From 8f57be564ef71dcb7275f15e7817d49ea5c97799 Mon Sep 17 00:00:00 2001 From: Peter Schaefer Date: Wed, 24 Apr 2013 14:59:04 +0200 Subject: [PATCH] [src] neues recompute_time [doc] kleine Verbesserungen (plots) --- .gitignore | 2 + doc/doc.pdf | Bin 749078 -> 752094 bytes doc/doc.tex | 94 +-- doc/fig/2222t05n05_2DQuad_cond.eps | 56 +- doc/fig/2222t05n05_2DQuad_error.eps | 192 ++--- doc/fig/2222t05n05_2DQuad_hminmax.eps | 168 ++--- doc/fig/2222t05n05_2DQuad_time.eps | 660 ++++++++---------- .../978-3-8348-9644-5_1.pdf | Bin 0 -> 244734 bytes .../978-3-8348-9644-5_10.pdf | Bin 0 -> 291167 bytes .../978-3-8348-9644-5_11.pdf | Bin 0 -> 304468 bytes .../978-3-8348-9644-5_12.pdf | Bin 0 -> 206893 bytes .../978-3-8348-9644-5_13.pdf | Bin 0 -> 346706 bytes .../978-3-8348-9644-5_14.pdf | Bin 0 -> 150071 bytes .../978-3-8348-9644-5_15.pdf | Bin 0 -> 263397 bytes .../978-3-8348-9644-5_16.pdf | Bin 0 -> 222678 bytes .../978-3-8348-9644-5_2.pdf | Bin 0 -> 226394 bytes .../978-3-8348-9644-5_3.pdf | 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z=s~+?cI2(N9rHU^cAZ+BTFhm4$`^OVoDvhD9gDkWcG&L!OL1UwhaHk9oOtl@C!TWr VtizMIWmn2)k|Rg%viGjZ{|9+}4R!zk diff --git a/doc/doc.tex b/doc/doc.tex index 572ce0b..773230f 100644 --- a/doc/doc.tex +++ b/doc/doc.tex @@ -4,6 +4,7 @@ \usepackage[ngerman]{babel} %Sprachpacket für Überschriften \usepackage[utf8x]{inputenc} %Eingabekodierung \usepackage{fixltx2e} %Deutschsprach Bugs +% \usepackage{lmodern} \usepackage{amsmath,amssymb} %Mathematische Symbole %\usepackage{moreverb} @@ -14,14 +15,18 @@ \usepackage{colortbl} %Einfache Färbungen in Tabellen \usepackage{color} %Farben benutzen und Definieren \usepackage{subfig} %mehrere Figuren in einer -\usepackage{hyperref} %Links im Inhaltsverzeichnis -\hypersetup{linkbordercolor={1 1 1},citebordercolor={1 1 1},urlbordercolor={1 1 1}} \usepackage{bibgerm} %Zitate und Referenzen Style \usepackage{lstings} %Code Einbinden (Private) \usepackage{ifthen} +\usepackage{fancyhdr} + +\usepackage{hyperref} %Links im Inhaltsverzeichnis + +\hypersetup{linkbordercolor={1 1 1},citebordercolor={1 1 1},urlbordercolor={1 1 1}} + \definecolor{gray}{gray}{.8} \definecolor{dred}{rgb}{.8,0,0} \definecolor{dgreen}{rgb}{0,.8,.4} @@ -41,19 +46,6 @@ \newcommand{\figHelp}[1][]{{\color{fig_help}orange#1}} \newcommand{\figErr}[1][]{{\color{fig_err}rot#1}} -\usepackage{fancyhdr} - -\pagestyle{fancy} -\fancyhf{} -\renewcommand{\headrulewidth}{0pt} - -% \lhead{\bf \large Aufgabe \thesubsection} -% \chead{\thesection. Übung ZtuA} -\rhead{\todo{ \scriptsize \today}} -\cfoot{\thepage} -% \setlength{\headheight}{4\baselineskip} - - \def\q{\Q} @@ -105,16 +97,6 @@ \newcommand{\llangle}{\langle\!\langle} \newcommand{\rrangle}{\rangle\!\rangle} -\newcommand{\showMesh}[2][]{\begin{figure}[ht] -\caption{#1} -\label{#2} -\centering -\subfloat[Lage]{\includegraphics[width=0.55\textwidth]{fig/#2_ref}} -\subfloat[Koordinaten]{\input{fig/#2_coo}}\\ -\subfloat[Elemente]{\input{fig/#2_ele}} -\subfloat[Nachbarn]{\input{fig/#2_nei}} -\end{figure}} - \def\N{\mathbb{N}} \def\R{\mathbb{R}} @@ -185,7 +167,15 @@ \psfrag{cond 132t05n05 QA}{\tiny Kondition volle Quadratur} +\pagestyle{fancy} +\fancyhf{} +\renewcommand{\headrulewidth}{0pt} +% \lhead{\bf \large Aufgabe \thesubsection} +% \chead{\thesection. Übung ZtuA} +\rhead{\todo{ \scriptsize \today}} +\cfoot{\thepage} +% \setlength{\headheight}{4\baselineskip} @@ -217,7 +207,7 @@ u &= g \quad \text{ auf }\Gamma := \partial \Omega, \end{aligned} \end{align} wobei $\varDelta u := \partial_x^2u+\partial_y^2u+\partial_z^2u$ den Laplace-Operator bezeichnet und $\Omega \subset \R^3$ eine beschränkte Teilmenge von $\R^3$ mit Lipschitz-Rand $\Gamma$ ist.\\ -In Abschnitt \ref{sec:bem} stellen wir zunächst die Randelementmethode für die homogene Laplace-Gleichung mit Dirichlet-Randbedingungen vor. Dabei verwenden wir den indirekten Ansatz, um anschließend mithilfe des Galerkin-Verfahrens die Gleichung zu lösen. An dieser Stelle werden wir auch kurz die Parametrisierung des Randes vorstellen. Wir werden im Folgenden den Rand in affine achsenorientierte Rechtecke $T$ zerlegen, das heißt die Punkte in einem Rechteck liegen in einer zu den Achsen des Koordinatensystem parallelen Ebene.\\ +In Abschnitt \ref{sec:bem} stellen wir die Randelementmethode für die homogene Laplace-Gleichung mit Dirichlet-Randbedingungen vor. Dabei verwenden wir den indirekten Ansatz, um anschließend mithilfe des Galerkin-Verfahrens die Gleichung zu lösen. An dieser Stelle werden wir auch kurz die Parametrisierung des Randes vorstellen. Wir werden im Folgenden den Rand in affine achsenorientierte Rechtecke $T$ zerlegen, das heißt die Punkte in einem Rechteck liegen in einer zu den Achsen des Koordinatensystem parallelen Ebene.\\ In Abschnitt \ref{sec:semi} werden wir uns mit der approximativen Berechnung des Doppelintegrals \begin{align}\label{math:intro:int} \int_{T_j} \int_{T_k} \kappa(\bs x, \bs y) ds_{\bs y} ds_{\bs x} @@ -610,7 +600,7 @@ q&=\sum_{j=0}^py_jL_j, \end{align*} wobei die Lagrange-Polynome $L_j$ definiert sind durch \begin{align*} -L_j(x) &= \prod_{i=0 \atop i\neq j}^p \frac{x-x_i}{x_j-x_i}. +L_j(x) &= \prod_{\genfrac{}{}{0pt}{}{i=0}{i\neq j}}^p \frac{x-x_i}{x_j-x_i}. \end{align*} Mit diesem Wissen definieren wir uns nun den Interpolationsoperator $\I_p : \C[0,1]\to P^{p}$ \begin{align*} @@ -1566,7 +1556,7 @@ mit $\lambda = 0$ gilt die Formel mit beliebigen Skalaren $x,y,p \in \R$ \begin{align*} (2p+1)g(p;y;x;0) = \begin{cases} \sgn(y-x) \log \abs{y-x}^{2p} & p=-1/2 \\(y-x) \abs{y-x}^{2p} & \text{sonst} \end{cases} \end{align*} -falls $x$ für $p\leq-1/2$ außerhalb des betrachteten Integrationsbereichs liegt. +falls $x$ für $p\leq-1/2$ außerhalb des betrachteten Integrationsbereichs liegt.\\ Für beliebige $x,p,y, \lambda \in \R$ mit $\lambda \neq 0$ gilt die Rekursionsformel \begin{align*} (2p+1)g(p;y;x;\lambda) &= (y-x) \{(y-x)^2+\lambda^2\}^p + 2p\lambda g(p-1;y;x;\lambda). @@ -2002,7 +1992,7 @@ zuverlässig \enorm{\phi - \phi_{\ell}}&\leq \frac 1{\sqrt{1-C_{sat}^2}}\eta_{\ell}. \end{align*} \end{defi} -Der Schätzer ist berechenbar, liefert aber keine lokalen Beiträge und kann daher nicht unmittelbar verwendet werden, um einen adaptiven Algorithmus zu steuern. Hierzu definieren wir weitere Schätzer. Für jedes $T_j\in\T_{\ell}$ bezeichnen wir mit $\varrho_j>0$ den Durchmesser des größten eingeschriebenen Innenkreises in $T_j$ und mit $h_j:=\diam(T_j)>0$ den maximalen Durchmesser von $T_j$. Weiterhin definieren wir die lokalen Netzweiten $\varrho,h\in L^\infty$ durch $\varrho_{|T_j} = \varrho_j$ und $h_{|T_j} = h_j$. +Der Schätzer ist berechenbar, liefert aber keine lokalen Beiträge und kann daher nicht unmittelbar verwendet werden, um einen adaptiven Algorithmus zu steuern. Hierzu definieren wir weitere Schätzer. Für jedes $T_j\in\T_{\ell}$ bezeichnen wir mit $\varrho_j>0$ den Durchmesser des größten eingeschriebenen Innenkreises in $T_j$ und mit $h_j:=\diam(T_j)>0$ den Durchmesser von $T_j$. Weiterhin definieren wir die lokalen Netzweiten $\varrho,h\in L^\infty$ durch $\varrho_{|T_j} = \varrho_j$ und $h_{|T_j} = h_j$. \begin{defi}[A-posteriori Fehlerschätzer] Es bezeichne $\phi$ die exakte Lösung von \eqref{math:slp:gls}, $\phi_{\ell}$ die Galerkin-Lösung von \eqref{math:slp:gls:galerkin} auf dem Gitter $\T_{\ell}$ und $\hat \phi_{\ell}$ die Galerkin-Lösung auf dem uniform verfeinerten Gitter $\hat \T_{\ell}$. Dann gilt nach \cite[Theorem 3.2 und 3.4]{fer:errbem}, die Fehlerschätzer \begin{align} @@ -2197,7 +2187,7 @@ In Abbildung \ref{fig:2DQuad:verfeinern:err} betrachten wir für die jeweilige S Anhand der Linien in \figLineB[], beobachten wir eine schnellere Konvergenz der "`adaptiv isotropen"' Strategie. Denn hier lässt sich eine Konvergenzrate von $\O(N^{-1/2})$ gegen 0 erkennen. Bei dieser Strategie erreichen wir für die gleiche Elementanzahl des $\T_{\ell}$ Gitters schon einen Fehler im Bereich von 0.1. \noindent -Betrachten wir nun die Strategie "`adaptiv anisotrop"' in \figLineC[], so beobachten wir eine kurzzeitig sehr starke Konvergenz, welche dann von unten gegen eine sehr gute Konvergenzrate von $\O(N^{-3/4})$ strebt. Hierbei erkennen wir, dass der Fehler der Energienorm schon im Bereich von 0.01 für die gleiche Elementanzahl liegt. Jedoch sehen wir auch, dass der Fehlerschätzer $\tilde \mu$ ab dieser Elementanzahl seine Konvergenzrate verliert und damit unzuverlässig wird. +Betrachten wir nun die Strategie "`adaptiv anisotrop"' in \figLineC[], so beobachten wir eine kurzzeitig sehr starke Konvergenz, welche dann gegen eine sehr gute Konvergenzrate von $\O(N^{-3/4})$ strebt. Hierbei erkennen wir, dass der Fehler der Energienorm schon im Bereich von 0.01 für die gleiche Elementanzahl liegt. Jedoch sehen wir auch, dass der Fehlerschätzer $\tilde \mu$ ab dieser Elementanzahl seine Konvergenzrate verliert und damit unzuverlässig wird. \noindent Weiterhin können wir für alle drei Strategien anhand der Parallelität der Fehlerschätzer zum tatsächlichen Fehler, die Effektivität und Zuverlässigkeit der Fehlerschätzer erkennen. Sowie auch die Äquivalents des $h-h/2$ Schätzers zum lokalen $\tilde \mu$ Schätzers aufgrund der Parallelität zu beobachten ist. Außerdem beschreiben die Fehlerschätzer den tatsächlichen Fehler auch in der Größenordnung sehr gut. @@ -2246,10 +2236,10 @@ Bei der folgenden Berechnung werden wir wieder den Algorithmus \ref{alg:adapt} m In Abbildung \ref{fig:2DQuad:quad:err} haben wir die Ergebnisse der Fehler und Fehlerschätzer für die verschiedenen Quadraturgrade dargestellt. Wir beobachten, dass eine sowie zwei Auswertungsstellen, dargestellt durch die Linien in \figLineA[] und \figLineB[] instabil werden. Für die Quadraturgrade vier und acht dargestellt durch die Linien in \figLineC[] und \figLineD[], erkennen wir, dass die Berechnungen stabil bleiben und das auch für Elementanzahlen bei denen die analytische Berechnung (vergleiche Abbildung \ref{fig:2DQuad:verfeinern}) versagt. \noindent -Da wir möglichst ökonomisch arbeiten wollen, haben wir auch die Berechnungszeiten für die Matrix $\hat V_{\ell}$ in Abbildung \ref{fig:2DQuad:quad:time} untersucht. \todo{Wie sich leicht erkennen lässt sind die Berechnungszeiten für die verschiedenen Quadraturgrade etwa äquivalent. Lediglich die Quadratur mit 8 Auswertungsstellen benötigt für kleine Elementanzahlen etwas länger, wobei sie für große Anzahlen jedoch fast gleich ist. Daraus lässt sich ablesen, dass die Wahl des Quadraturgrades für große Netze kaum einen Einfluss auf die Berechnungszeit nimmt.} +Da wir möglichst ökonomisch arbeiten wollen, haben wir auch die Berechnungszeiten für die Matrix $\hat V_{\ell}$ in Abbildung \ref{fig:2DQuad:quad:time} untersucht. Wie sich leicht erkennen lässt benötigt die Berechnung mit Quadraturgrad 8, dargestellt durch die Linie in \figLineD[] für 3000 Elemente etwa $1000$ Sekunden. Die Berechnungszeiten für die Quadraturgrade 1,2,4 benötigen hingegen wesentlich weniger Zeit und sind fast äquivalent. Sie Berechnen die $\hat V_{\ell}$ Matrix für 3000 Elmente in etwa $100$ Sekunden und sind damit etwa 16 Mal schneller als die Quadratur vom Grad 8. \noindent -Aufgrund dieser Ergebnisse werden wir für die Folgenden Berechnungen einen Quadraturgrad von 4 wählen. Denn wir wollen zum einen die Berechnungszeiten auch für kleine Netze gering halten und zum anderen die Stabilität der Berechnungen sicher stellen. +Aufgrund dieser Ergebnisse werden wir für die Folgenden Berechnungen einen Quadraturgrad von 4 wählen. Denn wir wollen zum einen die Berechnungszeiten gering halten und zum anderen die Stabilität der Berechnungen sicher stellen. \subsubsection{Vergleich verschiedener Berechnungsarten} Wie wir für die analytische Berechnung mit adaptiv anisotroper Netzverfeinerung in Abbildung \ref{fig:2DQuad:verfeinern:err} gesehen haben, wird der Fehlerschätzer $\tilde \mu_{\ell}$ ab etwa 3000 Elementen instabil. Deswegen wollen wir an dieser Stelle verschiedene Strategien zur Approximation der Matrix $\hat V_{\ell}$ vorstellen.\\ @@ -2270,7 +2260,8 @@ In der letzten Strategie "`volle Quadratur"' werden wir alle $\zeta_Q$-zulässig \end{figure} \noindent -In Abbildung \ref{fig:2DQuad:sem:err} haben wir die Ergebnisse des Fehlers gegenüber der tatsächlichen Lösung und der Fehlerschätzer $\tilde mu,\eta$ für die drei Strategien in Abhängigkeit der Elementanzahl vom Netz $\T_{\ell}$ eingezeichnet. Anhand der \figLineA[]farbenen Linie, welche den Fehler und Fehlerschätzer der "`analytischen"' Strategie zeigt, beobachten wir wieder eine gute Konvergenzrate bis etwa 2000 Elemente. Ab dieser Grenze, die auch in \figErr[] eingetragen wurde, erkennen wir deutlich, dass der $\tilde \mu$ Schätzer im Gegensatz zu den anderen Strategien wieder steigt. Der Fehler und $\eta$ Schätzer bleibt für die "`analytische"' Strategie in diesem Vergleich jedoch weiterhin stabil, was auf die Wahl des Steuerparameters der Verfeinerung zurückzuführen ist. An den Linien in \figLineB[] und \figLineC[] können wir die Ergebnisse für die "`semianalytische QE"' und "`volle Quadratur"' Strategie ablesen. Beide Strategien führen zu den selben Ergebnissen und zeigen auch für Berechnungen über 2000 Elemente eine gute Konvergenzrate von $N^{-3/4}$. +In Abbildung \ref{fig:2DQuad:sem:err} haben wir die Ergebnisse des Fehlers gegenüber der tatsächlichen Lösung und der Fehlerschätzer $\tilde mu,\eta$ für die drei Strategien in Abhängigkeit der Elementanzahl vom Netz $\T_{\ell}$ eingezeichnet. Anhand der \figLineA[]farbenen Linie, welche den Fehler und Fehlerschätzer der "`analytischen"' Strategie zeigt, beobachten wir wieder eine gute Konvergenzrate bis etwa 2000 Elemente. Ab dieser Grenze, die auch in \figErr[] eingetragen wurde, erkennen wir deutlich, dass der $\tilde \mu$ Schätzer im Gegensatz zu den anderen Strategien wieder steigt. Der Fehler und $\eta$ Schätzer bleibt für die "`analytische"' Strategie in diesem Vergleich jedoch weiterhin stabil, was auf die Wahl des Steuerparameters der Verfeinerung zurückzuführen ist. An den Linien in \figLineB[] und \figLineC[] können wir die Ergebnisse für die "`semianalytische QE"' und "`volle Quadratur"' Strategie ablesen. Beide Strategien führen zu den selben Ergebnissen und zeigen auch für Berechnungen über +2000 Elemente eine gute Konvergenzrate von $N^{-3/4}$. \noindent In Abbildung \ref{fig:2DQuad:sem:cond} vergleichen wir noch einmal die Konditionszahlen der $\hat V_{\ell}$ Matrix für die verschiedenen Strategien. Auch hier wurde die \figErr[e] Grenzlinie bei etwa 2000 Elementen eingezeichnet. Anhand der Linie in \figLineA[] erkennen wir deutlich, dass ab der 2000 Elemente Grenze die Konditionszahlen für die analytische Berechnung sprunghaft gegenüber den Konditionszahlen der beiden Quadraturn in \figLineB[] und \figLineC[] ansteigen. Wir erkennen an dieser Stelle aber auch, dass die Kondtionszahlen der "`analytischen"' Berechnung schon ab 1000 Elementen von den Quadraturen geringfügig Abweichen und damit auf eine ungünstige Berechnung hindeuten. @@ -2301,14 +2292,15 @@ Auch hier wurde die Energienorm $\enorm{\phi}^2 \approx 16.2265$ der exakten Lö \begin{figure}[ht] \centering \subfloat[Startnetz \label{fig:mesh:3DFichCube:start}]{\includegraphics[width=0.5\textwidth]{fig/exmpl_3DFichCube_ref}} - \subfloat[Netz nach 6 Schritten mit 381 Elementen \label{fig:mesh:3DFichCube:start}]{\includegraphics[width=0.5\textwidth]{fig/exmpl_3DFichCube_6}} + \subfloat[Netz nach 6 Schritten mit 381 Elementen \label{fig:mesh:3DFichCube:steps}]{\includegraphics[width=0.5\textwidth]{fig/exmpl_3DFichCube_6}} \caption{Fischer Würfel} \label{fig:mesh:3DFichCube} \end{figure} +\noindent +Bei den folgenden Berechnungen werden wir wieder den Algorithmus \ref{alg:adapt} mit Parametern $\theta=0.5,\nu=0.5$ zum Lösen von \eqref{math:bsp:FichCube:gls} verwenden, wobei für alle auftretenden Gauss-Quadraturen der Grad 4 gewählt wurde. Alle Berechnungsarten werden auf den selben Netzen ausgeführt um die Ergebnisse nicht durch die Wahl des Netzes zu beeinflussen.\\ +Wir werden nun die Matrix $\hat V_{\ell}$ in der "`analytischen"' Strategie durch die in Kapitel \ref{sec:analyt} vorgestellten Stammfunktionen analytisch berechnen. - -Siehe Abbildung \ref{fig:3DFichCube:sem}. \begin{figure}[ht] @@ -2324,11 +2316,17 @@ Siehe Abbildung \ref{fig:3DFichCube:sem}. \end{figure} +\noindent +In Abbildung \ref{fig:3DFichCube:sem:err} betrachten wir den Fehler und die Fehlerschätzer $\eta,\tilde \mu$ der Galerkin-Lösung für die verschiedenen Strategien. Gerechnet wurde hierbei bis zu einer Elementanzahl von etwa 8000. Anhand der Linien in \figLineA[] erkennen wir für die "`analytische"' Berechnung wieder die erwartete Konvergenzrate von $N^{-3/4}$. Da die Kurven des $\tilde \mu$ und $\eta$ Schätzers wieder parallel zum Fehler verlaufen, sind die Fehlerschätzer $\tilde \mu$ und $\eta$ effektiv und zuverlässig. Ab 4000 Elementen beobachten wir am $\tilde \mu$ Schätzer, dass die Lösung instabil wird. Diese Grenze haben wir in \figErr[] eingezeichnet. Weiterhin erkennen wir anhand der Linien in \figLineB[] und \figLineC[], dass die Berechnungen mithilfe von Quadratur weiterhin stabil bleiben und wir dadurch einen Fehler der Energienorm von etwa 0.01 erreichen. +\noindent +Die Konditionszahlen der $\hat V_{\ell}$ Matrix sehen wir in Abbildung \ref{fig:3DFichCube:sem:cond}. Bis zu der Elementanzahl 4000 steigt die Kondition der Matrix für alle Strategien auf $10^9$ an. Für feinere Netze, erkennen wir ab der Grenze von 4000 Elementen wieder den sprunghaften Anstieg der Konditionszahl für die "`analytische"' Berechnung in \figLineA[]. +\noindent +\todo{FAZIT} - +\subsection{Beispiel Neztverfeinerung} @@ -2370,8 +2368,26 @@ Siehe Abbildung \ref{fig:3DFichCube:sem}. % \showMesh[Beispiel 1.1]{exmpl11} -\showMesh[Beispiel 1.2]{exmpl12} -\showMesh[Beispiel 1.3]{exmpl13} + +\begin{figure}[ht] +\caption{Beispiel 1.2} +\label{exmpl12} +\centering +\subfloat[Lage]{\includegraphics[width=0.55\textwidth]{fig/exmpl12_ref}} +\subfloat[Koordinaten]{\input{fig/exmpl12_coo}}\\ +\subfloat[Elemente]{\input{fig/exmpl12_ele}} +\subfloat[Nachbarn]{\input{fig/exmpl12_nei}} +\end{figure} + +\begin{figure}[ht] +\caption{Beispiel 1.3} +\label{exmpl13} +\centering +\subfloat[Lage]{\includegraphics[width=0.55\textwidth]{fig/exmpl13_ref}} +\subfloat[Koordinaten]{\input{fig/exmpl13_coo}}\\ +\subfloat[Elemente]{\input{fig/exmpl13_ele}} +\subfloat[Nachbarn]{\input{fig/exmpl13_nei}} +\end{figure} % \begin{figure}[ht] % \caption{Weitere Objekt Beispiele} diff --git a/doc/fig/2222t05n05_2DQuad_cond.eps b/doc/fig/2222t05n05_2DQuad_cond.eps index aa1a8b6..fd4bd28 100644 --- a/doc/fig/2222t05n05_2DQuad_cond.eps +++ b/doc/fig/2222t05n05_2DQuad_cond.eps @@ -1,7 +1,7 @@ %!PS-Adobe-2.0 EPSF-1.2 %%Creator: MATLAB, The MathWorks, Inc. Version 8.1.0.604 (R2013a). Operating System: Linux 3.7.0-7-generic #15-Ubuntu SMP Sat Dec 15 16:34:25 UTC 2012 x86_64. %%Title: ../doc/fig/2222t05n05_2DQuad_cond.eps -%%CreationDate: 04/14/2013 17:44:02 +%%CreationDate: 04/24/2013 13:46:41 %%DocumentNeededFonts: Helvetica %%DocumentProcessColors: Cyan Magenta Yellow Black %%Extensions: CMYK @@ -597,11 +597,11 @@ SO gs 624 270 3721 2936 MR c np /c8 { 0.000000 0.300000 0.300000 sr} bdef c8 -128 -187 120 26 122 -166 107 -177 99 32 97 -133 94 4 87 -182 -72 -149 55 -17 84 -159 54 0 64 2 60 -180 61 94 61 -189 -45 0 62 -190 48 0 52 0 70 -189 51 0 90 -189 71 0 -103 2 123 -185 190 -168 254 -167 560 -70 1183 2994 30 MP stroke -gs 1132 406 3187 2640 MR c np +122 -166 107 -177 99 32 97 -133 94 4 87 -182 72 -149 55 -17 +84 -159 54 0 64 2 60 -180 61 94 61 -189 45 0 62 -190 +48 0 52 0 70 -189 51 0 90 -189 71 0 103 2 123 -185 +190 -168 254 -167 560 -70 1183 2994 28 MP stroke +gs 1132 567 2939 2479 MR c np 25 25 1183 2994 FO 25 25 1743 2924 FO 25 25 1997 2757 FO @@ -630,17 +630,15 @@ gs 1132 406 3187 2640 MR c np 25 25 3790 961 FO 25 25 3897 784 FO 25 25 4019 618 FO - 25 25 4139 644 FO - 25 25 4267 457 FO gr /c9 { 0.000000 0.600000 0.600000 sr} bdef c9 -128 -187 120 26 122 -166 107 -177 99 32 97 -133 94 4 87 -181 -72 -150 55 -17 84 -159 54 0 64 2 60 -180 61 94 61 -189 -45 0 62 -190 48 0 52 0 70 -189 51 0 90 -189 71 0 -103 2 123 -185 190 -168 254 -166 560 -71 1183 2994 30 MP stroke -gs 1132 406 3187 2640 MR c np +122 -166 107 -177 99 32 97 -133 94 4 87 -181 72 -150 55 -17 +84 -159 54 0 64 2 60 -180 61 94 61 -189 45 0 62 -190 +48 0 52 0 70 -189 51 0 90 -189 71 0 103 2 123 -185 +190 -168 254 -166 560 -71 1183 2994 28 MP stroke +gs 1132 567 2939 2479 MR c np 0 j 29 50 -58 0 29 -50 1183 3027 4 MP DP @@ -698,19 +696,15 @@ DP DP 29 50 -58 0 29 -50 4019 651 4 MP DP -29 50 -58 0 29 -50 4139 677 4 MP -DP -29 50 -58 0 29 -50 4267 490 4 MP -DP gr /c10 { 0.600000 0.000000 0.600000 sr} bdef c10 -128 -187 120 26 122 -166 107 -177 99 32 97 -133 94 4 87 -181 -72 -150 55 -17 84 -159 54 0 64 2 60 -180 61 94 61 -189 -45 0 62 -190 48 0 52 0 70 -189 51 0 90 -189 71 0 -103 2 123 -185 190 -168 254 -166 560 -71 1183 2994 30 MP stroke -gs 1132 406 3187 2640 MR c np +122 -166 107 -177 99 32 97 -133 94 4 87 -181 72 -150 55 -17 +84 -159 54 0 64 2 60 -180 61 94 61 -189 45 0 62 -190 +48 0 52 0 70 -189 51 0 90 -189 71 0 103 2 123 -185 +190 -168 254 -166 560 -71 1183 2994 28 MP stroke +gs 1132 567 2939 2479 MR c np 1166 2977 mt 1200 3011 L 1200 2977 mt 1166 3011 L 1726 2906 mt 1760 2940 L @@ -767,19 +761,15 @@ gs 1132 406 3187 2640 MR c np 3914 767 mt 3880 801 L 4002 601 mt 4036 635 L 4036 601 mt 4002 635 L -4122 627 mt 4156 661 L -4156 627 mt 4122 661 L -4250 440 mt 4284 474 L -4284 440 mt 4250 474 L gr /c11 { 0.000000 0.000000 0.900000 sr} bdef c11 -128 -187 120 26 122 -166 107 -177 99 32 97 -133 94 4 87 -181 -72 -150 55 -17 84 -159 54 0 64 2 60 -180 61 94 61 -189 -45 0 62 -190 48 0 52 0 70 -189 51 0 90 -189 71 0 -103 2 123 -185 190 -168 254 -166 560 -71 1183 2994 30 MP stroke -gs 1132 406 3187 2640 MR c np +122 -166 107 -177 99 32 97 -133 94 4 87 -181 72 -150 55 -17 +84 -159 54 0 64 2 60 -180 61 94 61 -189 45 0 62 -190 +48 0 52 0 70 -189 51 0 90 -189 71 0 103 2 123 -185 +190 -168 254 -166 560 -71 1183 2994 28 MP stroke +gs 1132 567 2939 2479 MR c np 16 W 1183 2994 PD 16 W @@ -836,10 +826,6 @@ gs 1132 406 3187 2640 MR c np 3897 784 PD 16 W 4019 618 PD -16 W -4139 644 PD -16 W -4267 457 PD gr gr diff --git a/doc/fig/2222t05n05_2DQuad_error.eps b/doc/fig/2222t05n05_2DQuad_error.eps index 80a2f8f..86441c6 100644 --- a/doc/fig/2222t05n05_2DQuad_error.eps +++ b/doc/fig/2222t05n05_2DQuad_error.eps @@ -1,7 +1,7 @@ %!PS-Adobe-2.0 EPSF-1.2 %%Creator: MATLAB, The MathWorks, Inc. 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Operating System: Linux 3.7.0-7-generic #15-Ubuntu SMP Sat Dec 15 16:34:25 UTC 2012 x86_64. %%Title: ../doc/fig/2222t05n05_2DQuad_error.eps -%%CreationDate: 04/14/2013 17:44:02 +%%CreationDate: 04/24/2013 13:46:41 %%DocumentNeededFonts: Helvetica %%DocumentProcessColors: Cyan Magenta Yellow Black %%Extensions: CMYK @@ -473,11 +473,11 @@ SO gs 624 270 3721 2936 MR c np /c8 { 0.000000 0.300000 0.300000 sr} bdef c8 -128 67 120 59 122 70 107 67 99 72 97 70 94 65 87 66 -72 63 55 58 84 57 54 56 64 55 60 55 61 55 61 50 -45 49 62 51 48 50 52 53 70 52 51 51 90 53 71 56 -103 78 123 50 190 65 254 54 560 71 1183 932 30 MP stroke -gs 1132 881 3187 1821 MR c np +122 70 107 67 99 72 97 70 94 65 87 66 72 63 55 58 +84 57 54 56 64 55 60 55 61 55 61 50 45 49 62 51 +48 50 52 53 70 52 51 51 90 53 71 56 103 78 123 50 +190 65 254 54 560 71 1183 932 28 MP stroke +gs 1132 881 2939 1695 MR c np 25 25 1183 932 FO 25 25 1743 1003 FO 25 25 1997 1057 FO @@ -506,15 +506,13 @@ gs 1132 881 3187 1821 MR c np 25 25 3790 2387 FO 25 25 3897 2454 FO 25 25 4019 2524 FO - 25 25 4139 2583 FO - 25 25 4267 2650 FO gr -128 -209 120 211 122 122 107 73 99 28 97 51 94 20 87 23 -72 2 55 -1 84 45 54 1 64 -2 60 0 61 17 61 12 -45 15 62 18 48 24 52 24 70 34 51 37 90 34 71 49 -103 59 123 53 190 55 254 60 560 85 1183 1284 30 MP stroke -gs 1132 1233 3187 1252 MR c np +122 122 107 73 99 28 97 51 94 20 87 23 72 2 55 -1 +84 45 54 1 64 -2 60 0 61 17 61 12 45 15 62 18 +48 24 52 24 70 34 51 37 90 34 71 49 103 59 123 53 +190 55 254 60 560 85 1183 1284 28 MP stroke +gs 1132 1233 2939 1041 MR c np 0 j 29 50 -58 0 29 -50 1183 1317 4 MP DP @@ -572,17 +570,13 @@ DP DP 29 50 -58 0 29 -50 4019 2255 4 MP DP -29 50 -58 0 29 -50 4139 2466 4 MP -DP -29 50 -58 0 29 -50 4267 2257 4 MP -DP gr -128 -6 120 -20 122 -24 107 -39 99 -28 97 -67 94 -87 87 -306 -72 -52 55 -213 84 661 54 24 64 25 60 25 61 45 61 46 -45 48 62 48 48 50 52 48 70 54 51 52 90 50 71 58 -103 72 123 57 190 63 254 63 560 95 1183 1156 30 MP stroke -gs 1132 1105 3187 1687 MR c np +122 -24 107 -39 99 -28 97 -67 94 -87 87 -306 72 -52 55 -213 +84 661 54 24 64 25 60 25 61 45 61 46 45 48 62 48 +48 50 52 48 70 54 51 52 90 50 71 58 103 72 123 57 +190 63 254 63 560 95 1183 1156 28 MP stroke +gs 1132 1105 2939 1687 MR c np 1166 1139 mt 1200 1173 L 1200 1139 mt 1166 1173 L 1726 1234 mt 1760 1268 L @@ -639,19 +633,15 @@ gs 1132 1105 3187 1687 MR c np 3914 1931 mt 3880 1965 L 4002 1907 mt 4036 1941 L 4036 1907 mt 4002 1941 L -4122 1887 mt 4156 1921 L -4156 1887 mt 4122 1921 L -4250 1881 mt 4284 1915 L -4284 1881 mt 4250 1915 L gr /c9 { 0.000000 0.600000 0.600000 sr} bdef c9 -128 82 120 80 122 77 107 75 99 72 97 70 94 67 87 68 -72 63 55 59 84 58 54 56 64 55 60 55 61 57 61 48 -45 49 62 50 48 50 52 53 70 51 51 52 90 53 71 56 -103 77 123 51 190 65 254 53 560 72 1183 932 30 MP stroke -gs 1132 881 3187 1877 MR c np +122 77 107 75 99 72 97 70 94 67 87 68 72 63 55 59 +84 58 54 56 64 55 60 55 61 57 61 48 45 49 62 50 +48 50 52 53 70 51 51 52 90 53 71 56 103 77 123 51 +190 65 254 53 560 72 1183 932 28 MP stroke +gs 1132 881 2939 1715 MR c np 16 W 1183 932 PD 16 W @@ -708,17 +698,13 @@ gs 1132 881 3187 1877 MR c np 3897 2467 PD 16 W 4019 2544 PD -16 W -4139 2624 PD -16 W -4267 2706 PD gr -128 93 120 105 122 74 107 71 99 54 97 41 94 51 87 44 -72 27 55 32 84 52 54 39 64 42 60 44 61 50 61 48 -45 49 62 47 48 51 52 47 70 54 51 54 90 46 71 60 -103 70 123 58 190 59 254 59 560 92 1183 1284 30 MP stroke -gs 1132 1233 3187 1716 MR c np +122 74 107 71 99 54 97 41 94 51 87 44 72 27 55 32 +84 52 54 39 64 42 60 44 61 50 61 48 45 49 62 47 +48 51 52 47 70 54 51 54 90 46 71 60 103 70 123 58 +190 59 254 59 560 92 1183 1284 28 MP stroke +gs 1132 1233 2939 1518 MR c np 0 j -29 50 -29 -50 58 0 1154 1301 4 MP DP @@ -776,17 +762,13 @@ DP DP -29 50 -29 -50 58 0 3990 2716 4 MP DP --29 50 -29 -50 58 0 4110 2821 4 MP -DP --29 50 -29 -50 58 0 4238 2914 4 MP -DP gr -128 192 120 213 122 105 107 88 99 64 97 45 94 57 87 48 -72 35 55 41 84 59 54 48 64 50 60 51 61 54 61 57 -45 55 62 52 48 54 52 51 70 56 51 54 90 50 71 59 -103 73 123 58 190 64 254 62 560 95 1183 1156 30 MP stroke -gs 1132 1105 3187 2093 MR c np +122 105 107 88 99 64 97 45 94 57 87 48 72 35 55 41 +84 59 54 48 64 50 60 51 61 54 61 57 45 55 62 52 +48 54 52 51 70 56 51 54 90 50 71 59 103 73 123 58 +190 64 254 62 560 95 1183 1156 28 MP stroke +gs 1132 1105 2939 1688 MR c np 1158 1156 mt 1208 1156 L 1183 1131 mt 1183 1181 L 1718 1251 mt 1768 1251 L @@ -843,19 +825,15 @@ gs 1132 1105 3187 2093 MR c np 3897 2611 mt 3897 2661 L 3994 2741 mt 4044 2741 L 4019 2716 mt 4019 2766 L -4114 2954 mt 4164 2954 L -4139 2929 mt 4139 2979 L -4242 3146 mt 4292 3146 L -4267 3121 mt 4267 3171 L gr /c10 { 0.600000 0.000000 0.600000 sr} bdef c10 -128 81 120 80 122 77 107 75 99 72 97 70 94 67 87 68 -72 63 55 59 84 58 54 56 64 56 60 54 61 57 61 48 -45 49 62 50 48 50 52 53 70 51 51 52 90 53 71 56 -103 77 123 51 190 65 254 53 560 72 1183 932 30 MP stroke -gs 1132 881 3187 1876 MR c np +122 77 107 75 99 72 97 70 94 67 87 68 72 63 55 59 +84 58 54 56 64 56 60 54 61 57 61 48 45 49 62 50 +48 50 52 53 70 51 51 52 90 53 71 56 103 77 123 51 +190 65 254 53 560 72 1183 932 28 MP stroke +gs 1132 881 2939 1715 MR c np 0 j -14 -11 5 -17 -15 10 -14 -10 5 17 -14 11 18 0 5 17 6 -17 18 0 1159 924 11 MP @@ -941,19 +919,13 @@ DP -14 -11 5 -17 -15 10 -14 -10 5 17 -14 11 18 0 5 17 6 -17 18 0 3995 2536 11 MP DP --14 -11 5 -17 -15 10 -14 -10 5 17 -14 11 18 0 5 17 -6 -17 18 0 4115 2616 11 MP -DP --14 -11 5 -17 -15 10 -14 -10 5 17 -14 11 18 0 5 17 -6 -17 18 0 4243 2697 11 MP -DP gr -128 66 120 79 122 64 107 65 99 51 97 36 94 52 87 44 -72 29 55 33 84 52 54 40 64 43 60 46 61 50 61 48 -45 49 62 47 48 52 52 46 70 55 51 54 90 46 71 60 -103 70 123 58 190 59 254 59 560 92 1183 1284 30 MP stroke -gs 1132 1233 3187 1648 MR c np +122 64 107 65 99 51 97 36 94 52 87 44 72 29 55 33 +84 52 54 40 64 43 60 46 61 50 61 48 45 49 62 47 +48 52 52 46 70 55 51 54 90 46 71 60 103 70 123 58 +190 59 254 59 560 92 1183 1284 28 MP stroke +gs 1132 1233 2939 1503 MR c np 0 j 0 -40 -40 0 0 40 40 0 1163 1264 5 MP DP @@ -1011,17 +983,13 @@ DP DP 0 -40 -40 0 0 40 40 0 3999 2664 5 MP DP -0 -40 -40 0 0 40 40 0 4119 2743 5 MP -DP -0 -40 -40 0 0 40 40 0 4247 2809 5 MP -DP gr -128 73 120 83 122 66 107 66 99 52 97 39 94 53 87 45 -72 35 55 40 84 58 54 47 64 51 60 50 61 54 61 57 -45 55 62 52 48 54 52 51 70 56 51 54 90 50 71 59 -103 73 123 58 190 64 254 62 560 95 1183 1156 30 MP stroke -gs 1132 1105 3187 1755 MR c np +122 66 107 66 99 52 97 39 94 53 87 45 72 35 55 40 +84 58 54 47 64 51 60 50 61 54 61 57 45 55 62 52 +48 54 52 51 70 56 51 54 90 50 71 59 103 73 123 58 +190 64 254 62 560 95 1183 1156 28 MP stroke +gs 1132 1105 2939 1599 MR c np 0 j 25 33 -25 33 -25 -33 25 -33 1183 1189 5 MP DP @@ -1079,19 +1047,15 @@ DP DP 25 33 -25 33 -25 -33 25 -33 4019 2685 5 MP DP -25 33 -25 33 -25 -33 25 -33 4139 2768 5 MP -DP -25 33 -25 33 -25 -33 25 -33 4267 2841 5 MP -DP gr /c11 { 0.000000 0.000000 0.900000 sr} bdef c11 -128 81 120 80 122 77 107 75 99 72 97 70 94 67 87 68 -72 63 55 59 84 58 54 56 64 56 60 54 61 57 61 48 -45 49 62 50 48 50 52 53 70 51 51 52 90 53 71 56 -103 77 123 51 190 65 254 53 560 72 1183 932 30 MP stroke -gs 1132 881 3187 1876 MR c np +122 77 107 75 99 72 97 70 94 67 87 68 72 63 55 59 +84 58 54 56 64 56 60 54 61 57 61 48 45 49 62 50 +48 50 52 53 70 51 51 52 90 53 71 56 103 77 123 51 +190 65 254 53 560 72 1183 932 28 MP stroke +gs 1132 881 2939 1715 MR c np 25 25 1183 932 FO 25 25 1743 1004 FO 25 25 1997 1057 FO @@ -1120,15 +1084,13 @@ gs 1132 881 3187 1876 MR c np 25 25 3790 2392 FO 25 25 3897 2467 FO 25 25 4019 2544 FO - 25 25 4139 2624 FO - 25 25 4267 2705 FO gr -128 66 120 79 122 64 107 65 99 51 97 36 94 52 87 44 -72 29 55 33 84 52 54 40 64 43 60 46 61 50 61 48 -45 49 62 47 48 52 52 46 70 55 51 54 90 46 71 60 -103 70 123 58 190 59 254 59 560 92 1183 1284 30 MP stroke -gs 1132 1233 3187 1648 MR c np +122 64 107 65 99 51 97 36 94 52 87 44 72 29 55 33 +84 52 54 40 64 43 60 46 61 50 61 48 45 49 62 47 +48 52 52 46 70 55 51 54 90 46 71 60 103 70 123 58 +190 59 254 59 560 92 1183 1284 28 MP stroke +gs 1132 1233 2939 1503 MR c np 0 j 29 50 -58 0 29 -50 1183 1317 4 MP DP @@ -1186,17 +1148,13 @@ DP DP 29 50 -58 0 29 -50 4019 2717 4 MP DP -29 50 -58 0 29 -50 4139 2796 4 MP -DP -29 50 -58 0 29 -50 4267 2862 4 MP -DP gr -128 73 120 83 122 66 107 66 99 52 97 39 94 53 87 45 -72 35 55 40 84 58 54 47 64 51 60 50 61 54 61 57 -45 55 62 52 48 54 52 51 70 56 51 54 90 50 71 59 -103 73 123 58 190 64 254 62 560 95 1183 1156 30 MP stroke -gs 1132 1105 3187 1755 MR c np +122 66 107 66 99 52 97 39 94 53 87 45 72 35 55 40 +84 58 54 47 64 51 60 50 61 54 61 57 45 55 62 52 +48 54 52 51 70 56 51 54 90 50 71 59 103 73 123 58 +190 64 254 62 560 95 1183 1156 28 MP stroke +gs 1132 1105 2939 1599 MR c np 1166 1139 mt 1200 1173 L 1200 1139 mt 1166 1173 L 1726 1234 mt 1760 1268 L @@ -1253,29 +1211,25 @@ gs 1132 1105 3187 1755 MR c np 3914 2569 mt 3880 2603 L 4002 2635 mt 4036 2669 L 4036 2635 mt 4002 2669 L -4122 2718 mt 4156 2752 L -4156 2718 mt 4122 2752 L -4250 2791 mt 4284 2825 L -4284 2791 mt 4250 2825 L gr DD /c12 { 0.900000 0.600000 0.000000 sr} bdef c12 -128 50 120 48 122 47 107 43 99 39 97 38 94 37 87 34 -72 29 55 21 84 34 54 21 64 25 60 24 61 24 61 24 -45 18 62 24 48 19 52 21 70 27 51 21 90 35 71 28 -103 41 123 48 190 75 254 100 560 221 1183 524 30 MP stroke +122 47 107 43 99 39 97 38 94 37 87 34 72 29 55 21 +84 34 54 21 64 25 60 24 61 24 61 24 45 18 62 24 +48 19 52 21 70 27 51 21 90 35 71 28 103 41 123 48 +190 75 254 100 560 221 1183 524 28 MP stroke DO -128 25 120 24 122 24 107 21 99 20 97 19 94 18 87 18 -72 14 55 11 84 16 54 11 64 13 60 11 61 12 61 12 -45 9 62 13 48 9 52 10 70 14 51 10 90 18 71 14 -103 20 123 24 190 38 254 50 560 110 1183 764 30 MP stroke +122 24 107 21 99 20 97 19 94 18 87 18 72 14 55 11 +84 16 54 11 64 13 60 11 61 12 61 12 45 9 62 13 +48 9 52 10 70 14 51 10 90 18 71 14 103 20 123 24 +190 38 254 50 560 110 1183 764 28 MP stroke DA -128 75 120 72 122 71 107 64 99 59 97 57 94 55 87 52 -72 43 55 32 84 50 54 32 64 38 60 35 61 36 61 36 -45 27 62 37 48 28 52 31 70 41 51 31 90 53 71 42 -103 61 123 72 190 113 254 150 560 331 1183 1114 30 MP stroke +122 71 107 64 99 59 97 57 94 55 87 52 72 43 55 32 +84 50 54 32 64 38 60 35 61 36 61 36 45 27 62 37 +48 28 52 31 70 41 51 31 90 53 71 42 103 61 123 72 +190 113 254 150 560 331 1183 1114 28 MP stroke gr c12 diff --git a/doc/fig/2222t05n05_2DQuad_hminmax.eps b/doc/fig/2222t05n05_2DQuad_hminmax.eps index 7229e50..4ea1740 100644 --- a/doc/fig/2222t05n05_2DQuad_hminmax.eps +++ b/doc/fig/2222t05n05_2DQuad_hminmax.eps @@ -1,7 +1,7 @@ %!PS-Adobe-2.0 EPSF-1.2 %%Creator: MATLAB, The MathWorks, Inc. Version 8.1.0.604 (R2013a). Operating System: Linux 3.7.0-7-generic #15-Ubuntu SMP Sat Dec 15 16:34:25 UTC 2012 x86_64. %%Title: ../doc/fig/2222t05n05_2DQuad_hminmax.eps -%%CreationDate: 04/14/2013 17:44:02 +%%CreationDate: 04/24/2013 13:46:41 %%DocumentNeededFonts: Helvetica %%DocumentProcessColors: Cyan Magenta Yellow Black %%Extensions: CMYK @@ -565,11 +565,11 @@ SO gs 624 270 3721 2936 MR c np /c8 { 0.000000 0.300000 0.300000 sr} bdef c8 -128 121 120 121 122 121 107 121 99 121 97 121 94 121 87 121 -72 0 55 121 84 121 54 121 64 121 60 0 61 121 61 121 -45 121 62 0 48 121 52 0 70 121 51 121 90 0 71 121 -103 0 123 121 190 121 254 121 560 0 1183 391 30 MP stroke -gs 1132 340 3187 2765 MR c np +122 121 107 121 99 121 97 121 94 121 87 121 72 0 55 121 +84 121 54 121 64 121 60 0 61 121 61 121 45 121 62 0 +48 121 52 0 70 121 51 121 90 0 71 121 103 0 123 121 +190 121 254 121 560 0 1183 391 28 MP stroke +gs 1132 340 2939 2523 MR c np 25 25 1183 391 FO 25 25 1743 391 FO 25 25 1997 512 FO @@ -598,15 +598,13 @@ gs 1132 340 3187 2765 MR c np 25 25 3790 2569 FO 25 25 3897 2690 FO 25 25 4019 2811 FO - 25 25 4139 2932 FO - 25 25 4267 3053 FO gr -128 121 120 0 122 121 107 121 99 0 97 121 94 0 87 121 -72 121 55 0 84 121 54 0 64 0 60 121 61 0 61 121 -45 0 62 121 48 0 52 0 70 121 51 0 90 121 71 0 -103 0 123 121 190 121 254 121 560 0 1183 391 30 MP stroke -gs 1132 340 3187 1918 MR c np +122 121 107 121 99 0 97 121 94 0 87 121 72 121 55 0 +84 121 54 0 64 0 60 121 61 0 61 121 45 0 62 121 +48 0 52 0 70 121 51 0 90 121 71 0 103 0 123 121 +190 121 254 121 560 0 1183 391 28 MP stroke +gs 1132 340 2939 1797 MR c np 0 j 29 50 -58 0 29 -50 1183 424 4 MP DP @@ -664,17 +662,13 @@ DP DP 29 50 -58 0 29 -50 4019 2118 4 MP DP -29 50 -58 0 29 -50 4139 2118 4 MP -DP -29 50 -58 0 29 -50 4267 2239 4 MP -DP gr -128 121 120 121 122 121 107 121 99 121 97 121 94 121 87 121 -72 0 55 121 84 121 54 121 64 121 60 0 61 121 61 121 -45 121 62 0 48 121 52 0 70 121 51 121 90 0 71 121 -103 121 123 121 190 0 254 121 560 0 1183 391 30 MP stroke -gs 1132 340 3187 2765 MR c np +122 121 107 121 99 121 97 121 94 121 87 121 72 0 55 121 +84 121 54 121 64 121 60 0 61 121 61 121 45 121 62 0 +48 121 52 0 70 121 51 121 90 0 71 121 103 121 123 121 +190 0 254 121 560 0 1183 391 28 MP stroke +gs 1132 340 2939 2523 MR c np 1166 374 mt 1200 408 L 1200 374 mt 1166 408 L 1726 374 mt 1760 408 L @@ -731,19 +725,15 @@ gs 1132 340 3187 2765 MR c np 3914 2673 mt 3880 2707 L 4002 2794 mt 4036 2828 L 4036 2794 mt 4002 2828 L -4122 2915 mt 4156 2949 L -4156 2915 mt 4122 2949 L -4250 3036 mt 4284 3070 L -4284 3036 mt 4250 3070 L gr /c9 { 0.000000 0.600000 0.600000 sr} bdef c9 -128 121 120 121 122 121 107 121 99 121 97 121 94 121 87 121 -72 0 55 121 84 121 54 121 64 121 60 0 61 121 61 121 -45 121 62 0 48 121 52 0 70 121 51 121 90 0 71 121 -103 0 123 121 190 121 254 121 560 0 1183 391 30 MP stroke -gs 1132 340 3187 2765 MR c np +122 121 107 121 99 121 97 121 94 121 87 121 72 0 55 121 +84 121 54 121 64 121 60 0 61 121 61 121 45 121 62 0 +48 121 52 0 70 121 51 121 90 0 71 121 103 0 123 121 +190 121 254 121 560 0 1183 391 28 MP stroke +gs 1132 340 2939 2523 MR c np 16 W 1183 391 PD 16 W @@ -800,17 +790,13 @@ gs 1132 340 3187 2765 MR c np 3897 2690 PD 16 W 4019 2811 PD -16 W -4139 2932 PD -16 W -4267 3053 PD gr -128 121 120 0 122 121 107 121 99 0 97 121 94 0 87 121 -72 121 55 0 84 121 54 0 64 0 60 121 61 0 61 121 -45 0 62 121 48 0 52 0 70 121 51 0 90 121 71 0 -103 0 123 121 190 121 254 121 560 0 1183 391 30 MP stroke -gs 1132 340 3187 1918 MR c np +122 121 107 121 99 0 97 121 94 0 87 121 72 121 55 0 +84 121 54 0 64 0 60 121 61 0 61 121 45 0 62 121 +48 0 52 0 70 121 51 0 90 121 71 0 103 0 123 121 +190 121 254 121 560 0 1183 391 28 MP stroke +gs 1132 340 2939 1797 MR c np 0 j -29 50 -29 -50 58 0 1154 408 4 MP DP @@ -868,17 +854,13 @@ DP DP -29 50 -29 -50 58 0 3990 2102 4 MP DP --29 50 -29 -50 58 0 4110 2102 4 MP -DP --29 50 -29 -50 58 0 4238 2223 4 MP -DP gr -128 121 120 121 122 121 107 121 99 121 97 121 94 121 87 121 -72 0 55 121 84 121 54 121 64 121 60 0 61 121 61 121 -45 121 62 0 48 121 52 0 70 121 51 121 90 0 71 121 -103 121 123 121 190 0 254 121 560 0 1183 391 30 MP stroke -gs 1132 340 3187 2765 MR c np +122 121 107 121 99 121 97 121 94 121 87 121 72 0 55 121 +84 121 54 121 64 121 60 0 61 121 61 121 45 121 62 0 +48 121 52 0 70 121 51 121 90 0 71 121 103 121 123 121 +190 0 254 121 560 0 1183 391 28 MP stroke +gs 1132 340 2939 2523 MR c np 1158 391 mt 1208 391 L 1183 366 mt 1183 416 L 1718 391 mt 1768 391 L @@ -935,19 +917,15 @@ gs 1132 340 3187 2765 MR c np 3897 2665 mt 3897 2715 L 3994 2811 mt 4044 2811 L 4019 2786 mt 4019 2836 L -4114 2932 mt 4164 2932 L -4139 2907 mt 4139 2957 L -4242 3053 mt 4292 3053 L -4267 3028 mt 4267 3078 L gr /c10 { 0.600000 0.000000 0.600000 sr} bdef c10 -128 121 120 121 122 121 107 121 99 121 97 121 94 121 87 121 -72 0 55 121 84 121 54 121 64 121 60 0 61 121 61 121 -45 121 62 0 48 121 52 0 70 121 51 121 90 0 71 121 -103 0 123 121 190 121 254 121 560 0 1183 391 30 MP stroke -gs 1132 340 3187 2765 MR c np +122 121 107 121 99 121 97 121 94 121 87 121 72 0 55 121 +84 121 54 121 64 121 60 0 61 121 61 121 45 121 62 0 +48 121 52 0 70 121 51 121 90 0 71 121 103 0 123 121 +190 121 254 121 560 0 1183 391 28 MP stroke +gs 1132 340 2939 2523 MR c np 0 j -14 -11 5 -17 -15 10 -14 -10 5 17 -14 11 18 0 5 17 6 -17 18 0 1159 383 11 MP @@ -1033,19 +1011,13 @@ DP -14 -11 5 -17 -15 10 -14 -10 5 17 -14 11 18 0 5 17 6 -17 18 0 3995 2803 11 MP DP --14 -11 5 -17 -15 10 -14 -10 5 17 -14 11 18 0 5 17 -6 -17 18 0 4115 2924 11 MP -DP --14 -11 5 -17 -15 10 -14 -10 5 17 -14 11 18 0 5 17 -6 -17 18 0 4243 3045 11 MP -DP gr -128 121 120 0 122 121 107 121 99 0 97 121 94 0 87 121 -72 121 55 0 84 121 54 0 64 0 60 121 61 0 61 121 -45 0 62 121 48 0 52 0 70 121 51 0 90 121 71 0 -103 0 123 121 190 121 254 121 560 0 1183 391 30 MP stroke -gs 1132 340 3187 1918 MR c np +122 121 107 121 99 0 97 121 94 0 87 121 72 121 55 0 +84 121 54 0 64 0 60 121 61 0 61 121 45 0 62 121 +48 0 52 0 70 121 51 0 90 121 71 0 103 0 123 121 +190 121 254 121 560 0 1183 391 28 MP stroke +gs 1132 340 2939 1797 MR c np 0 j 0 -40 -40 0 0 40 40 0 1163 371 5 MP DP @@ -1103,17 +1075,13 @@ DP DP 0 -40 -40 0 0 40 40 0 3999 2065 5 MP DP -0 -40 -40 0 0 40 40 0 4119 2065 5 MP -DP -0 -40 -40 0 0 40 40 0 4247 2186 5 MP -DP gr -128 121 120 121 122 121 107 121 99 121 97 121 94 121 87 121 -72 0 55 121 84 121 54 121 64 121 60 0 61 121 61 121 -45 121 62 0 48 121 52 0 70 121 51 121 90 0 71 121 -103 121 123 121 190 0 254 121 560 0 1183 391 30 MP stroke -gs 1132 340 3187 2765 MR c np +122 121 107 121 99 121 97 121 94 121 87 121 72 0 55 121 +84 121 54 121 64 121 60 0 61 121 61 121 45 121 62 0 +48 121 52 0 70 121 51 121 90 0 71 121 103 121 123 121 +190 0 254 121 560 0 1183 391 28 MP stroke +gs 1132 340 2939 2523 MR c np 0 j 25 33 -25 33 -25 -33 25 -33 1183 424 5 MP DP @@ -1171,19 +1139,15 @@ DP DP 25 33 -25 33 -25 -33 25 -33 4019 2844 5 MP DP -25 33 -25 33 -25 -33 25 -33 4139 2965 5 MP -DP -25 33 -25 33 -25 -33 25 -33 4267 3086 5 MP -DP gr /c11 { 0.000000 0.000000 0.900000 sr} bdef c11 -128 121 120 121 122 121 107 121 99 121 97 121 94 121 87 121 -72 0 55 121 84 121 54 121 64 121 60 0 61 121 61 121 -45 121 62 0 48 121 52 0 70 121 51 121 90 0 71 121 -103 0 123 121 190 121 254 121 560 0 1183 391 30 MP stroke -gs 1132 340 3187 2765 MR c np +122 121 107 121 99 121 97 121 94 121 87 121 72 0 55 121 +84 121 54 121 64 121 60 0 61 121 61 121 45 121 62 0 +48 121 52 0 70 121 51 121 90 0 71 121 103 0 123 121 +190 121 254 121 560 0 1183 391 28 MP stroke +gs 1132 340 2939 2523 MR c np 25 25 1183 391 FO 25 25 1743 391 FO 25 25 1997 512 FO @@ -1212,15 +1176,13 @@ gs 1132 340 3187 2765 MR c np 25 25 3790 2569 FO 25 25 3897 2690 FO 25 25 4019 2811 FO - 25 25 4139 2932 FO - 25 25 4267 3053 FO gr -128 121 120 0 122 121 107 121 99 0 97 121 94 0 87 121 -72 121 55 0 84 121 54 0 64 0 60 121 61 0 61 121 -45 0 62 121 48 0 52 0 70 121 51 0 90 121 71 0 -103 0 123 121 190 121 254 121 560 0 1183 391 30 MP stroke -gs 1132 340 3187 1918 MR c np +122 121 107 121 99 0 97 121 94 0 87 121 72 121 55 0 +84 121 54 0 64 0 60 121 61 0 61 121 45 0 62 121 +48 0 52 0 70 121 51 0 90 121 71 0 103 0 123 121 +190 121 254 121 560 0 1183 391 28 MP stroke +gs 1132 340 2939 1797 MR c np 0 j 29 50 -58 0 29 -50 1183 424 4 MP DP @@ -1278,17 +1240,13 @@ DP DP 29 50 -58 0 29 -50 4019 2118 4 MP DP -29 50 -58 0 29 -50 4139 2118 4 MP -DP -29 50 -58 0 29 -50 4267 2239 4 MP -DP gr -128 121 120 121 122 121 107 121 99 121 97 121 94 121 87 121 -72 0 55 121 84 121 54 121 64 121 60 0 61 121 61 121 -45 121 62 0 48 121 52 0 70 121 51 121 90 0 71 121 -103 121 123 121 190 0 254 121 560 0 1183 391 30 MP stroke -gs 1132 340 3187 2765 MR c np +122 121 107 121 99 121 97 121 94 121 87 121 72 0 55 121 +84 121 54 121 64 121 60 0 61 121 61 121 45 121 62 0 +48 121 52 0 70 121 51 121 90 0 71 121 103 121 123 121 +190 0 254 121 560 0 1183 391 28 MP stroke +gs 1132 340 2939 2523 MR c np 1166 374 mt 1200 408 L 1200 374 mt 1166 408 L 1726 374 mt 1760 408 L @@ -1345,10 +1303,6 @@ gs 1132 340 3187 2765 MR c np 3914 2673 mt 3880 2707 L 4002 2794 mt 4036 2828 L 4036 2794 mt 4002 2828 L -4122 2915 mt 4156 2949 L -4156 2915 mt 4122 2949 L -4250 3036 mt 4284 3070 L -4284 3036 mt 4250 3070 L gr gr diff --git a/doc/fig/2222t05n05_2DQuad_time.eps b/doc/fig/2222t05n05_2DQuad_time.eps index 46a9a35..5497619 100644 --- a/doc/fig/2222t05n05_2DQuad_time.eps +++ b/doc/fig/2222t05n05_2DQuad_time.eps @@ -1,7 +1,7 @@ %!PS-Adobe-2.0 EPSF-1.2 %%Creator: MATLAB, The MathWorks, Inc. Version 8.1.0.604 (R2013a). Operating System: Linux 3.7.0-7-generic #15-Ubuntu SMP Sat Dec 15 16:34:25 UTC 2012 x86_64. %%Title: ../doc/fig/2222t05n05_2DQuad_time.eps -%%CreationDate: 04/14/2013 17:44:03 +%%CreationDate: 04/24/2013 13:46:42 %%DocumentNeededFonts: Helvetica %%DocumentProcessColors: Cyan Magenta Yellow Black %%Extensions: CMYK @@ -346,232 +346,202 @@ SO 537 3184 mt (-3) s - 624 3094 mt 642 3094 L -4344 3094 mt 4325 3094 L - 624 3029 mt 642 3029 L -4344 3029 mt 4325 3029 L - 624 2984 mt 642 2984 L -4344 2984 mt 4325 2984 L - 624 2948 mt 642 2948 L -4344 2948 mt 4325 2948 L - 624 2919 mt 642 2919 L -4344 2919 mt 4325 2919 L - 624 2894 mt 642 2894 L -4344 2894 mt 4325 2894 L - 624 2873 mt 642 2873 L -4344 2873 mt 4325 2873 L - 624 2854 mt 642 2854 L -4344 2854 mt 4325 2854 L - 624 2838 mt 642 2838 L -4344 2838 mt 4325 2838 L - 624 2838 mt 661 2838 L -4344 2838 mt 4306 2838 L + 624 3078 mt 642 3078 L +4344 3078 mt 4325 3078 L + 624 3004 mt 642 3004 L +4344 3004 mt 4325 3004 L + 624 2952 mt 642 2952 L +4344 2952 mt 4325 2952 L + 624 2911 mt 642 2911 L +4344 2911 mt 4325 2911 L + 624 2878 mt 642 2878 L +4344 2878 mt 4325 2878 L + 624 2850 mt 642 2850 L +4344 2850 mt 4325 2850 L + 624 2826 mt 642 2826 L +4344 2826 mt 4325 2826 L + 624 2804 mt 642 2804 L +4344 2804 mt 4325 2804 L + 624 2785 mt 642 2785 L +4344 2785 mt 4325 2785 L + 624 2785 mt 661 2785 L +4344 2785 mt 4306 2785 L %%IncludeResource: font Helvetica /Helvetica /ISOLatin1Encoding 83.3333 FMSR - 445 2868 mt + 445 2815 mt (10) s %%IncludeResource: font Helvetica /Helvetica /ISOLatin1Encoding 55.5556 FMSR - 537 2817 mt + 537 2764 mt (-2) s - 624 2727 mt 642 2727 L -4344 2727 mt 4325 2727 L - 624 2663 mt 642 2663 L -4344 2663 mt 4325 2663 L - 624 2617 mt 642 2617 L -4344 2617 mt 4325 2617 L - 624 2581 mt 642 2581 L -4344 2581 mt 4325 2581 L - 624 2552 mt 642 2552 L -4344 2552 mt 4325 2552 L - 624 2528 mt 642 2528 L -4344 2528 mt 4325 2528 L - 624 2506 mt 642 2506 L -4344 2506 mt 4325 2506 L - 624 2488 mt 642 2488 L -4344 2488 mt 4325 2488 L - 624 2471 mt 642 2471 L -4344 2471 mt 4325 2471 L - 624 2471 mt 661 2471 L -4344 2471 mt 4306 2471 L + 624 2659 mt 642 2659 L +4344 2659 mt 4325 2659 L + 624 2585 mt 642 2585 L +4344 2585 mt 4325 2585 L + 624 2533 mt 642 2533 L +4344 2533 mt 4325 2533 L + 624 2492 mt 642 2492 L +4344 2492 mt 4325 2492 L + 624 2459 mt 642 2459 L +4344 2459 mt 4325 2459 L + 624 2431 mt 642 2431 L +4344 2431 mt 4325 2431 L + 624 2407 mt 642 2407 L +4344 2407 mt 4325 2407 L + 624 2385 mt 642 2385 L +4344 2385 mt 4325 2385 L + 624 2366 mt 642 2366 L +4344 2366 mt 4325 2366 L + 624 2366 mt 661 2366 L +4344 2366 mt 4306 2366 L %%IncludeResource: font Helvetica /Helvetica /ISOLatin1Encoding 83.3333 FMSR - 445 2501 mt + 445 2396 mt (10) s %%IncludeResource: font Helvetica /Helvetica /ISOLatin1Encoding 55.5556 FMSR - 537 2450 mt + 537 2345 mt (-1) s - 624 2360 mt 642 2360 L -4344 2360 mt 4325 2360 L - 624 2296 mt 642 2296 L -4344 2296 mt 4325 2296 L - 624 2250 mt 642 2250 L -4344 2250 mt 4325 2250 L - 624 2214 mt 642 2214 L -4344 2214 mt 4325 2214 L - 624 2185 mt 642 2185 L -4344 2185 mt 4325 2185 L - 624 2161 mt 642 2161 L -4344 2161 mt 4325 2161 L - 624 2139 mt 642 2139 L -4344 2139 mt 4325 2139 L - 624 2121 mt 642 2121 L -4344 2121 mt 4325 2121 L - 624 2104 mt 642 2104 L -4344 2104 mt 4325 2104 L - 624 2104 mt 661 2104 L -4344 2104 mt 4306 2104 L + 624 2240 mt 642 2240 L +4344 2240 mt 4325 2240 L + 624 2166 mt 642 2166 L +4344 2166 mt 4325 2166 L + 624 2113 mt 642 2113 L +4344 2113 mt 4325 2113 L + 624 2073 mt 642 2073 L +4344 2073 mt 4325 2073 L + 624 2040 mt 642 2040 L +4344 2040 mt 4325 2040 L + 624 2012 mt 642 2012 L +4344 2012 mt 4325 2012 L + 624 1987 mt 642 1987 L +4344 1987 mt 4325 1987 L + 624 1966 mt 642 1966 L +4344 1966 mt 4325 1966 L + 624 1947 mt 642 1947 L +4344 1947 mt 4325 1947 L + 624 1947 mt 661 1947 L +4344 1947 mt 4306 1947 L %%IncludeResource: font Helvetica /Helvetica /ISOLatin1Encoding 83.3333 FMSR - 445 2134 mt + 445 1977 mt (10) s %%IncludeResource: font Helvetica /Helvetica /ISOLatin1Encoding 55.5556 FMSR - 537 2083 mt + 537 1926 mt (0) s - 624 1993 mt 642 1993 L -4344 1993 mt 4325 1993 L - 624 1929 mt 642 1929 L -4344 1929 mt 4325 1929 L - 624 1883 mt 642 1883 L -4344 1883 mt 4325 1883 L - 624 1847 mt 642 1847 L -4344 1847 mt 4325 1847 L - 624 1818 mt 642 1818 L -4344 1818 mt 4325 1818 L - 624 1794 mt 642 1794 L -4344 1794 mt 4325 1794 L - 624 1773 mt 642 1773 L -4344 1773 mt 4325 1773 L - 624 1754 mt 642 1754 L -4344 1754 mt 4325 1754 L - 624 1737 mt 642 1737 L -4344 1737 mt 4325 1737 L - 624 1737 mt 661 1737 L -4344 1737 mt 4306 1737 L + 624 1820 mt 642 1820 L +4344 1820 mt 4325 1820 L + 624 1747 mt 642 1747 L +4344 1747 mt 4325 1747 L + 624 1694 mt 642 1694 L +4344 1694 mt 4325 1694 L + 624 1654 mt 642 1654 L +4344 1654 mt 4325 1654 L + 624 1620 mt 642 1620 L +4344 1620 mt 4325 1620 L + 624 1592 mt 642 1592 L +4344 1592 mt 4325 1592 L + 624 1568 mt 642 1568 L +4344 1568 mt 4325 1568 L + 624 1547 mt 642 1547 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-/Helvetica /ISOLatin1Encoding 55.5556 FMSR - - 537 1349 mt -(2) s - 624 1260 mt 642 1260 L -4344 1260 mt 4325 1260 L - 624 1195 mt 642 1195 L -4344 1195 mt 4325 1195 L + 624 1401 mt 642 1401 L +4344 1401 mt 4325 1401 L + 624 1327 mt 642 1327 L +4344 1327 mt 4325 1327 L + 624 1275 mt 642 1275 L +4344 1275 mt 4325 1275 L + 624 1234 mt 642 1234 L +4344 1234 mt 4325 1234 L + 624 1201 mt 642 1201 L +4344 1201 mt 4325 1201 L + 624 1173 mt 642 1173 L +4344 1173 mt 4325 1173 L 624 1149 mt 642 1149 L 4344 1149 mt 4325 1149 L - 624 1114 mt 642 1114 L -4344 1114 mt 4325 1114 L - 624 1085 mt 642 1085 L -4344 1085 mt 4325 1085 L - 624 1060 mt 642 1060 L -4344 1060 mt 4325 1060 L - 624 1039 mt 642 1039 L -4344 1039 mt 4325 1039 L - 624 1020 mt 642 1020 L -4344 1020 mt 4325 1020 L - 624 1003 mt 642 1003 L -4344 1003 mt 4325 1003 L - 624 1003 mt 661 1003 L -4344 1003 mt 4306 1003 L + 624 1127 mt 642 1127 L +4344 1127 mt 4325 1127 L + 624 1108 mt 642 1108 L +4344 1108 mt 4325 1108 L + 624 1108 mt 661 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4325 729 L + 624 708 mt 642 708 L +4344 708 mt 4325 708 L + 624 689 mt 642 689 L +4344 689 mt 4325 689 L + 624 689 mt 661 689 L +4344 689 mt 4306 689 L %%IncludeResource: font Helvetica /Helvetica /ISOLatin1Encoding 83.3333 FMSR - 445 666 mt + 445 719 mt (10) s %%IncludeResource: font Helvetica /Helvetica /ISOLatin1Encoding 55.5556 FMSR - 537 615 mt -(4) s - 624 526 mt 642 526 L -4344 526 mt 4325 526 L - 624 461 mt 642 461 L -4344 461 mt 4325 461 L - 624 415 mt 642 415 L -4344 415 mt 4325 415 L - 624 380 mt 642 380 L -4344 380 mt 4325 380 L - 624 351 mt 642 351 L -4344 351 mt 4325 351 L - 624 326 mt 642 326 L -4344 326 mt 4325 326 L - 624 305 mt 642 305 L -4344 305 mt 4325 305 L - 624 286 mt 642 286 L -4344 286 mt 4325 286 L + 537 668 mt +(3) s + 624 563 mt 642 563 L +4344 563 mt 4325 563 L + 624 489 mt 642 489 L +4344 489 mt 4325 489 L + 624 436 mt 642 436 L +4344 436 mt 4325 436 L + 624 396 mt 642 396 L +4344 396 mt 4325 396 L + 624 363 mt 642 363 L +4344 363 mt 4325 363 L + 624 334 mt 642 334 L +4344 334 mt 4325 334 L + 624 310 mt 642 310 L +4344 310 mt 4325 310 L + 624 289 mt 642 289 L +4344 289 mt 4325 289 L 624 270 mt 642 270 L 4344 270 mt 4325 270 L 624 270 mt 661 270 L @@ -585,7 +555,7 @@ SO /Helvetica /ISOLatin1Encoding 55.5556 FMSR 537 249 mt -(5) s +(4) s 624 3205 mt 4344 3205 L 624 270 mt 4344 270 L 624 3205 mt 624 270 L @@ -593,249 +563,235 @@ SO gs 624 270 3721 2936 MR c np /c8 { 0.000000 0.300000 0.300000 sr} bdef c8 -128 -150 120 -139 122 -140 107 -125 99 -114 97 -115 94 -107 87 -102 -72 -92 55 -68 84 -118 54 -91 64 -98 60 -89 61 -12 61 -50 -45 -66 62 -49 48 -38 52 12 70 -18 51 -81 90 96 71 -76 -103 15 123 -30 190 -86 254 -145 560 494 1183 2008 30 MP stroke -gs 1132 375 3187 2179 MR c np - 25 25 1183 2008 FO - 25 25 1743 2502 FO - 25 25 1997 2357 FO - 25 25 2187 2271 FO - 25 25 2310 2241 FO - 25 25 2413 2256 FO - 25 25 2484 2180 FO - 25 25 2574 2276 FO - 25 25 2625 2195 FO - 25 25 2695 2177 FO - 25 25 2747 2189 FO - 25 25 2795 2151 FO - 25 25 2857 2102 FO - 25 25 2902 2036 FO - 25 25 2963 1986 FO - 25 25 3024 1974 FO - 25 25 3084 1885 FO - 25 25 3148 1787 FO - 25 25 3202 1696 FO - 25 25 3286 1578 FO - 25 25 3341 1510 FO - 25 25 3413 1418 FO - 25 25 3500 1316 FO - 25 25 3594 1209 FO - 25 25 3691 1094 FO - 25 25 3790 980 FO - 25 25 3897 855 FO - 25 25 4019 715 FO - 25 25 4139 576 FO - 25 25 4267 426 FO +122 -135 107 -108 99 -105 97 -103 94 -90 87 -85 72 -104 55 -22 +84 -73 54 -51 64 -73 60 -53 61 -87 61 -36 45 -35 62 -63 +48 -30 52 -46 70 -51 51 -40 90 -90 71 -53 103 -73 123 27 +190 -222 254 -88 560 158 1183 2831 28 MP stroke +gs 1132 1049 2939 1992 MR c np + 25 25 1183 2831 FO + 25 25 1743 2989 FO + 25 25 1997 2901 FO + 25 25 2187 2679 FO + 25 25 2310 2706 FO + 25 25 2413 2633 FO + 25 25 2484 2580 FO + 25 25 2574 2490 FO + 25 25 2625 2450 FO + 25 25 2695 2399 FO + 25 25 2747 2353 FO + 25 25 2795 2323 FO + 25 25 2857 2260 FO + 25 25 2902 2225 FO + 25 25 2963 2189 FO + 25 25 3024 2102 FO + 25 25 3084 2049 FO + 25 25 3148 1976 FO + 25 25 3202 1925 FO + 25 25 3286 1852 FO + 25 25 3341 1830 FO + 25 25 3413 1726 FO + 25 25 3500 1641 FO + 25 25 3594 1551 FO + 25 25 3691 1448 FO + 25 25 3790 1343 FO + 25 25 3897 1235 FO + 25 25 4019 1100 FO gr /c9 { 0.000000 0.600000 0.600000 sr} bdef c9 -128 -151 120 -139 122 -140 107 -125 99 -115 97 -114 94 -108 87 -99 -72 -94 55 -79 84 -116 54 -89 64 -102 60 -104 61 -59 61 -58 -45 -47 62 -44 48 10 52 -58 70 -65 51 -44 90 -18 71 -37 -103 -57 123 -76 190 -123 254 -105 560 -97 1183 2879 30 MP stroke -gs 1132 375 3187 2556 MR c np +122 -141 107 -115 99 -99 97 -101 94 -84 87 -94 72 -63 55 -44 +84 -88 54 -49 64 -51 60 -51 61 -56 61 -61 45 -33 62 -49 +48 -38 52 -24 70 -22 51 -81 90 -67 71 -60 103 -21 123 -49 +190 -119 254 -148 560 -38 1183 2963 28 MP stroke +gs 1132 1066 2939 1949 MR c np 0 j -29 50 -58 0 29 -50 1183 2912 4 MP +29 50 -58 0 29 -50 1183 2996 4 MP DP -29 50 -58 0 29 -50 1743 2815 4 MP +29 50 -58 0 29 -50 1743 2958 4 MP DP -29 50 -58 0 29 -50 1997 2710 4 MP +29 50 -58 0 29 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4 MP +29 50 -58 0 29 -50 3084 2079 4 MP DP -29 50 -58 0 29 -50 3148 1828 4 MP +29 50 -58 0 29 -50 3148 2028 4 MP DP -29 50 -58 0 29 -50 3202 1739 4 MP +29 50 -58 0 29 -50 3202 1979 4 MP DP -29 50 -58 0 29 -50 3286 1623 4 MP +29 50 -58 0 29 -50 3286 1891 4 MP DP -29 50 -58 0 29 -50 3341 1544 4 MP +29 50 -58 0 29 -50 3341 1847 4 MP DP -29 50 -58 0 29 -50 3413 1450 4 MP +29 50 -58 0 29 -50 3413 1784 4 MP DP -29 50 -58 0 29 -50 3500 1351 4 MP +29 50 -58 0 29 -50 3500 1690 4 MP DP -29 50 -58 0 29 -50 3594 1243 4 MP +29 50 -58 0 29 -50 3594 1606 4 MP DP -29 50 -58 0 29 -50 3691 1129 4 MP +29 50 -58 0 29 -50 3691 1505 4 MP DP -29 50 -58 0 29 -50 3790 1014 4 MP +29 50 -58 0 29 -50 3790 1406 4 MP DP -29 50 -58 0 29 -50 3897 889 4 MP +29 50 -58 0 29 -50 3897 1291 4 MP DP -29 50 -58 0 29 -50 4019 749 4 MP -DP -29 50 -58 0 29 -50 4139 610 4 MP -DP -29 50 -58 0 29 -50 4267 459 4 MP +29 50 -58 0 29 -50 4019 1150 4 MP DP gr /c10 { 0.600000 0.000000 0.600000 sr} bdef c10 -128 -150 120 -138 122 -139 107 -124 99 -113 97 -111 94 -105 87 -104 -72 -78 55 -76 84 -113 54 -67 64 -96 60 -62 61 -78 61 -53 -45 -36 62 -49 48 -32 52 -26 70 -72 51 -19 90 -71 71 -36 -103 -29 123 -85 190 -85 254 -219 560 -139 1183 2930 30 MP stroke -gs 1132 374 3187 2608 MR c np -1166 2913 mt 1200 2947 L -1200 2913 mt 1166 2947 L -1726 2774 mt 1760 2808 L -1760 2774 mt 1726 2808 L -1980 2555 mt 2014 2589 L -2014 2555 mt 1980 2589 L -2170 2470 mt 2204 2504 L -2204 2470 mt 2170 2504 L -2293 2385 mt 2327 2419 L -2327 2385 mt 2293 2419 L -2396 2356 mt 2430 2390 L -2430 2356 mt 2396 2390 L -2467 2320 mt 2501 2354 L -2501 2320 mt 2467 2354 L -2557 2249 mt 2591 2283 L -2591 2249 mt 2557 2283 L -2608 2230 mt 2642 2264 L -2642 2230 mt 2608 2264 L -2678 2158 mt 2712 2192 L -2712 2158 mt 2678 2192 L -2730 2132 mt 2764 2166 L -2764 2132 mt 2730 2166 L -2778 2100 mt 2812 2134 L -2812 2100 mt 2778 2134 L -2840 2051 mt 2874 2085 L -2874 2051 mt 2840 2085 L -2885 2015 mt 2919 2049 L -2919 2015 mt 2885 2049 L -2946 1962 mt 2980 1996 L -2980 1962 mt 2946 1996 L -3007 1884 mt 3041 1918 L -3041 1884 mt 3007 1918 L -3067 1822 mt 3101 1856 L -3101 1822 mt 3067 1856 L -3131 1726 mt 3165 1760 L -3165 1726 mt 3131 1760 L -3185 1659 mt 3219 1693 L -3219 1659 mt 3185 1693 L -3269 1546 mt 3303 1580 L -3303 1546 mt 3269 1580 L -3324 1470 mt 3358 1504 L -3358 1470 mt 3324 1504 L -3396 1392 mt 3430 1426 L -3430 1392 mt 3396 1426 L -3483 1288 mt 3517 1322 L -3517 1288 mt 3483 1322 L -3577 1183 mt 3611 1217 L -3611 1183 mt 3577 1217 L -3674 1072 mt 3708 1106 L -3708 1072 mt 3674 1106 L -3773 959 mt 3807 993 L -3807 959 mt 3773 993 L -3880 835 mt 3914 869 L -3914 835 mt 3880 869 L -4002 696 mt 4036 730 L -4036 696 mt 4002 730 L -4122 558 mt 4156 592 L -4156 558 mt 4122 592 L -4250 408 mt 4284 442 L -4284 408 mt 4250 442 L +122 -107 107 -92 99 -89 97 -95 94 -59 87 -94 72 -71 55 -13 +84 -102 54 -33 64 -46 60 -54 61 -57 61 -51 45 -24 62 -69 +48 -45 52 -24 70 -80 51 6 90 -97 71 -5 103 -107 123 -125 +190 -76 254 -256 560 -138 1183 3069 28 MP stroke +gs 1132 1015 2939 2106 MR c np +1166 3052 mt 1200 3086 L +1200 3052 mt 1166 3086 L +1726 2914 mt 1760 2948 L +1760 2914 mt 1726 2948 L +1980 2658 mt 2014 2692 L +2014 2658 mt 1980 2692 L +2170 2582 mt 2204 2616 L +2204 2582 mt 2170 2616 L +2293 2457 mt 2327 2491 L +2327 2457 mt 2293 2491 L +2396 2350 mt 2430 2384 L +2430 2350 mt 2396 2384 L +2467 2345 mt 2501 2379 L +2501 2345 mt 2467 2379 L +2557 2248 mt 2591 2282 L +2591 2248 mt 2557 2282 L +2608 2254 mt 2642 2288 L +2642 2254 mt 2608 2288 L +2678 2174 mt 2712 2208 L +2712 2174 mt 2678 2208 L +2730 2150 mt 2764 2184 L +2764 2150 mt 2730 2184 L +2778 2105 mt 2812 2139 L +2812 2105 mt 2778 2139 L +2840 2036 mt 2874 2070 L +2874 2036 mt 2840 2070 L +2885 2012 mt 2919 2046 L +2919 2012 mt 2885 2046 L +2946 1961 mt 2980 1995 L +2980 1961 mt 2946 1995 L +3007 1904 mt 3041 1938 L +3041 1904 mt 3007 1938 L +3067 1850 mt 3101 1884 L +3101 1850 mt 3067 1884 L +3131 1804 mt 3165 1838 L +3165 1804 mt 3131 1838 L +3185 1771 mt 3219 1805 L +3219 1771 mt 3185 1805 L +3269 1669 mt 3303 1703 L +3303 1669 mt 3269 1703 L +3324 1656 mt 3358 1690 L +3358 1656 mt 3324 1690 L +3396 1585 mt 3430 1619 L +3430 1585 mt 3396 1619 L +3483 1491 mt 3517 1525 L +3517 1491 mt 3483 1525 L +3577 1432 mt 3611 1466 L +3611 1432 mt 3577 1466 L +3674 1337 mt 3708 1371 L +3708 1337 mt 3674 1371 L +3773 1248 mt 3807 1282 L +3807 1248 mt 3773 1282 L +3880 1156 mt 3914 1190 L +3914 1156 mt 3880 1190 L +4002 1049 mt 4036 1083 L +4036 1049 mt 4002 1083 L gr /c11 { 0.000000 0.000000 0.900000 sr} bdef c11 -128 -139 120 -126 122 -126 107 -109 99 -99 97 -94 94 -91 87 -80 -72 -67 55 -55 84 -83 54 -43 64 -57 60 -40 61 -66 61 -41 -45 -39 62 -46 48 -47 52 -24 70 -78 51 -15 90 -73 71 -20 -103 -95 123 -100 190 -126 254 -260 560 -269 1183 2901 30 MP stroke -gs 1132 342 3187 2611 MR c np -16 W -1183 2901 PD -16 W -1743 2632 PD +122 -107 107 -101 99 -91 97 -82 94 -91 87 -75 72 -72 55 -39 +84 -89 54 -24 64 -59 60 -63 61 -44 61 -49 45 -42 62 -53 +48 -41 52 -51 70 -65 51 -77 90 -58 71 -45 103 -97 123 -91 +190 -220 254 -217 560 -313 1183 2959 28 MP stroke +gs 1132 552 2939 2459 MR c np 16 W -1997 2372 PD +1183 2959 PD 16 W -2187 2246 PD +1743 2646 PD 16 W -2310 2146 PD +1997 2429 PD 16 W -2413 2051 PD +2187 2209 PD 16 W -2484 2031 PD +2310 2118 PD 16 W -2574 1958 PD +2413 2021 PD 16 W -2625 1943 PD +2484 1976 PD 16 W -2695 1865 PD +2574 1918 PD 16 W -2747 1841 PD +2625 1841 PD 16 W -2795 1794 PD +2695 1776 PD 16 W -2857 1748 PD +2747 1725 PD 16 W -2902 1709 PD +2795 1684 PD 16 W -2963 1668 PD +2857 1631 PD 16 W -3024 1602 PD +2902 1589 PD 16 W -3084 1562 PD +2963 1540 PD 16 W -3148 1505 PD +3024 1496 PD 16 W -3202 1462 PD +3084 1433 PD 16 W -3286 1379 PD +3148 1374 PD 16 W -3341 1324 PD +3202 1350 PD 16 W -3413 1257 PD +3286 1261 PD 16 W -3500 1177 PD +3341 1222 PD 16 W -3594 1086 PD +3413 1150 PD 16 W -3691 992 PD +3500 1075 PD 16 W -3790 893 PD +3594 984 PD 16 W -3897 784 PD +3691 902 PD 16 W -4019 658 PD +3790 811 PD 16 W -4139 532 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