSSR : 21771.3 delta(WSSR)/WSSR : 0
delta(WSSR) : 0 limit for stopping : 1e-05
lambda : 26906.6
initial set of free parameter values
a = 390
d = 0.0002
T = 496
fi = -300
s = 950
After 8 iterations the fit converged.
final sum of squares of residuals : 13090
rel. change during last iteration : -6.37733e-06
degrees of freedom (FIT_NDF) : 57
rms of residuals (FIT_STDFIT) = sqrt(WSSR/ndf) : 15.1542
variance of residuals (reduced chisquare) = WSSR/ndf : 229.65
Final set of parameters Asymptotic Standard Error
======================= ==========================
a = 415.164 +/- 30.37 (7.315%)
d = 0.000373673 +/- 8.872e-05 (23.74%)
T = 500.425 +/- 4.134 (0.8261%)
fi = -299.787 +/- 0.07885 (0.0263%)
s = 973.781 +/- 7.373 (0.7572%)
correlation matrix of the fit parameters:
a d T fi s
a 1.000
d 0.901 1.000
T -0.259 -0.113 1.000
fi -0.306 -0.142 0.879 1.000
s -0.029 -0.118 -0.067 0.037 1.000
*******************************************************************************
Tue Nov 17 19:06:47 2009
FIT: data read from "poloha2A.txt" using 1:2:3
#datapoints = 64
function used for fitting: f(x)
fitted parameters initialized with current variable values
Iteration 0
WSSR : 1.22136e+06 delta(WSSR)/WSSR : 0
delta(WSSR) : 0 limit for stopping : 1e-05
lambda : 21052.8
initial set of free parameter values
a = 415.164
d = 0.000373673
T = 500.425
fi = -299.787
s = 973.781
After 17 iterations the fit converged.
final sum of squares of residuals : 334093
rel. change during last iteration : -9.79107e-06
degrees of freedom (FIT_NDF) : 59
rms of residuals (FIT_STDFIT) = sqrt(WSSR/ndf) : 75.2502
variance of residuals (reduced chisquare) = WSSR/ndf : 5662.6
Final set of parameters Asymptotic Standard Error
======================= ==========================
a = 415.153 +/- 8.725e+05 (2.102e+05%)
d = 0.0775612 +/- 21.79 (2.809e+04%)
T = 500.396 +/- 7.341e+05 (1.467e+05%)
fi = -304.146 +/- 1292 (424.9%)
s = 1042.02 +/- 33.32 (3.197%)
correlation matrix of the fit parameters:
a d T fi s
a 1.000
d 0.999 1.000
T 0.998 0.993 1.000
fi -1.000 -0.999 -0.998 1.000
s 0.139 0.133 0.146 -0.139 1.000
*******************************************************************************
Tue Nov 17 19:06:52 2009
FIT: data read from "poloha1A.txt" using 1:2:3
#datapoints = 62
function used for fitting: f(x)
fitted parameters initialized with current variable values
Iteration 0
WSSR : 21771.3 delta(WSSR)/WSSR : 0
delta(WSSR) : 0 limit for stopping : 1e-05
lambda : 26906.6
initial set of free parameter values
a = 390
d = 0.0002
T = 496
fi = -300
s = 950
After 8 iterations the fit converged.
final sum of squares of residuals : 13090
rel. change during last iteration : -6.37733e-06
degrees of freedom (FIT_NDF) : 57
rms of residuals (FIT_STDFIT) = sqrt(WSSR/ndf) : 15.1542
variance of residuals (reduced chisquare) = WSSR/ndf : 229.65
Final set of parameters Asymptotic Standard Error
======================= ==========================
a = 415.164 +/- 30.37 (7.315%)
d = 0.000373673 +/- 8.872e-05 (23.74%)
T = 500.425 +/- 4.134 (0.8261%)
fi = -299.787 +/- 0.07885 (0.0263%)
s = 973.781 +/- 7.373 (0.7572%)
correlation matrix of the fit parameters:
a d T fi s
a 1.000
d 0.901 1.000
T -0.259 -0.113 1.000
fi -0.306 -0.142 0.879 1.000
s -0.029 -0.118 -0.067 0.037 1.000
*******************************************************************************
Tue Nov 17 19:06:52 2009
FIT: data read from "poloha2A.txt" using 1:2:3
#datapoints = 64
function used for fitting: f(x)
fitted parameters initialized with current variable values
Iteration 0
WSSR : 1.22136e+06 delta(WSSR)/WSSR : 0
delta(WSSR) : 0 limit for stopping : 1e-05
lambda : 21052.8
initial set of free parameter values
a = 415.164
d = 0.000373673
T = 500.425
fi = -299.787
s = 973.781
After 17 iterations the fit converged.
final sum of squares of residuals : 334093
rel. change during last iteration : -9.79107e-06
degrees of freedom (FIT_NDF) : 59
rms of residuals (FIT_STDFIT) = sqrt(WSSR/ndf) : 75.2502
variance of residuals (reduced chisquare) = WSSR/ndf : 5662.6
Final set of parameters Asymptotic Standard Error
======================= ==========================
a = 415.153 +/- 8.725e+05 (2.102e+05%)
d = 0.0775612 +/- 21.79 (2.809e+04%)
T = 500.396 +/- 7.341e+05 (1.467e+05%)
fi = -304.146 +/- 1292 (424.9%)
s = 1042.02 +/- 33.32 (3.197%)
correlation matrix of the fit parameters:
a d T fi s
a 1.000
d 0.999 1.000
T 0.998 0.993 1.000
fi -1.000 -0.999 -0.998 1.000
s 0.139 0.133 0.146 -0.139 1.000
*******************************************************************************
Tue Nov 17 19:06:54 2009
FIT: data read from "poloha1A.txt" using 1:2:3
#datapoints = 62
function used for fitting: f(x)
fitted parameters initialized with current variable values
Iteration 0
WSSR : 21771.3 delta(WSSR)/WSSR : 0
delta(WSSR) : 0 limit for stopping : 1e-05
lambda : 26906.6
initial set of free parameter values
a = 390
d = 0.0002
T = 496
fi = -300
s = 950
After 8 iterations the fit converged.
final sum of squares of residuals : 13090
rel. change during last iteration : -6.37733e-06
degrees of freedom (FIT_NDF) : 57
rms of residuals (FIT_STDFIT) = sqrt(WSSR/ndf) : 15.1542
variance of residuals (reduced chisquare) = WSSR/ndf : 229.65
Final set of parameters Asymptotic Standard Error
======================= ==========================
a = 415.164 +/- 30.37 (7.315%)
d = 0.000373673 +/- 8.872e-05 (23.74%)
T = 500.425 +/- 4.134 (0.8261%)
fi = -299.787 +/- 0.07885 (0.0263%)
s = 973.781 +/- 7.373 (0.7572%)
correlation matrix of the fit parameters:
a d T fi s
a 1.000
d 0.901 1.000
T -0.259 -0.113 1.000
fi -0.306 -0.142 0.879 1.000
s -0.029 -0.118 -0.067 0.037 1.000
*******************************************************************************
Tue Nov 17 19:06:54 2009
FIT: data read from "poloha2A.txt" using 1:2:3
#datapoints = 64
function used for fitting: f(x)
fitted parameters initialized with current variable values
Iteration 0
WSSR : 1.22136e+06 delta(WSSR)/WSSR : 0
delta(WSSR) : 0 limit for stopping : 1e-05
lambda : 21052.8
initial set of free parameter values
a = 415.164
d = 0.000373673
T = 500.425
fi = -299.787
s = 973.781
After 17 iterations the fit converged.
final sum of squares of residuals : 334093
rel. change during last iteration : -9.79107e-06
degrees of freedom (FIT_NDF) : 59
rms of residuals (FIT_STDFIT) = sqrt(WSSR/ndf) : 75.2502
variance of residuals (reduced chisquare) = WSSR/ndf : 5662.6
Final set of parameters Asymptotic Standard Error
======================= ==========================
a = 415.153 +/- 8.725e+05 (2.102e+05%)
d = 0.0775612 +/- 21.79 (2.809e+04%)
T = 500.396 +/- 7.341e+05 (1.467e+05%)
fi = -304.146 +/- 1292 (424.9%)
s = 1042.02 +/- 33.32 (3.197%)
correlation matrix of the fit parameters:
a d T fi s
a 1.000
d 0.999 1.000
T 0.998 0.993 1.000
fi -1.000 -0.999 -0.998 1.000
s 0.139 0.133 0.146 -0.139 1.000
*******************************************************************************
Tue Nov 17 19:07:02 2009
FIT: data read from "poloha1A.txt" using 1:2:3
#datapoints = 62
function used for fitting: f(x)
fitted parameters initialized with current variable values
Iteration 0
WSSR : 21771.3 delta(WSSR)/WSSR : 0
delta(WSSR) : 0 limit for stopping : 1e-05
lambda : 26906.6
initial set of free parameter values
a = 390
d = 0.0002
T = 496
fi = -300
s = 950
After 8 iterations the fit converged.
final sum of squares of residuals : 13090
rel. change during last iteration : -6.37733e-06
degrees of freedom (FIT_NDF) : 57
rms of residuals (FIT_STDFIT) = sqrt(WSSR/ndf) : 15.1542
variance of residuals (reduced chisquare) = WSSR/ndf : 229.65
Final set of parameters Asymptotic Standard Error
======================= ==========================
a = 415.164 +/- 30.37 (7.315%)
d = 0.000373673 +/- 8.872e-05 (23.74%)
T = 500.425 +/- 4.134 (0.8261%)
fi = -299.787 +/- 0.07885 (0.0263%)
s = 973.781 +/- 7.373 (0.7572%)
correlation matrix of the fit parameters:
a d T fi s
a 1.000
d 0.901 1.000
T -0.259 -0.113 1.000
fi -0.306 -0.142 0.879 1.000
s -0.029 -0.118 -0.067 0.037 1.000
*******************************************************************************
Tue Nov 17 19:07:02 2009
FIT: data read from "poloha2A.txt" using 1:2:3
#datapoints = 64
function used for fitting: f(x)
fitted parameters initialized with current variable values
Iteration 0
WSSR : 1.22136e+06 delta(WSSR)/WSSR : 0
delta(WSSR) : 0 limit for stopping : 1e-05
lambda : 21052.8
initial set of free parameter values
a = 415.164
d = 0.000373673
T = 500.425
fi = -299.787
s = 973.781
After 17 iterations the fit converged.
final sum of squares of residuals : 334093
rel. change during last iteration : -9.79107e-06
degrees of freedom (FIT_NDF) : 59
rms of residuals (FIT_STDFIT) = sqrt(WSSR/ndf) : 75.2502
variance of residuals (reduced chisquare) = WSSR/ndf : 5662.6
Final set of parameters Asymptotic Standard Error
======================= ==========================
a = 415.153 +/- 8.725e+05 (2.102e+05%)
d = 0.0775612 +/- 21.79 (2.809e+04%)
T = 500.396 +/- 7.341e+05 (1.467e+05%)
fi = -304.146 +/- 1292 (424.9%)
s = 1042.02 +/- 33.32 (3.197%)
correlation matrix of the fit parameters:
a d T fi s
a 1.000
d 0.999 1.000
T 0.998 0.993 1.000
fi -1.000 -0.999 -0.998 1.000
s 0.139 0.133 0.146 -0.139 1.000
*******************************************************************************
Tue Nov 17 19:07:56 2009
FIT: data read from "poloha1A.txt" using 1:2:3
#datapoints = 62
function used for fitting: f(x)
fitted parameters initialized with current variable values
Iteration 0
WSSR : 21771.3 delta(WSSR)/WSSR : 0
delta(WSSR) : 0 limit for stopping : 1e-05
lambda : 26906.6
initial set of free parameter values
a = 390
d = 0.0002
T = 496
fi = -300
s = 950
After 8 iterations the fit converged.
final sum of squares of residuals : 13090
rel. change during last iteration : -6.37733e-06
degrees of freedom (FIT_NDF) : 57
rms of residuals (FIT_STDFIT) = sqrt(WSSR/ndf) : 15.1542
variance of residuals (reduced chisquare) = WSSR/ndf : 229.65
Final set of parameters Asymptotic Standard Error
======================= ==========================
a = 415.164 +/- 30.37 (7.315%)
d = 0.000373673 +/- 8.872e-05 (23.74%)
T = 500.425 +/- 4.134 (0.8261%)
fi = -299.787 +/- 0.07885 (0.0263%)
s = 973.781 +/- 7.373 (0.7572%)
correlation matrix of the fit parameters:
a d T fi s
a 1.000
d 0.901 1.000
T -0.259 -0.113 1.000
fi -0.306 -0.142 0.879 1.000
s -0.029 -0.118 -0.067 0.037 1.000
*******************************************************************************
Tue Nov 17 19:07:56 2009
FIT: data read from "poloha2A.txt" using 1:2:3
#datapoints = 64
function used for fitting: f(x)
fitted parameters initialized with current variable values
Iteration 0
WSSR : 1.21688e+06 delta(WSSR)/WSSR : 0
delta(WSSR) : 0 limit for stopping : 1e-05
lambda : 22719
initial set of free parameter values
a = 390
d = 0.0002
T = 496
fi = -300
s = 950
After 37 iterations the fit converged.
final sum of squares of residuals : 119.509
rel. change during last iteration : -4.23227e-08
degrees of freedom (FIT_NDF) : 59
rms of residuals (FIT_STDFIT) = sqrt(WSSR/ndf) : 1.42323
variance of residuals (reduced chisquare) = WSSR/ndf : 2.02558
Final set of parameters Asymptotic Standard Error
======================= ==========================
a = 429.751 +/- 2.133 (0.4963%)
d = 0.000470283 +/- 7.339e-06 (1.561%)
T = 497.817 +/- 0.3167 (0.06361%)
fi = -302.227 +/- 0.005104 (0.001689%)
s = 1062.89 +/- 0.6162 (0.05797%)
correlation matrix of the fit parameters:
a d T fi s
a 1.000
d 0.851 1.000
T -0.091 0.044 1.000
fi -0.128 0.025 0.813 1.000
s -0.020 0.035 -0.037 -0.062 1.000
*******************************************************************************
Tue Nov 17 19:07:58 2009
FIT: data read from "poloha1A.txt" using 1:2:3
#datapoints = 62
function used for fitting: f(x)
fitted parameters initialized with current variable values
Iteration 0
WSSR : 21771.3 delta(WSSR)/WSSR : 0
delta(WSSR) : 0 limit for stopping : 1e-05
lambda : 26906.6
initial set of free parameter values
a = 390
d = 0.0002
T = 496
fi = -300
s = 950
After 8 iterations the fit converged.
final sum of squares of residuals : 13090
rel. change during last iteration : -6.37733e-06
degrees of freedom (FIT_NDF) : 57
rms of residuals (FIT_STDFIT) = sqrt(WSSR/ndf) : 15.1542
variance of residuals (reduced chisquare) = WSSR/ndf : 229.65
Final set of parameters Asymptotic Standard Error
======================= ==========================
a = 415.164 +/- 30.37 (7.315%)
d = 0.000373673 +/- 8.872e-05 (23.74%)
T = 500.425 +/- 4.134 (0.8261%)
fi = -299.787 +/- 0.07885 (0.0263%)
s = 973.781 +/- 7.373 (0.7572%)
correlation matrix of the fit parameters:
a d T fi s
a 1.000
d 0.901 1.000
T -0.259 -0.113 1.000
fi -0.306 -0.142 0.879 1.000
s -0.029 -0.118 -0.067 0.037 1.000
*******************************************************************************
Tue Nov 17 19:07:58 2009
FIT: data read from "poloha2A.txt" using 1:2:3
#datapoints = 64
function used for fitting: f(x)
fitted parameters initialized with current variable values
Iteration 0
WSSR : 1.21688e+06 delta(WSSR)/WSSR : 0
delta(WSSR) : 0 limit for stopping : 1e-05
lambda : 22719
initial set of free parameter values
a = 390
d = 0.0002
T = 496
fi = -300
s = 950
After 37 iterations the fit converged.
final sum of squares of residuals : 119.509
rel. change during last iteration : -4.23227e-08
degrees of freedom (FIT_NDF) : 59
rms of residuals (FIT_STDFIT) = sqrt(WSSR/ndf) : 1.42323
variance of residuals (reduced chisquare) = WSSR/ndf : 2.02558
Final set of parameters Asymptotic Standard Error
======================= ==========================
a = 429.751 +/- 2.133 (0.4963%)
d = 0.000470283 +/- 7.339e-06 (1.561%)
T = 497.817 +/- 0.3167 (0.06361%)
fi = -302.227 +/- 0.005104 (0.001689%)
s = 1062.89 +/- 0.6162 (0.05797%)
correlation matrix of the fit parameters:
a d T fi s
a 1.000
d 0.851 1.000
T -0.091 0.044 1.000
fi -0.128 0.025 0.813 1.000
s -0.020 0.035 -0.037 -0.062 1.000

/dokumenty/PRA1/1-Cavendish/poloha1.pdf
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/LT5 {PL [3 dl1 3 dl2 1 dl1 3 dl2] LC5 DL} def
/LT6 {PL [2 dl1 2 dl2 2 dl1 6 dl2] LC6 DL} def
/LT7 {PL [1 dl1 2 dl2 6 dl1 2 dl2 1 dl1 2 dl2] LC7 DL} def
/LT8 {PL [2 dl1 2 dl2 2 dl1 2 dl2 2 dl1 2 dl2 2 dl1 4 dl2] LC8 DL} def
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hpt neg vpt neg V hpt vpt neg V
hpt vpt V hpt neg vpt V closepath stroke
Pnt} def
/Pls {stroke [] 0 setdash vpt sub M 0 vpt2 V
currentpoint stroke M
hpt neg vpt neg R hpt2 0 V stroke
} def
/Box {stroke [] 0 setdash 2 copy exch hpt sub exch vpt add M
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hpt2 neg 0 V closepath stroke
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/Crs {stroke [] 0 setdash exch hpt sub exch vpt add M
hpt2 vpt2 neg V currentpoint stroke M
hpt2 neg 0 R hpt2 vpt2 V stroke} def
/TriU {stroke [] 0 setdash 2 copy vpt 1.12 mul add M
hpt neg vpt -1.62 mul V
hpt 2 mul 0 V
hpt neg vpt 1.62 mul V closepath stroke
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/Star {2 copy Pls Crs} def
/BoxF {stroke [] 0 setdash exch hpt sub exch vpt add M
0 vpt2 neg V hpt2 0 V 0 vpt2 V
hpt2 neg 0 V closepath fill} def
/TriUF {stroke [] 0 setdash vpt 1.12 mul add M
hpt neg vpt -1.62 mul V
hpt 2 mul 0 V
hpt neg vpt 1.62 mul V closepath fill} def
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hpt neg vpt 1.62 mul V
hpt 2 mul 0 V
hpt neg vpt -1.62 mul V closepath stroke
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/TriDF {stroke [] 0 setdash vpt 1.12 mul sub M
hpt neg vpt 1.62 mul V
hpt 2 mul 0 V
hpt neg vpt -1.62 mul V closepath fill} def
/DiaF {stroke [] 0 setdash vpt add M
hpt neg vpt neg V hpt vpt neg V
hpt vpt V hpt neg vpt V closepath fill} def
/Pent {stroke [] 0 setdash 2 copy gsave
translate 0 hpt M 4 {72 rotate 0 hpt L} repeat
closepath stroke grestore Pnt} def
/PentF {stroke [] 0 setdash gsave
translate 0 hpt M 4 {72 rotate 0 hpt L} repeat
closepath fill grestore} def
/Circle {stroke [] 0 setdash 2 copy
hpt 0 360 arc stroke Pnt} def
/CircleF {stroke [] 0 setdash hpt 0 360 arc fill} def
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2 copy vpt 0 90 arc closepath fill
vpt 0 360 arc closepath} bind def
/C2 {BL [] 0 setdash 2 copy moveto
2 copy vpt 90 180 arc closepath fill
vpt 0 360 arc closepath} bind def
/C3 {BL [] 0 setdash 2 copy moveto
2 copy vpt 0 180 arc closepath fill
vpt 0 360 arc closepath} bind def
/C4 {BL [] 0 setdash 2 copy moveto
2 copy vpt 180 270 arc closepath fill
vpt 0 360 arc closepath} bind def
/C5 {BL [] 0 setdash 2 copy moveto
2 copy vpt 0 90 arc
2 copy moveto
2 copy vpt 180 270 arc closepath fill
vpt 0 360 arc} bind def
/C6 {BL [] 0 setdash 2 copy moveto
2 copy vpt 90 270 arc closepath fill
vpt 0 360 arc closepath} bind def
/C7 {BL [] 0 setdash 2 copy moveto
2 copy vpt 0 270 arc closepath fill
vpt 0 360 arc closepath} bind def
/C8 {BL [] 0 setdash 2 copy moveto
2 copy vpt 270 360 arc closepath fill
vpt 0 360 arc closepath} bind def
/C9 {BL [] 0 setdash 2 copy moveto
2 copy vpt 270 450 arc closepath fill
vpt 0 360 arc closepath} bind def
/C10 {BL [] 0 setdash 2 copy 2 copy moveto vpt 270 360 arc closepath fill
2 copy moveto
2 copy vpt 90 180 arc closepath fill
vpt 0 360 arc closepath} bind def
/C11 {BL [] 0 setdash 2 copy moveto
2 copy vpt 0 180 arc closepath fill
2 copy moveto
2 copy vpt 270 360 arc closepath fill
vpt 0 360 arc closepath} bind def
/C12 {BL [] 0 setdash 2 copy moveto
2 copy vpt 180 360 arc closepath fill
vpt 0 360 arc closepath} bind def
/C13 {BL [] 0 setdash 2 copy moveto
2 copy vpt 0 90 arc closepath fill
2 copy moveto
2 copy vpt 180 360 arc closepath fill
vpt 0 360 arc closepath} bind def
/C14 {BL [] 0 setdash 2 copy moveto
2 copy vpt 90 360 arc closepath fill
vpt 0 360 arc} bind def
/C15 {BL [] 0 setdash 2 copy vpt 0 360 arc closepath fill
vpt 0 360 arc closepath} bind def
/Rec {newpath 4 2 roll moveto 1 index 0 rlineto 0 exch rlineto
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/Square {dup Rec} bind def
/Bsquare {vpt sub exch vpt sub exch vpt2 Square} bind def
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/S1 {BL [] 0 setdash 2 copy vpt Square fill Bsquare} bind def
/S2 {BL [] 0 setdash 2 copy exch vpt sub exch vpt Square fill Bsquare} bind def
/S3 {BL [] 0 setdash 2 copy exch vpt sub exch vpt2 vpt Rec fill Bsquare} bind def
/S4 {BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt Square fill Bsquare} bind def
/S5 {BL [] 0 setdash 2 copy 2 copy vpt Square fill
exch vpt sub exch vpt sub vpt Square fill Bsquare} bind def
/S6 {BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt vpt2 Rec fill Bsquare} bind def
/S7 {BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt vpt2 Rec fill
2 copy vpt Square fill Bsquare} bind def
/S8 {BL [] 0 setdash 2 copy vpt sub vpt Square fill Bsquare} bind def
/S9 {BL [] 0 setdash 2 copy vpt sub vpt vpt2 Rec fill Bsquare} bind def
/S10 {BL [] 0 setdash 2 copy vpt sub vpt Square fill 2 copy exch vpt sub exch vpt Square fill
Bsquare} bind def
/S11 {BL [] 0 setdash 2 copy vpt sub vpt Square fill 2 copy exch vpt sub exch vpt2 vpt Rec fill
Bsquare} bind def
/S12 {BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt2 vpt Rec fill Bsquare} bind def
/S13 {BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt2 vpt Rec fill
2 copy vpt Square fill Bsquare} bind def
/S14 {BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt2 vpt Rec fill
2 copy exch vpt sub exch vpt Square fill Bsquare} bind def
/S15 {BL [] 0 setdash 2 copy Bsquare fill Bsquare} bind def
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/D10 {gsave translate 45 rotate 0 0 S10 stroke grestore} bind def
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/D13 {gsave translate 45 rotate 0 0 S13 stroke grestore} bind def
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/D15 {gsave translate 45 rotate 0 0 S15 stroke grestore} bind def
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hpt neg vpt neg V hpt vpt neg V
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hpt 2 mul 0 V
hpt neg vpt -1.62 mul V closepath stroke} def
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closepath stroke grestore} def
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hpt 0 360 arc stroke} def
/Opaque {gsave closepath 1 setgray fill grestore 0 setgray closepath} def
/DiaW {stroke [] 0 setdash vpt add M
hpt neg vpt neg V hpt vpt neg V
hpt vpt V hpt neg vpt V Opaque stroke} def
/BoxW {stroke [] 0 setdash exch hpt sub exch vpt add M
0 vpt2 neg V hpt2 0 V 0 vpt2 V
hpt2 neg 0 V Opaque stroke} def
/TriUW {stroke [] 0 setdash vpt 1.12 mul add M
hpt neg vpt -1.62 mul V
hpt 2 mul 0 V
hpt neg vpt 1.62 mul V Opaque stroke} def
/TriDW {stroke [] 0 setdash vpt 1.12 mul sub M
hpt neg vpt 1.62 mul V
hpt 2 mul 0 V
hpt neg vpt -1.62 mul V Opaque stroke} def
/PentW {stroke [] 0 setdash gsave
translate 0 hpt M 4 {72 rotate 0 hpt L} repeat
Opaque stroke grestore} def
/CircW {stroke [] 0 setdash
hpt 0 360 arc Opaque stroke} def
/BoxFill {gsave Rec 1 setgray fill grestore} def
/Density {
/Fillden exch def
currentrgbcolor
/ColB exch def /ColG exch def /ColR exch def
/ColR ColR Fillden mul Fillden sub 1 add def
/ColG ColG Fillden mul Fillden sub 1 add def
/ColB ColB Fillden mul Fillden sub 1 add def
ColR ColG ColB setrgbcolor} def
/BoxColFill {gsave Rec PolyFill} def
/PolyFill {gsave Density fill grestore grestore} def
/h {rlineto rlineto rlineto gsave closepath fill grestore} bind def
%
% PostScript Level 1 Pattern Fill routine for rectangles
% Usage: x y w h s a XX PatternFill
% x,y = lower left corner of box to be filled
% w,h = width and height of box
% a = angle in degrees between lines and x-axis
% XX = 0/1 for no/yes cross-hatch
%
/PatternFill {gsave /PFa [ 9 2 roll ] def
PFa 0 get PFa 2 get 2 div add PFa 1 get PFa 3 get 2 div add translate
PFa 2 get -2 div PFa 3 get -2 div PFa 2 get PFa 3 get Rec
gsave 1 setgray fill grestore clip
currentlinewidth 0.5 mul setlinewidth
/PFs PFa 2 get dup mul PFa 3 get dup mul add sqrt def
0 0 M PFa 5 get rotate PFs -2 div dup translate
0 1 PFs PFa 4 get div 1 add floor cvi
{PFa 4 get mul 0 M 0 PFs V} for
0 PFa 6 get ne {
0 1 PFs PFa 4 get div 1 add floor cvi
{PFa 4 get mul 0 2 1 roll M PFs 0 V} for
} if
stroke grestore} def
%
/languagelevel where
{pop languagelevel} {1} ifelse
2 lt
{/InterpretLevel1 true def}
{/InterpretLevel1 Level1 def}
ifelse
%
% PostScript level 2 pattern fill definitions
%
/Level2PatternFill {
/Tile8x8 {/PaintType 2 /PatternType 1 /TilingType 1 /BBox [0 0 8 8] /XStep 8 /YStep 8}
bind def
/KeepColor {currentrgbcolor [/Pattern /DeviceRGB] setcolorspace} bind def
<< Tile8x8
/PaintProc {0.5 setlinewidth pop 0 0 M 8 8 L 0 8 M 8 0 L stroke}
>> matrix makepattern
/Pat1 exch def
<< Tile8x8
/PaintProc {0.5 setlinewidth pop 0 0 M 8 8 L 0 8 M 8 0 L stroke
0 4 M 4 8 L 8 4 L 4 0 L 0 4 L stroke}
>> matrix makepattern
/Pat2 exch def
<< Tile8x8
/PaintProc {0.5 setlinewidth pop 0 0 M 0 8 L
8 8 L 8 0 L 0 0 L fill}
>> matrix makepattern
/Pat3 exch def
<< Tile8x8
/PaintProc {0.5 setlinewidth pop -4 8 M 8 -4 L
0 12 M 12 0 L stroke}
>> matrix makepattern
/Pat4 exch def
<< Tile8x8
/PaintProc {0.5 setlinewidth pop -4 0 M 8 12 L
0 -4 M 12 8 L stroke}
>> matrix makepattern
/Pat5 exch def
<< Tile8x8
/PaintProc {0.5 setlinewidth pop -2 8 M 4 -4 L
0 12 M 8 -4 L 4 12 M 10 0 L stroke}
>> matrix makepattern
/Pat6 exch def
<< Tile8x8
/PaintProc {0.5 setlinewidth pop -2 0 M 4 12 L
0 -4 M 8 12 L 4 -4 M 10 8 L stroke}
>> matrix makepattern
/Pat7 exch def
<< Tile8x8
/PaintProc {0.5 setlinewidth pop 8 -2 M -4 4 L
12 0 M -4 8 L 12 4 M 0 10 L stroke}
>> matrix makepattern
/Pat8 exch def
<< Tile8x8
/PaintProc {0.5 setlinewidth pop 0 -2 M 12 4 L
-4 0 M 12 8 L -4 4 M 8 10 L stroke}
>> matrix makepattern
/Pat9 exch def
/Pattern1 {PatternBgnd KeepColor Pat1 setpattern} bind def
/Pattern2 {PatternBgnd KeepColor Pat2 setpattern} bind def
/Pattern3 {PatternBgnd KeepColor Pat3 setpattern} bind def
/Pattern4 {PatternBgnd KeepColor Landscape {Pat5} {Pat4} ifelse setpattern} bind def
/Pattern5 {PatternBgnd KeepColor Landscape {Pat4} {Pat5} ifelse setpattern} bind def
/Pattern6 {PatternBgnd KeepColor Landscape {Pat9} {Pat6} ifelse setpattern} bind def
/Pattern7 {PatternBgnd KeepColor Landscape {Pat8} {Pat7} ifelse setpattern} bind def
} def
%
%
%End of PostScript Level 2 code
%
/PatternBgnd {
TransparentPatterns {} {gsave 1 setgray fill grestore} ifelse
} def
%
% Substitute for Level 2 pattern fill codes with
% grayscale if Level 2 support is not selected.
%
/Level1PatternFill {
/Pattern1 {0.250 Density} bind def
/Pattern2 {0.500 Density} bind def
/Pattern3 {0.750 Density} bind def
/Pattern4 {0.125 Density} bind def
/Pattern5 {0.375 Density} bind def
/Pattern6 {0.625 Density} bind def
/Pattern7 {0.875 Density} bind def
} def
%
% Now test for support of Level 2 code
%
Level1 {Level1PatternFill} {Level2PatternFill} ifelse
%
/Symbol-Oblique /Symbol findfont [1 0 .167 1 0 0] makefont
dup length dict begin {1 index /FID eq {pop pop} {def} ifelse} forall
currentdict end definefont pop
end
%%EndProlog
%%Page: 1 1
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currentrgbcolor
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%
% PostScript Level 1 Pattern Fill routine for rectangles
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% x,y = lower left corner of box to be filled
% w,h = width and height of box
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% XX = 0/1 for no/yes cross-hatch
%
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{PFa 4 get mul 0 M 0 PFs V} for
0 PFa 6 get ne {
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stroke grestore} def
%
/languagelevel where
{pop languagelevel} {1} ifelse
2 lt
{/InterpretLevel1 true def}
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ifelse
%
% PostScript level 2 pattern fill definitions
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bind def
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/Pat1 exch def
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<< Tile8x8
/PaintProc {0.5 setlinewidth pop 0 0 M 0 8 L
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<< Tile8x8
/PaintProc {0.5 setlinewidth pop -4 8 M 8 -4 L
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<< Tile8x8
/PaintProc {0.5 setlinewidth pop -4 0 M 8 12 L
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>> matrix makepattern
/Pat5 exch def
<< Tile8x8
/PaintProc {0.5 setlinewidth pop -2 8 M 4 -4 L
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<< Tile8x8
/PaintProc {0.5 setlinewidth pop -2 0 M 4 12 L
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/Pattern3 {PatternBgnd KeepColor Pat3 setpattern} bind def
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/Pattern5 {PatternBgnd KeepColor Landscape {Pat4} {Pat5} ifelse setpattern} bind def
/Pattern6 {PatternBgnd KeepColor Landscape {Pat9} {Pat6} ifelse setpattern} bind def
/Pattern7 {PatternBgnd KeepColor Landscape {Pat8} {Pat7} ifelse setpattern} bind def
} def
%
%
%End of PostScript Level 2 code
%
/PatternBgnd {
TransparentPatterns {} {gsave 1 setgray fill grestore} ifelse
} def
%
% Substitute for Level 2 pattern fill codes with
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%
/Level1PatternFill {
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/Pattern2 {0.500 Density} bind def
/Pattern3 {0.750 Density} bind def
/Pattern4 {0.125 Density} bind def
/Pattern5 {0.375 Density} bind def
/Pattern6 {0.625 Density} bind def
/Pattern7 {0.875 Density} bind def
} def
%
% Now test for support of Level 2 code
%
Level1 {Level1PatternFill} {Level2PatternFill} ifelse
%
/Symbol-Oblique /Symbol findfont [1 0 .167 1 0 0] makefont
dup length dict begin {1 index /FID eq {pop pop} {def} ifelse} forall
currentdict end definefont pop
end
%%EndProlog
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stroke 2355 1736 M
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stroke 2638 622 M
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2 0 V
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2 0 V
3 0 V
3 0 V
3 1 V
2 0 V
3 0 V
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2 1 V
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3 2 V
2 1 V
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3 3 V
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stroke 2922 726 M
2 7 V
3 7 V
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stroke 3205 1908 M
3 15 V
2 14 V
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3 12 V
2 13 V
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3 13 V
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3 13 V
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2 12 V
stroke 3488 3363 M
3 12 V
3 12 V
3 12 V
2 12 V
3 12 V
3 12 V
2 11 V
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3 3 V
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3 4 V
2 3 V
3 4 V
3 3 V
2 3 V
3 3 V
3 3 V
3 3 V
2 3 V
3 2 V
3 3 V
stroke 3772 4161 M
2 2 V
3 2 V
3 3 V
3 2 V
2 2 V
3 1 V
3 2 V
3 2 V
2 1 V
3 2 V
3 1 V
2 1 V
3 1 V
3 1 V
3 1 V
2 1 V
3 1 V
3 0 V
3 1 V
2 0 V
3 0 V
3 0 V
2 0 V
3 0 V
3 0 V
3 -1 V
2 0 V
3 -1 V
3 0 V
2 -1 V
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2 -1 V
3 -2 V
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stroke 4055 3840 M
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stroke 4339 2669 M
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stroke 4622 1433 M
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3 0 V
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3 -1 V
3 0 V
2 0 V
stroke 4905 913 M
3 0 V
3 0 V
2 0 V
3 0 V
3 1 V
3 0 V
2 1 V
3 0 V
3 1 V
3 1 V
2 1 V
3 1 V
3 1 V
2 1 V
3 1 V
3 2 V
3 1 V
2 2 V
3 1 V
3 2 V
2 2 V
3 2 V
3 2 V
3 2 V
2 2 V
3 3 V
3 2 V
3 3 V
2 2 V
3 3 V
3 3 V
2 3 V
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2 3 V
3 4 V
3 3 V
3 4 V
2 3 V
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stroke 5189 1391 M
2 9 V
3 9 V
3 9 V
3 9 V
2 9 V
3 9 V
3 9 V
2 9 V
3 9 V
3 9 V
3 10 V
2 9 V
3 9 V
3 10 V
3 9 V
2 10 V
3 10 V
3 9 V
2 10 V
3 10 V
3 10 V
3 10 V
2 10 V
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3 10 V
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3 10 V
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3 12 V
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3 11 V
3 12 V
3 11 V
2 12 V
3 12 V
3 11 V
3 12 V
2 11 V
3 12 V
stroke 5472 2509 M
3 11 V
2 12 V
3 11 V
3 12 V
3 11 V
2 12 V
3 11 V
3 11 V
3 12 V
2 11 V
3 12 V
3 11 V
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3 12 V
3 11 V
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3 12 V
3 11 V
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3 10 V
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3 10 V
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2 10 V
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3 10 V
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3 10 V
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3 10 V
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3 10 V
3 10 V
2 10 V
3 10 V
3 10 V
2 10 V
3 10 V
3 10 V
3 10 V
2 10 V
3 10 V
3 10 V
2 9 V
3 10 V
3 10 V
3 9 V
2 10 V
3 9 V
3 9 V
3 10 V
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3 10 V
3 9 V
3 8 V
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3 7 V
3 8 V
3 7 V
2 8 V
3 7 V
3 8 V
2 7 V
3 7 V
3 7 V
3 7 V
2 7 V
stroke 5755 3525 M
3 7 V
3 7 V
3 7 V
2 7 V
3 6 V
3 7 V
2 6 V
3 7 V
3 6 V
3 6 V
2 6 V
3 6 V
3 6 V
3 6 V
2 6 V
3 6 V
3 6 V
2 5 V
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3 5 V
3 6 V
2 5 V
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2 6 V
3 5 V
3 4 V
3 5 V
2 5 V
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3 4 V
3 5 V
2 4 V
3 5 V
3 4 V
2 4 V
3 4 V
3 4 V
3 4 V
2 4 V
3 4 V
3 3 V
3 4 V
2 3 V
3 4 V
3 3 V
2 4 V
3 3 V
3 3 V
3 3 V
2 3 V
3 3 V
3 2 V
3 3 V
2 2 V
3 3 V
3 2 V
2 3 V
3 2 V
3 2 V
3 2 V
2 2 V
3 2 V
3 2 V
2 1 V
3 2 V
3 2 V
3 1 V
2 1 V
3 2 V
3 1 V
3 1 V
2 1 V
3 1 V
3 1 V
2 0 V
3 1 V
3 1 V
3 0 V
2 1 V
3 0 V
3 0 V
3 0 V
2 0 V
3 0 V
3 0 V
2 0 V
3 0 V
3 -1 V
3 0 V
2 -1 V
3 0 V
3 -1 V
3 -1 V
2 -1 V
3 -1 V
3 -1 V
2 -1 V
3 -1 V
3 -2 V
3 -1 V
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3 -1 V
3 -2 V
stroke 6039 3809 M
2 -2 V
3 -1 V
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3 -2 V
2 -2 V
3 -3 V
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3 -2 V
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3 -2 V
3 -3 V
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2 -4 V
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3 -9 V
3 -8 V
3 -9 V
2 -8 V
3 -9 V
3 -9 V
2 -8 V
3 -9 V
stroke 6322 3226 M
3 -9 V
3 -9 V
2 -9 V
3 -8 V
3 -9 V
2 -9 V
3 -10 V
3 -9 V
3 -9 V
2 -9 V
3 -9 V
3 -9 V
3 -10 V
2 -9 V
3 -9 V
3 -10 V
2 -9 V
3 -10 V
3 -9 V
3 -10 V
2 -9 V
3 -10 V
3 -9 V
stroke
LTb
938 4872 N
938 448 L
6052 0 V
0 4424 V
-6052 0 V
Z stroke
1.000 UP
1.000 UL
LTb
stroke
grestore
end
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