From ce2be246fddaf5bded008f3648ecdfdd147d6fee Mon Sep 17 00:00:00 2001 From: Jim Fowler Date: Tue, 17 May 2022 09:47:12 -0400 Subject: [PATCH] psfig is now includegraphics --- .../exactDifferentialEquations.tex | 6 ++-- .../exactDifferentialEquations/00900.tex | 2 +- .../hamiltonianSystems.tex | 8 ++--- .../hamiltonianSystems/00700.tex | 2 +- .../hamiltonianSystems/00800.tex | 2 +- .../higherOrderEquations.tex | 4 +-- .../higherOrderEquations/00500.tex | 8 ++--- .../nonconstantCoefficientLinearEquations.tex | 4 +-- .../00300.tex | 6 ++-- .../equilibriaAndLinearization.tex | 12 ++++---- .../equilibriaAndLinearization/00200.tex | 4 +-- .../equilibriaAndLinearization/00600.tex | 2 +- .../equilibriaAndLinearization/00800.tex | 2 +- .../equilibriaAndLinearization/01200.tex | 4 +-- .../equilibriaAndLinearization/01400.tex | 2 +- .../introduction.tex | 18 +++++------ .../introduction/00200.tex | 2 +- .../introduction/00300.tex | 4 +-- .../introduction/00400.tex | 6 ++-- .../periodicSolutions.tex | 8 ++--- .../periodicSolutions/00100.tex | 6 ++-- .../periodicSolutions/00500.tex | 2 +- .../periodicSolutions/00600.tex | 2 +- .../stylizedPhasePortraits.tex | 8 ++--- .../stylizedPhasePortraits/00200.tex | 2 +- .../stylizedPhasePortraits/00300.tex | 2 +- .../stylizedPhasePortraits/00400.tex | 4 +-- .../stylizedPhasePortraits/00600.tex | 8 ++--- bifurcationTheory/examplesOfBifurcations.tex | 30 +++++++++---------- .../examplesOfBifurcations/00200.tex | 2 +- .../examplesOfBifurcations/00300.tex | 2 +- .../examplesOfBifurcations/00400.tex | 2 +- .../examplesOfBifurcations/00500.tex | 4 +-- .../examplesOfBifurcations/00800.tex | 4 +-- .../examplesOfBifurcations/00900.tex | 4 +-- .../examplesOfBifurcations/01000.tex | 4 +-- .../examplesOfBifurcations/01100.tex | 4 +-- .../examplesOfBifurcations/01200.tex | 6 ++-- .../hopfBifurcationsRevisited.tex | 16 +++++----- .../saddleNodeBifurcationsRevisited.tex | 8 ++--- .../saddleNodeBifurcationsRevisited/00200.tex | 4 +-- .../saddleNodeBifurcationsRevisited/00300.tex | 2 +- .../theContinuousFlowStirredTankReactor.tex | 14 ++++----- .../00200.tex | 4 +-- .../00300.tex | 8 ++--- .../theRemainingGlobalBifurcations.tex | 14 ++++----- .../theRemainingGlobalBifurcations/00200.tex | 6 ++-- .../theRemainingGlobalBifurcations/00300.tex | 6 ++-- .../theRemainingGlobalBifurcations/00400.tex | 6 ++-- .../theRemainingGlobalBifurcations/00500.tex | 6 ++-- .../theRemainingGlobalBifurcations/00600.tex | 16 +++++----- .../twoSpeciesPopulationModels.tex | 6 ++-- .../twoSpeciesPopulationModels/00500.tex | 4 +-- .../twoSpeciesPopulationModels/01000.tex | 4 +-- .../secondOrderEquations.tex | 6 ++-- .../secondOrderEquations/01000.tex | 4 +-- .../similarMatrices/01100.tex | 6 ++-- .../similarMatrices/01300.tex | 4 +-- .../theInitialValueProblem/00800.tex | 6 ++-- determinantsAndEigenvalues/determinants.tex | 2 +- higherDimensionalSystems/MATLABODE.tex | 8 ++--- higherDimensionalSystems/MATLABODE/00200.tex | 4 +-- higherDimensionalSystems/MATLABODE/00300.tex | 4 +-- .../chaosAndTheLorenzEquation.tex | 8 ++--- .../chaosAndTheLorenzEquation/00300.tex | 8 ++--- .../chaosAndTheLorenzEquation/00400.tex | 6 ++-- .../chaosAndTheLorenzEquation/00600.tex | 22 +++++++------- .../higherDimensionalSystemsUsingOde45.tex | 10 +++---- .../00100.tex | 4 +-- .../linearSystemsInJordanNormalForm.tex | 2 +- .../quasiperiodicMotionsAndTori.tex | 14 ++++----- .../quasiperiodicMotionsAndTori/00200.tex | 4 +-- laplaceTransforms/discontinuousForcing.tex | 4 +-- .../discontinuousForcing/00500.tex | 6 ++-- .../laplaceTransformsAndTheirComputation.tex | 4 +-- laplaceTransforms/rLCCircuits.tex | 6 ++-- leastSquares/leastSquaresApproximations.tex | 2 +- leastSquares/leastSquaresFittingOfData.tex | 10 +++---- .../leastSquaresFittingOfData/00200.tex | 2 +- .../leastSquaresFittingOfData/00300.tex | 4 +-- .../leastSquaresFittingOfData/00400.tex | 2 +- .../periodicForcingAndResonance.tex | 10 +++---- .../periodicForcingAndResonance/00300.tex | 2 +- .../matricesOfLinearMapsOnAVectorSpace.tex | 4 +-- .../vectorsAndMatricesInCoordinates.tex | 10 +++---- m_files/numeric-labels.rb | 6 ++++ matricesAndLinearity/linearity/01000.tex | 4 +-- matricesAndLinearity/matrixMappings/01600.tex | 4 +-- .../aDescriptionOfNumericalMethods.tex | 20 ++++++------- .../appendixVariableStepMethods.tex | 4 +-- .../errorBoundsForEulersMethod.tex | 6 ++-- .../localAndGlobalErrorBounds.tex | 4 +-- orthogonality/gram_schmidt.tex | 2 +- preamble.tex | 5 ---- preface.tex | 2 +- .../theGeometryOfVectorOperations.tex | 8 ++--- .../sinksSaddlesAndSources.tex | 14 ++++----- .../sinksSaddlesAndSources/00500.tex | 8 ++--- .../theGeometryOfLowDimensionalSolutions.tex | 12 ++++---- .../00800.tex | 4 +-- .../00900.tex | 4 +-- .../01300.tex | 2 +- .../aSingleDifferentialEquation.tex | 2 +- .../aSingleDifferentialEquation/01100.tex | 8 ++--- .../aSingleDifferentialEquation_12_28_18.tex | 2 +- .../coupledLinearSystems.tex | 4 +-- .../coupledLinearSystems/00200.tex | 6 ++-- .../coupledLinearSystems/00300.tex | 2 +- .../coupledLinearSystems/00400.tex | 4 +-- .../coupledLinearSystems/00600.tex | 2 +- .../initialValueProblemsRevisited/00400.tex | 8 ++--- .../markovChains.tex | 2 +- .../markovChains/00400.tex | 2 +- .../01200.tex | 6 ++-- .../uncoupledLinearSystemsOfTwoEquations.tex | 10 +++---- .../00400.tex | 2 +- .../00600.tex | 6 ++-- .../00900.tex | 4 +-- 118 files changed, 347 insertions(+), 346 deletions(-) diff --git a/additionalTechniquesForSolvingODEs/exactDifferentialEquations.tex b/additionalTechniquesForSolvingODEs/exactDifferentialEquations.tex index 0870fc45..b882c9b4 100644 --- a/additionalTechniquesForSolvingODEs/exactDifferentialEquations.tex +++ b/additionalTechniquesForSolvingODEs/exactDifferentialEquations.tex @@ -101,7 +101,7 @@ \subsubsection*{Drawing Contours Using \Matlab} \begin{figure}[htb] \centerline{% - \psfig{file=../figures/contour1.eps,width=3.5in}} + \includegraphics[width=3.5in]{../figures/contour1.pdf}} \caption{Contour lines of $F(t,x)=x^2-xt+t$ for $(t,x)\in[-1.5,1.5]\times[-1.5,1.5]$.} \label{Fig:contour1} @@ -142,7 +142,7 @@ \subsubsection*{Drawing Contours Using \Matlab} \begin{figure}[htb] \centerline{% - \psfig{file=../figures/contour2.eps,width=3.7in}} + \includegraphics[width=3.7in]{../figures/contour2.pdf}} \caption{The solution of \protect\eqref{eq:exactex1} for the initial value $(t_0,x_0)=(-0.5,-1)$ computed by {\dfield}.} \label{Fig:contour2} @@ -371,7 +371,7 @@ \subsubsection*{Two Examples} \begin{figure}[htb] \centerline{% - \psfig{file=../figures/contour3.eps,width=3.5in}} + \includegraphics[width=3.5in]{../figures/contour3.pdf}} \caption{Solutions of the differential equation \protect\eqref{eq:exacex2} corresponding to the levels $c=0,3,6,9,12$ in the rectangle diff --git a/additionalTechniquesForSolvingODEs/exactDifferentialEquations/00900.tex b/additionalTechniquesForSolvingODEs/exactDifferentialEquations/00900.tex index aa8c45ef..d23f4163 100644 --- a/additionalTechniquesForSolvingODEs/exactDifferentialEquations/00900.tex +++ b/additionalTechniquesForSolvingODEs/exactDifferentialEquations/00900.tex @@ -34,7 +34,7 @@ The result is given in Figure~\ref{c14.6.8}. \begin{figure}[htb] \centerline{% - \psfig{file=exfigure/fig17-6-9.eps,width=3.0in}} + \includegraphics[width=3.0in]{exfigure/fig17-6-9.pdf}} \exercap{c14.6.8} \end{figure} diff --git a/additionalTechniquesForSolvingODEs/hamiltonianSystems.tex b/additionalTechniquesForSolvingODEs/hamiltonianSystems.tex index a5414436..621ddbcc 100644 --- a/additionalTechniquesForSolvingODEs/hamiltonianSystems.tex +++ b/additionalTechniquesForSolvingODEs/hamiltonianSystems.tex @@ -134,7 +134,7 @@ \subsection*{Potential Systems} the existence of two homoclinic trajectories\index{trajectory!homoclinic}. \begin{figure}[htb] \centerline{% - \psfig{file=../figures/ham.eps,width=3.5in}} + \includegraphics[width=3.5in]{../figures/ham.pdf}} \caption{Phase portrait of \protect\eqref{e:hamex1}} \label{F:hamex} \end{figure} @@ -184,14 +184,14 @@ \subsection*{Newton's Second Law and Potential Systems} \end{itemize} \begin{figure}[htb] \centerline{% - \psfig{file=../figures/pendulum.eps,width=2.0in}} + \includegraphics[width=2.0in]{../figures/pendulum.pdf}} \caption{Pendulum geometry} \label{F:pendulum} \end{figure} The phase portrait for the pendulum equations is shown in Figure~\ref{F:ppen}. \begin{figure}[htb] \centerline{% - \psfig{file=../figures/ppen.eps,width=3.5in}} + \includegraphics[width=3.5in]{../figures/ppen.pdf}} \caption{Phase portrait of the pendulum equation \protect\eqref{e:pendulum}} \label{F:ppen} @@ -233,7 +233,7 @@ \subsubsection*{The Two Body Problem} \begin{figure}[htb] \centerline{% - \psfig{file=../figures/tbp.eps,height=2.5in}} + \includegraphics[height=2.5in]{../figures/tbp.pdf}} \caption{Phase portrait of the equation \protect\eqref{e:tbp}} \label{fig:tbp} diff --git a/additionalTechniquesForSolvingODEs/hamiltonianSystems/00700.tex b/additionalTechniquesForSolvingODEs/hamiltonianSystems/00700.tex index 2ac1ce4d..99d67503 100644 --- a/additionalTechniquesForSolvingODEs/hamiltonianSystems/00700.tex +++ b/additionalTechniquesForSolvingODEs/hamiltonianSystems/00700.tex @@ -27,7 +27,7 @@ \begin{figure}[htb] \centerline{% - \psfig{file=exfigure/fig14-7-10.eps,width=3.0in}} + \includegraphics[width=3.0in]{exfigure/fig14-7-10.pdf}} \exercap{c14.7.10} \end{figure} diff --git a/additionalTechniquesForSolvingODEs/hamiltonianSystems/00800.tex b/additionalTechniquesForSolvingODEs/hamiltonianSystems/00800.tex index a61cd0fc..5d27c7fa 100644 --- a/additionalTechniquesForSolvingODEs/hamiltonianSystems/00800.tex +++ b/additionalTechniquesForSolvingODEs/hamiltonianSystems/00800.tex @@ -36,7 +36,7 @@ \begin{figure}[htb] \centerline{% - \psfig{file=exfigure/fig14-7-11.eps,width=3.0in}} + \includegraphics[width=3.0in]{exfigure/fig14-7-11.pdf}} \exercap{c14.7.11} \end{figure} diff --git a/additionalTechniquesForSolvingODEs/higherOrderEquations.tex b/additionalTechniquesForSolvingODEs/higherOrderEquations.tex index 1d982fb0..1f4149a4 100644 --- a/additionalTechniquesForSolvingODEs/higherOrderEquations.tex +++ b/additionalTechniquesForSolvingODEs/higherOrderEquations.tex @@ -206,8 +206,8 @@ \subsubsection*{An Example of an Electrical Circuit} The result of this computation is shown in Figure~\ref{Fig:micro1}. \begin{figure*}[htb] \centerline{% - \psfig{file=../figures/microx1.eps,width=3.0in} - \psfig{file=../figures/microx2.eps,width=3.0in}} + \includegraphics[width=3.0in]{../figures/microx1.pdf} + \includegraphics[width=3.0in]{../figures/microx2.pdf}} \caption{The two components of the solution of \protect\eqref{E:RCLM} for $t\in[0,30]$ with initial condition $X(0)=(1,1)^t$.} diff --git a/additionalTechniquesForSolvingODEs/higherOrderEquations/00500.tex b/additionalTechniquesForSolvingODEs/higherOrderEquations/00500.tex index ead9c900..de9bf726 100644 --- a/additionalTechniquesForSolvingODEs/higherOrderEquations/00500.tex +++ b/additionalTechniquesForSolvingODEs/higherOrderEquations/00500.tex @@ -39,7 +39,7 @@ result is displayed in Figure~\ref{c14.3.7a}. \begin{figure}[htb] \centerline{% - \psfig{file=exfigure/fig17-4-6.eps,width=3.0in}} + \includegraphics[width=3.0in]{exfigure/fig17-4-6.pdf}} \exercap{c14.3.7a} \end{figure} @@ -76,7 +76,7 @@ result is displayed in Figure~\ref{c14.3.7b}. \begin{figure}[htb] \centerline{% - \psfig{file=exfigure/fig17-4-7.eps,width=3.0in}} + \includegraphics[width=3.0in]{exfigure/fig17-4-7.pdf}} \exercap{c14.3.7b} \end{figure} @@ -114,7 +114,7 @@ result is displayed in Figure~\ref{c14.3.7c}. \begin{figure}[htb] \centerline{% - \psfig{file=exfigure/fig17-4-8.eps,width=3.0in}} + \includegraphics[width=3.0in]{exfigure/fig17-4-8.pdf}} \exercap{c14.3.7c} \end{figure} @@ -153,7 +153,7 @@ result is displayed in Figure~\ref{c14.3.7d}. \begin{figure}[htb] \centerline{% - \psfig{file=exfigure/fig17-4-9.eps,width=3.0in}} + \includegraphics[width=3.0in]{exfigure/fig17-4-9.pdf}} \exercap{c14.3.7d} \end{figure} diff --git a/additionalTechniquesForSolvingODEs/nonconstantCoefficientLinearEquations.tex b/additionalTechniquesForSolvingODEs/nonconstantCoefficientLinearEquations.tex index ffc2904d..71af0b2f 100644 --- a/additionalTechniquesForSolvingODEs/nonconstantCoefficientLinearEquations.tex +++ b/additionalTechniquesForSolvingODEs/nonconstantCoefficientLinearEquations.tex @@ -201,8 +201,8 @@ \subsubsection*{Two Examples of Variation of Parameters} \begin{figure*}[htb] \centerline{% - \psfig{file=../figures/solnm.eps,width=2.8in} - \psfig{file=../figures/solnd.eps,width=3.0in}} + \includegraphics[width=2.8in]{../figures/solnm.pdf} + \includegraphics[width=3.0in]{../figures/solnd.pdf}} \caption{(Left) Graph of solution~\protect\eqref{e:solnth} to equation \protect\eqref{e:solntheq}. (Right) The time series for solution to \protect\eqref{e:solntheq} with initial condition $x(1)=0$ using diff --git a/additionalTechniquesForSolvingODEs/nonconstantCoefficientLinearEquations/00300.tex b/additionalTechniquesForSolvingODEs/nonconstantCoefficientLinearEquations/00300.tex index dfec2281..cd4e1ace 100644 --- a/additionalTechniquesForSolvingODEs/nonconstantCoefficientLinearEquations/00300.tex +++ b/additionalTechniquesForSolvingODEs/nonconstantCoefficientLinearEquations/00300.tex @@ -20,7 +20,7 @@ \begin{figure}[htb] \centerline{% - \psfig{file=exfigure/fig17-1-11.eps,width=3.0in}} + \includegraphics[width=3.0in]{exfigure/fig17-1-11.pdf}} \exercap{c14.2.11a} \end{figure} Using variation of parameters we find that the general solution to the @@ -51,7 +51,7 @@ \begin{figure}[htb] \centerline{% - \psfig{file=exfigure/fig17-1-12.eps,width=3.0in}} + \includegraphics[width=3.0in]{exfigure/fig17-1-12.pdf}} \exercap{c14.2.11b} \end{figure} @@ -76,7 +76,7 @@ \begin{figure}[htb] \centerline{% - \psfig{file=exfigure/fig17-1-13.eps,width=3.0in}} + \includegraphics[width=3.0in]{exfigure/fig17-1-13.pdf}} \exercap{c14.2.11c} \end{figure} diff --git a/autonomousPlanarNonlinearSystems/equilibriaAndLinearization.tex b/autonomousPlanarNonlinearSystems/equilibriaAndLinearization.tex index 6de68b4e..19729400 100644 --- a/autonomousPlanarNonlinearSystems/equilibriaAndLinearization.tex +++ b/autonomousPlanarNonlinearSystems/equilibriaAndLinearization.tex @@ -111,8 +111,8 @@ \begin{figure*}[htb] \centerline{% - \psfig{file=../figures/spirala.eps,width=3.5in} - \psfig{file=../figures/spiralb.eps,width=3.0in}} + \includegraphics[width=3.5in]{../figures/spirala.pdf} + \includegraphics[width=3.0in]{../figures/spiralb.pdf}} \caption{(Left) Trajectory of \protect\eqref{e:linearizedeqn} near the spiral sink $Z_2$. (Right) The time series $x$ versus $t$ for this solution.} @@ -274,7 +274,7 @@ \subsubsection*{An Example with Analytically Solvable Equilibria} \begin{figure}[htb] \centerline{% - \psfig{file=../figures/ex12exam.eps,width=3.5in}} + \includegraphics[width=3.5in]{../figures/ex12exam.pdf}} \caption{Equilibria and connections of \protect\eqref{e1:exer}.} \label{F:ex12} \end{figure} @@ -315,8 +315,8 @@ \subsubsection*{An Example Where Equilibria are Not Analytically Solvable} \begin{figure*}[htb] \centerline{% - \psfig{file=../figures/saddlea.eps,width=3.2in} - \psfig{file=../figures/saddleb.eps,width=3.2in}} + \includegraphics[width=3.2in]{../figures/saddlea.pdf} + \includegraphics[width=3.2in]{../figures/saddleb.pdf}} \caption{(Left) Direction field of \protect\eqref{e:gradexam}. (Right) Phase plane with equilibria and stable orbits.} \label{F:gradexam} @@ -324,7 +324,7 @@ \subsubsection*{An Example Where Equilibria are Not Analytically Solvable} \begin{figure}[htb] \centerline{% - \psfig{file=../figures/grad.eps,width=3.in}} + \includegraphics[width=3.in]{../figures/grad.pdf}} \caption{Stylized phase plane portrait of \protect\eqref{e:gradexam}.} \label{F:gradexamstyle} \end{figure} diff --git a/autonomousPlanarNonlinearSystems/equilibriaAndLinearization/00200.tex b/autonomousPlanarNonlinearSystems/equilibriaAndLinearization/00200.tex index 59c974c9..a31756c9 100644 --- a/autonomousPlanarNonlinearSystems/equilibriaAndLinearization/00200.tex +++ b/autonomousPlanarNonlinearSystems/equilibriaAndLinearization/00200.tex @@ -36,8 +36,8 @@ \begin{figure}[htb] \centerline{% - \psfig{file=exfigure/8-2-1a.eps,width=2.75in} - \psfig{file=exfigure/8-2-1b.eps,width=2.75in}} + \includegraphics[width=2.75in]{exfigure/8-2-1a.pdf} + \includegraphics[width=2.75in]{exfigure/8-2-1b.pdf}} \exercaptwo{c8.2.1} \end{figure} diff --git a/autonomousPlanarNonlinearSystems/equilibriaAndLinearization/00600.tex b/autonomousPlanarNonlinearSystems/equilibriaAndLinearization/00600.tex index 255a9607..63f39887 100644 --- a/autonomousPlanarNonlinearSystems/equilibriaAndLinearization/00600.tex +++ b/autonomousPlanarNonlinearSystems/equilibriaAndLinearization/00600.tex @@ -49,7 +49,7 @@ \begin{figure}[htb] \centerline{% - \psfig{file=exfigure/8-2-5.eps,width=3.0in}} + \includegraphics[width=3.0in]{exfigure/8-2-5.pdf}} \exercap{c8.2.5} \end{figure} diff --git a/autonomousPlanarNonlinearSystems/equilibriaAndLinearization/00800.tex b/autonomousPlanarNonlinearSystems/equilibriaAndLinearization/00800.tex index 4db5c502..23e79f7a 100644 --- a/autonomousPlanarNonlinearSystems/equilibriaAndLinearization/00800.tex +++ b/autonomousPlanarNonlinearSystems/equilibriaAndLinearization/00800.tex @@ -64,7 +64,7 @@ \begin{figure}[htb] \centerline{% - \psfig{file=exfigure/8-2-7.eps,width=3.0in}} + \includegraphics[width=3.0in]{exfigure/8-2-7.pdf}} \exercap{c8.2.7} \end{figure} diff --git a/autonomousPlanarNonlinearSystems/equilibriaAndLinearization/01200.tex b/autonomousPlanarNonlinearSystems/equilibriaAndLinearization/01200.tex index 7b7f7a01..fab9bd39 100644 --- a/autonomousPlanarNonlinearSystems/equilibriaAndLinearization/01200.tex +++ b/autonomousPlanarNonlinearSystems/equilibriaAndLinearization/01200.tex @@ -19,8 +19,8 @@ \begin{figure}[htb] \centerline{% - \psfig{file=exfigure/8-2-10a.eps,width=2.75in} - \psfig{file=exfigure/8-2-10b.eps,width=2.75in}} + \includegraphics[width=2.75in]{exfigure/8-2-10a.pdf} + \includegraphics[width=2.75in]{exfigure/8-2-10b.pdf}} \exercaptwo{c8.2.10} \end{figure} diff --git a/autonomousPlanarNonlinearSystems/equilibriaAndLinearization/01400.tex b/autonomousPlanarNonlinearSystems/equilibriaAndLinearization/01400.tex index eeb1a486..18a37493 100644 --- a/autonomousPlanarNonlinearSystems/equilibriaAndLinearization/01400.tex +++ b/autonomousPlanarNonlinearSystems/equilibriaAndLinearization/01400.tex @@ -22,7 +22,7 @@ \begin{figure}[htb] \centerline{% - \psfig{file=exfigure/8-2-12.eps,width=3.0in}} + \includegraphics[width=3.0in]{exfigure/8-2-12.pdf}} \exercap{c8.2.12} \end{figure} diff --git a/autonomousPlanarNonlinearSystems/introduction.tex b/autonomousPlanarNonlinearSystems/introduction.tex index 51c5629b..94f958d2 100644 --- a/autonomousPlanarNonlinearSystems/introduction.tex +++ b/autonomousPlanarNonlinearSystems/introduction.tex @@ -45,7 +45,7 @@ \begin{figure}[htb] \centerline{% - \psfig{file=../figures/pp1d.eps,height=0.6in}} + \includegraphics[height=0.6in]{../figures/pp1d.pdf}} \caption{Phase line plot for the one dimensional equation \protect\eqref{e:1dexample}.} \label{F:pp1d} @@ -68,7 +68,7 @@ \begin{figure}[htb] \centerline{% - \psfig{file=../figures/pp1dt.eps,height=2.0in}} + \includegraphics[height=2.0in]{../figures/pp1dt.pdf}} \caption{Time series for solution to \protect\eqref{e:1dexample} with initial condition between $0$ and $1$.} \label{F:pp1dt} @@ -171,8 +171,8 @@ \subsubsection*{A Linear Equation} \begin{figure*}[htb] \centerline{% - \psfig{file=../figures/locala.eps,height=1.8in} - \psfig{file=../figures/localb.eps,height=2.0in}} + \includegraphics[height=1.8in]{../figures/locala.pdf} + \includegraphics[height=2.0in]{../figures/localb.pdf}} \caption{(Left) Sketch of phase plane of \protect\eqref{e:localexam} based on eigenvalues and eigenvectors of $C$. (Right) Trajectories of \protect\eqref{e:localexam} using {\pplane}.} @@ -202,7 +202,7 @@ \subsubsection*{The Addition of Nonlinear Terms} Figure~\ref{F:local} (right). \begin{figure}[hbt] \centerline{% - \psfig{file=../figures/globala.eps,height=2.0in}} + \includegraphics[height=2.0in]{../figures/globala.pdf}} \caption{Trajectories of \protect\eqref{e:globalexam} on the square $-0.5\leq x,y \leq 0.5$ using {\pplane}.} \label{F:globala} @@ -226,8 +226,8 @@ \subsubsection*{The Addition of Nonlinear Terms} system. See Figure~\ref{F:globalb} (left). \begin{figure*}[htb] \centerline{% - \psfig{file=../figures/globalb.eps,height=2.0in} - \psfig{file=../figures/globalc.eps,height=2.0in}} + \includegraphics[height=2.0in]{../figures/globalb.pdf} + \includegraphics[height=2.0in]{../figures/globalc.pdf}} \caption{(Left) Trajectories of \protect\eqref{e:globalexam} on the square $-5\leq x,y \leq 5$ using {\pplane}. (Right) A phase plane portrait of this equation.} @@ -260,8 +260,8 @@ \subsubsection*{The Importance of Phase Plane Portraits} \begin{figure*}[htb] \centerline{% - \psfig{file=../figures/nltraj.eps,height=2.5in} - \psfig{file=../figures/nlts.eps,height=2.0in}} + \includegraphics[height=2.5in]{../figures/nltraj.pdf} + \includegraphics[height=2.0in]{../figures/nlts.pdf}} \caption{(Left) Trajectory of \protect\eqref{e:globalexam} through $(-0.1,0.1)$. (Right) Time series $y$ versus $t$ of this solution.} diff --git a/autonomousPlanarNonlinearSystems/introduction/00200.tex b/autonomousPlanarNonlinearSystems/introduction/00200.tex index 1572aab2..0378ba80 100644 --- a/autonomousPlanarNonlinearSystems/introduction/00200.tex +++ b/autonomousPlanarNonlinearSystems/introduction/00200.tex @@ -20,7 +20,7 @@ \begin{figure}[htb] \centerline{% - \psfig{file=exfigure/8-1-1.eps,width=3.5in}} + \includegraphics[width=3.5in]{exfigure/8-1-1.pdf}} \exercap{c8.1.1} \end{figure} diff --git a/autonomousPlanarNonlinearSystems/introduction/00300.tex b/autonomousPlanarNonlinearSystems/introduction/00300.tex index 50ddd579..ce641ff9 100644 --- a/autonomousPlanarNonlinearSystems/introduction/00300.tex +++ b/autonomousPlanarNonlinearSystems/introduction/00300.tex @@ -38,8 +38,8 @@ \begin{figure}[htb] \centerline{% - \psfig{file=exfigure/8-1-2a.eps,width=2.75in} - \psfig{file=exfigure/8-1-2b.eps,width=2.75in}} + \includegraphics[width=2.75in]{exfigure/8-1-2a.pdf} + \includegraphics[width=2.75in]{exfigure/8-1-2b.pdf}} \exercaptwo{c8.1.2} \end{figure} diff --git a/autonomousPlanarNonlinearSystems/introduction/00400.tex b/autonomousPlanarNonlinearSystems/introduction/00400.tex index fb30eb4c..d2c6d898 100644 --- a/autonomousPlanarNonlinearSystems/introduction/00400.tex +++ b/autonomousPlanarNonlinearSystems/introduction/00400.tex @@ -47,9 +47,9 @@ \begin{figure}[htb] \centerline{% - \psfig{file=exfigure/8-1-3a.eps,width=1.8in} - \psfig{file=exfigure/8-1-3b.eps,width=1.8in} - \psfig{file=exfigure/8-1-3c.eps,width=1.8in}} + \includegraphics[width=1.8in]{exfigure/8-1-3a.pdf} + \includegraphics[width=1.8in]{exfigure/8-1-3b.pdf} + \includegraphics[width=1.8in]{exfigure/8-1-3c.pdf}} \centerline{Figure~\ref{c8.1.3a}\hspace{1.2in} Figure~\ref{c8.1.3b}\hspace{1.2in}Figure~\ref{c8.1.3c}} \end{figure} diff --git a/autonomousPlanarNonlinearSystems/periodicSolutions.tex b/autonomousPlanarNonlinearSystems/periodicSolutions.tex index 59719868..392caf81 100644 --- a/autonomousPlanarNonlinearSystems/periodicSolutions.tex +++ b/autonomousPlanarNonlinearSystems/periodicSolutions.tex @@ -77,8 +77,8 @@ \subsubsection*{Nonhyperbolic Centers} \begin{figure*}[htb] \centerline{% - \psfig{file=../figures/periodic.eps,width=3.5in} - \psfig{file=../figures/period2.eps,width=3.5in}} + \includegraphics[width=3.5in]{../figures/periodic.pdf} + \includegraphics[width=3.5in]{../figures/period2.pdf}} \caption{(Left) Trajectories of \protect\eqref{e:planeper} when $\tau=3$. (Right) A time series of one solution.} \label{F:planarperiodic} @@ -110,8 +110,8 @@ \subsubsection*{Nonhyperbolic Centers} \begin{figure*}[htb] \centerline{% - \psfig{file=../figures/period3.eps,width=3.5in} - \psfig{file=../figures/period4.eps,width=3.5in}} + \includegraphics[width=3.5in]{../figures/period3.pdf} + \includegraphics[width=3.5in]{../figures/period4.pdf}} \caption{(Left) A trajectory of \protect\eqref{e:nonlincenter} that spirals towards the origin. Note the slow convergence due to the fact that the origin is not hyperbolic. (Right) A trajectory of diff --git a/autonomousPlanarNonlinearSystems/periodicSolutions/00100.tex b/autonomousPlanarNonlinearSystems/periodicSolutions/00100.tex index b045cac3..ce860ba2 100644 --- a/autonomousPlanarNonlinearSystems/periodicSolutions/00100.tex +++ b/autonomousPlanarNonlinearSystems/periodicSolutions/00100.tex @@ -41,7 +41,7 @@ \begin{figure}[htb] \centerline{% - \psfig{file=exfigure/8-3-1.eps,width=3.0in}} + \includegraphics[width=3.0in]{exfigure/8-3-1.pdf}} \exercap{c8.3.1a} \end{figure} @@ -77,7 +77,7 @@ \begin{figure}[htb] \centerline{% - \psfig{file=exfigure/8-3-1b.eps,width=3.0in}} + \includegraphics[width=3.0in]{exfigure/8-3-1b.pdf}} \exercap{c8.3.1b} \end{figure} @@ -115,7 +115,7 @@ \begin{figure}[htb] \centerline{% - \psfig{file=exfigure/8-3-1c.eps,width=3.0in}} + \includegraphics[width=3.0in]{exfigure/8-3-1c.pdf}} \exercap{c8.3.1c} \end{figure} diff --git a/autonomousPlanarNonlinearSystems/periodicSolutions/00500.tex b/autonomousPlanarNonlinearSystems/periodicSolutions/00500.tex index bd7820bd..f86df7f8 100644 --- a/autonomousPlanarNonlinearSystems/periodicSolutions/00500.tex +++ b/autonomousPlanarNonlinearSystems/periodicSolutions/00500.tex @@ -24,7 +24,7 @@ \begin{figure}[htb] \centerline{% - \psfig{file=exfigure/8-3-2.eps,width=3.0in}} + \includegraphics[width=3.0in]{exfigure/8-3-2.pdf}} \exercap{c8.3.2} \end{figure} diff --git a/autonomousPlanarNonlinearSystems/periodicSolutions/00600.tex b/autonomousPlanarNonlinearSystems/periodicSolutions/00600.tex index 30cedb1d..20164cf2 100644 --- a/autonomousPlanarNonlinearSystems/periodicSolutions/00600.tex +++ b/autonomousPlanarNonlinearSystems/periodicSolutions/00600.tex @@ -32,7 +32,7 @@ \begin{figure}[htb] \centerline{% - \psfig{file=exfigure/8-3-3.eps,width=3.0in}} + \includegraphics[width=3.0in]{exfigure/8-3-3.pdf}} \exercap{c8.3.3} \end{figure} diff --git a/autonomousPlanarNonlinearSystems/stylizedPhasePortraits.tex b/autonomousPlanarNonlinearSystems/stylizedPhasePortraits.tex index f26b5e9a..3e2320f0 100644 --- a/autonomousPlanarNonlinearSystems/stylizedPhasePortraits.tex +++ b/autonomousPlanarNonlinearSystems/stylizedPhasePortraits.tex @@ -80,8 +80,8 @@ \subsection*{The {\pplane} Default Equation} \begin{figure*}[htb] \centerline{% - \psfig{file=../figures/default0.eps,width=3.2in} - \psfig{file=../figures/default1.eps,width=3.2in}} + \includegraphics[width=3.2in]{../figures/default0.pdf} + \includegraphics[width=3.2in]{../figures/default1.pdf}} \caption{(Left) Stable and unstable orbits of the saddle at the origin in \protect\eqref{e:default}. (Right) Picture of \protect\eqref{e:default} with equilibria added.} @@ -114,8 +114,8 @@ \subsection*{The {\pplane} Default Equation} \begin{figure*}[htb] \centerline{% - \psfig{file=../figures/default2.eps,width=3.0in} - \psfig{file=../figures/default4.eps,height=2.2in} + \includegraphics[width=3.0in]{../figures/default2.pdf} + \includegraphics[height=2.2in]{../figures/default4.pdf} } \caption{(Left) Additional trajectories of \protect\eqref{e:default}. (Right) Stylized phase portrait diff --git a/autonomousPlanarNonlinearSystems/stylizedPhasePortraits/00200.tex b/autonomousPlanarNonlinearSystems/stylizedPhasePortraits/00200.tex index d509908e..497c83f9 100644 --- a/autonomousPlanarNonlinearSystems/stylizedPhasePortraits/00200.tex +++ b/autonomousPlanarNonlinearSystems/stylizedPhasePortraits/00200.tex @@ -25,7 +25,7 @@ \begin{figure}[htb] \centerline{% - \psfig{file=exfigure/8-4-1.eps,width=3.0in}} + \includegraphics[width=3.0in]{exfigure/8-4-1.pdf}} \exercap{c8.4.1} \end{figure} diff --git a/autonomousPlanarNonlinearSystems/stylizedPhasePortraits/00300.tex b/autonomousPlanarNonlinearSystems/stylizedPhasePortraits/00300.tex index 60c3b0ec..ad47ef9c 100644 --- a/autonomousPlanarNonlinearSystems/stylizedPhasePortraits/00300.tex +++ b/autonomousPlanarNonlinearSystems/stylizedPhasePortraits/00300.tex @@ -32,7 +32,7 @@ \begin{figure}[htb] \centerline{% - \psfig{file=exfigure/8-4-2.eps,width=3.0in}} + \includegraphics[width=3.0in]{exfigure/8-4-2.pdf}} \exercap{c8.4.2} \end{figure} diff --git a/autonomousPlanarNonlinearSystems/stylizedPhasePortraits/00400.tex b/autonomousPlanarNonlinearSystems/stylizedPhasePortraits/00400.tex index 3e115293..5b4c9c4d 100644 --- a/autonomousPlanarNonlinearSystems/stylizedPhasePortraits/00400.tex +++ b/autonomousPlanarNonlinearSystems/stylizedPhasePortraits/00400.tex @@ -46,8 +46,8 @@ \begin{figure}[htb] \centerline{% - \psfig{file=exfigure/8-4-3a.eps,width=2.75in} - \psfig{file=exfigure/8-4-3b.eps,width=2.75in}} + \includegraphics[width=2.75in]{exfigure/8-4-3a.pdf} + \includegraphics[width=2.75in]{exfigure/8-4-3b.pdf}} \exercaptwo{c8.4.3} \end{figure} diff --git a/autonomousPlanarNonlinearSystems/stylizedPhasePortraits/00600.tex b/autonomousPlanarNonlinearSystems/stylizedPhasePortraits/00600.tex index ca816251..85e1013d 100644 --- a/autonomousPlanarNonlinearSystems/stylizedPhasePortraits/00600.tex +++ b/autonomousPlanarNonlinearSystems/stylizedPhasePortraits/00600.tex @@ -67,8 +67,8 @@ \begin{figure}[htb] \centerline{% - \psfig{file=exfigure/8-4-5a.eps,width=2.75in} - \psfig{file=exfigure/8-4-5a2.eps,width=2.75in}} + \includegraphics[width=2.75in]{exfigure/8-4-5a.pdf} + \includegraphics[width=2.75in]{exfigure/8-4-5a2.pdf}} \exercaptwo{c8.4.5a} \end{figure} @@ -129,8 +129,8 @@ \begin{figure}[htb] \centerline{% - \psfig{file=exfigure/8-4-5b.eps,width=2.75in} - \psfig{file=exfigure/8-4-5b2.eps,width=2.75in}} + \includegraphics[width=2.75in]{exfigure/8-4-5b.pdf} + \includegraphics[width=2.75in]{exfigure/8-4-5b2.pdf}} \exercaptwo{c8.4.5b} \end{figure} diff --git a/bifurcationTheory/examplesOfBifurcations.tex b/bifurcationTheory/examplesOfBifurcations.tex index b5ef24f8..463e7f23 100644 --- a/bifurcationTheory/examplesOfBifurcations.tex +++ b/bifurcationTheory/examplesOfBifurcations.tex @@ -41,7 +41,7 @@ \subsection*{Saddle-Node Bifurcations on the Line} \begin{figure*}[htb] \centerline{% - \psfig{file=../figures/sbif.eps,width=6.0in}} + \includegraphics[width=6.0in]{../figures/sbif.pdf}} \caption{Phase lines for the differential equation \protect\eqref{E:sbif}.} \label{F:sbif} @@ -78,7 +78,7 @@ \subsection*{Saddle-Node Bifurcations on the Line} \begin{figure}[htb] \centerline{% - \psfig{file=../figures/sbifBIF.eps,width=4.0in}} + \includegraphics[width=4.0in]{../figures/sbifBIF.pdf}} \caption{Bifurcation diagram for the differential equation \protect\eqref{E:sbif}. } \label{F:sbifBIF} @@ -104,7 +104,7 @@ \subsection*{Saddle-Node Bifurcations on the Line} \begin{figure}[htb] \centerline{% - \psfig{file=../figures/cbifBIF.eps,width=4.0in}} + \includegraphics[width=4.0in]{../figures/cbifBIF.pdf}} \caption{Bifurcation diagram for the differential equation \protect\eqref{E:cbif}.} \label{F:cbifBIF} @@ -127,7 +127,7 @@ \subsection*{Saddle-Node Bifurcations on the Line} \begin{figure*}[htb] \centerline{% - \psfig{file=../figures/cbif.eps,width=6.0in}} + \includegraphics[width=6.0in]{../figures/cbif.pdf}} \caption{Phase lines for the differential equation \protect\eqref{E:cbif}.} \label{F:cbif} @@ -234,8 +234,8 @@ \subsection*{Saddle-Node Bifurcations in the Plane} \begin{figure*}[htb] \centerline{% - \psfig{file=../figures/ssys1.eps,height=2.0in} - \psfig{file=../figures/ssys3.eps,height=2.0in}} + \includegraphics[height=2.0in]{../figures/ssys1.pdf} + \includegraphics[height=2.0in]{../figures/ssys3.pdf}} \vspace*{-0.2in} \hspace{1.3in} $\rho=-1$ \hspace{2.1in} $\rho=1$ \caption{Phase planes for the differential equation \protect\eqref{E:ssys}.} @@ -328,8 +328,8 @@ \subsection*{Hopf Bifurcation in a Planar System} \begin{figure*}[htb] \centerline{% - \psfig{file=../figures/Hopfbif1.eps,height=2.5in} - \psfig{file=../figures/Hopfbif2.eps,height=2.5in}} + \includegraphics[height=2.5in]{../figures/Hopfbif1.pdf} + \includegraphics[height=2.5in]{../figures/Hopfbif2.pdf}} \vspace*{-0.2in} \qquad\qquad\qquad $\rho=-1$ \hspace{2.8in} $\rho=1$ \caption{Phase planes for the differential equation @@ -370,7 +370,7 @@ \subsubsection*{Bifurcation Diagrams for Hopf Bifurcation} \begin{figure}[htb] \centerline{% - \psfig{file=../figures/Hopfbifa.eps,height=1.6in}} + \includegraphics[height=1.6in]{../figures/Hopfbifa.pdf}} \caption{Schematic bifurcation diagram for the differential equation \protect\eqref{E:Hopfbif} with a branch of stable limit cycles emanating from a point of Hopf bifurcation indicated by a dotted line.} @@ -380,7 +380,7 @@ \subsubsection*{Bifurcation Diagrams for Hopf Bifurcation} \begin{figure}[htb] \centerline{% - \psfig{file=../figures/Hopfbifb.eps,height=1.6in}} + \includegraphics[height=1.6in]{../figures/Hopfbifb.pdf}} \caption{Schematic bifurcation diagram with a branch of unstable limit cycles emanating from a point of Hopf bifurcation indicated by a dot-dashed line.} @@ -498,9 +498,9 @@ \subsection*{Homoclinic Bifurcations} \begin{figure*}[htb] \centerline{% - \psfig{file=../figures/homobif1.eps,height=2.0in} - \psfig{file=../figures/homobif2.eps,height=2.0in} - \psfig{file=../figures/homobif3.eps,height=2.0in}} + \includegraphics[height=2.0in]{../figures/homobif1.pdf} + \includegraphics[height=2.0in]{../figures/homobif2.pdf} + \includegraphics[height=2.0in]{../figures/homobif3.pdf}} \vspace*{-0.2in} $\rho=-0.07$ \hspace{1.8in} $\rho=0.07$ \hspace{1.8in} $\rho=0.14$ @@ -535,7 +535,7 @@ \subsection*{Homoclinic Bifurcations} \begin{figure*}[htb] \centerline{% - \psfig{file=../figures/homobifdiag.eps,height=2.5in}} + \includegraphics[height=2.5in]{../figures/homobifdiag.pdf}} \caption{Schematic bifurcation diagram for the differential equation \protect\eqref{E:homobif} indicating a branch of stable limit cycles ending in a homoclinic bifurcation.} @@ -563,7 +563,7 @@ \subsection*{Reading Bifurcation Diagrams} \begin{figure}[htb] \centerline{% - \psfig{file=../figures/hypo.eps,height=3.0in}} + \includegraphics[height=3.0in]{../figures/hypo.pdf}} \caption{A hypothetical schematic bifurcation diagram for a planar system of differential equations with six bifurcation points.} \label{F:hypo} diff --git a/bifurcationTheory/examplesOfBifurcations/00200.tex b/bifurcationTheory/examplesOfBifurcations/00200.tex index 154d0e6f..292c3deb 100644 --- a/bifurcationTheory/examplesOfBifurcations/00200.tex +++ b/bifurcationTheory/examplesOfBifurcations/00200.tex @@ -26,7 +26,7 @@ \begin{figure}[htb] \centerline{% - \psfig{file=exfigure/9-7-1.eps,width=3.0in}} + \includegraphics[width=3.0in]{exfigure/9-7-1.pdf}} \exercap{c9.7.1} \end{figure} diff --git a/bifurcationTheory/examplesOfBifurcations/00300.tex b/bifurcationTheory/examplesOfBifurcations/00300.tex index 675b561b..cd350ba3 100644 --- a/bifurcationTheory/examplesOfBifurcations/00300.tex +++ b/bifurcationTheory/examplesOfBifurcations/00300.tex @@ -27,7 +27,7 @@ \begin{figure}[htb] \centerline{% - \psfig{file=exfigure/9-7-2.eps,width=3.0in}} + \includegraphics[width=3.0in]{exfigure/9-7-2.pdf}} \exercap{c9.7.2} \end{figure} diff --git a/bifurcationTheory/examplesOfBifurcations/00400.tex b/bifurcationTheory/examplesOfBifurcations/00400.tex index 23b0db9f..48d31e24 100644 --- a/bifurcationTheory/examplesOfBifurcations/00400.tex +++ b/bifurcationTheory/examplesOfBifurcations/00400.tex @@ -27,7 +27,7 @@ \begin{figure}[htb] \centerline{% - \psfig{file=exfigure/9-7-3.eps,width=3.0in}} + \includegraphics[width=3.0in]{exfigure/9-7-3.pdf}} \exercap{c9.7.3} \end{figure} diff --git a/bifurcationTheory/examplesOfBifurcations/00500.tex b/bifurcationTheory/examplesOfBifurcations/00500.tex index da1d053f..496b4b6e 100644 --- a/bifurcationTheory/examplesOfBifurcations/00500.tex +++ b/bifurcationTheory/examplesOfBifurcations/00500.tex @@ -35,8 +35,8 @@ \begin{figure}[htb] \centerline{% - \psfig{file=exfigure/9-4-1a.eps,width=2.75in} - \psfig{file=exfigure/9-4-1b.eps,width=2.75in}} + \includegraphics[width=2.75in]{exfigure/9-4-1a.pdf} + \includegraphics[width=2.75in]{exfigure/9-4-1b.pdf}} \exercaptwo{c9.4.1} \end{figure} diff --git a/bifurcationTheory/examplesOfBifurcations/00800.tex b/bifurcationTheory/examplesOfBifurcations/00800.tex index a4032af8..161e9805 100644 --- a/bifurcationTheory/examplesOfBifurcations/00800.tex +++ b/bifurcationTheory/examplesOfBifurcations/00800.tex @@ -41,8 +41,8 @@ \begin{figure}[htb] \centerline{% - \psfig{file=exfigure/sourcea.eps,width=2.75in} - \psfig{file=exfigure/sourceb.eps,width=2.75in}} + \includegraphics[width=2.75in]{exfigure/sourcea.pdf} + \includegraphics[width=2.75in]{exfigure/sourceb.pdf}} \exercaptwo{e:source} \end{figure} diff --git a/bifurcationTheory/examplesOfBifurcations/00900.tex b/bifurcationTheory/examplesOfBifurcations/00900.tex index 795d8e92..bc7e7974 100644 --- a/bifurcationTheory/examplesOfBifurcations/00900.tex +++ b/bifurcationTheory/examplesOfBifurcations/00900.tex @@ -25,8 +25,8 @@ \begin{figure}[htb] \centerline{% - \psfig{file=exfigure/uHopfa.eps,width=2.75in} - \psfig{file=exfigure/uHopfb.eps,width=2.75in}} + \includegraphics[width=2.75in]{exfigure/uHopfa.pdf} + \includegraphics[width=2.75in]{exfigure/uHopfb.pdf}} \exercaptwo{e:uHopf} \end{figure} diff --git a/bifurcationTheory/examplesOfBifurcations/01000.tex b/bifurcationTheory/examplesOfBifurcations/01000.tex index ea9f7c02..35da7717 100644 --- a/bifurcationTheory/examplesOfBifurcations/01000.tex +++ b/bifurcationTheory/examplesOfBifurcations/01000.tex @@ -56,8 +56,8 @@ \begin{figure}[htb] \centerline{% - \psfig{file=exfigure/9-7-4a.eps,width=2.75in} - \psfig{file=exfigure/9-7-4b.eps,width=2.75in}} + \includegraphics[width=2.75in]{exfigure/9-7-4a.pdf} + \includegraphics[width=2.75in]{exfigure/9-7-4b.pdf}} \exercaptwo{c9.7.4} \end{figure} diff --git a/bifurcationTheory/examplesOfBifurcations/01100.tex b/bifurcationTheory/examplesOfBifurcations/01100.tex index 43d9bef5..1ae2dd34 100644 --- a/bifurcationTheory/examplesOfBifurcations/01100.tex +++ b/bifurcationTheory/examplesOfBifurcations/01100.tex @@ -59,8 +59,8 @@ \begin{figure}[htb] \centerline{% - \psfig{file=exfigure/9-7-5a.eps,width=2.75in} - \psfig{file=exfigure/9-7-5b.eps,width=2.75in}} + \includegraphics[width=2.75in]{exfigure/9-7-5a.pdf} + \includegraphics[width=2.75in]{exfigure/9-7-5b.pdf}} \exercaptwo{c9.7.5} \end{figure} diff --git a/bifurcationTheory/examplesOfBifurcations/01200.tex b/bifurcationTheory/examplesOfBifurcations/01200.tex index eeb2c08e..6f1d98cc 100644 --- a/bifurcationTheory/examplesOfBifurcations/01200.tex +++ b/bifurcationTheory/examplesOfBifurcations/01200.tex @@ -75,9 +75,9 @@ \begin{figure}[htb] \centerline{% - \psfig{file=exfigure/9-4-3a.eps,width=1.8in} - \psfig{file=exfigure/9-4-3b.eps,width=1.8in} - \psfig{file=exfigure/9-4-3c.eps,width=1.8in}} + \includegraphics[width=1.8in]{exfigure/9-4-3a.pdf} + \includegraphics[width=1.8in]{exfigure/9-4-3b.pdf} + \includegraphics[width=1.8in]{exfigure/9-4-3c.pdf}} \centerline{$\mu > 0$\hspace{1.2in}$-0.1 < \mu < 0$ \hspace{1.2in}$\mu < -0.1$} \centerline{Figure~\ref{c9.4.3a}\hspace{1.2in} diff --git a/bifurcationTheory/hopfBifurcationsRevisited.tex b/bifurcationTheory/hopfBifurcationsRevisited.tex index 43586a28..b25a4db8 100644 --- a/bifurcationTheory/hopfBifurcationsRevisited.tex +++ b/bifurcationTheory/hopfBifurcationsRevisited.tex @@ -60,9 +60,9 @@ \subsection*{Two Examples} \begin{figure*}[htb] \centerline{% - \psfig{file=../figures/hopfa.eps,width=2.3in} - \psfig{file=../figures/hopfb.eps,width=2.3in} - \psfig{file=../figures/hopfc.eps,width=2.3in}} + \includegraphics[width=2.3in]{../figures/hopfa.pdf} + \includegraphics[width=2.3in]{../figures/hopfb.pdf} + \includegraphics[width=2.3in]{../figures/hopfc.pdf}} \vspace*{-0.2in} \hspace{0.3in} $\rho=-0.1$ \hspace{1.7in} $\rho=0$ \hspace{1.8in} $\rho=0.1$ @@ -152,14 +152,14 @@ \subsection*{A Significant Effect of Nonlinearity} \begin{figure}[htb] \centerline{% - \psfig{file=../figures/Hopfbif1a.eps,height=1.7in}} + \includegraphics[height=1.7in]{../figures/Hopfbif1a.pdf}} \caption{Typical bifurcation diagrams for Hopf bifurcation.} \label{F:hopf} \end{figure} \begin{figure}[htb] \centerline{% - \psfig{file=../figures/Hopfbif1b.eps,height=1.7in}} + \includegraphics[height=1.7in]{../figures/Hopfbif1b.pdf}} \caption{Typical bifurcation diagrams for Hopf bifurcation.} \label{F:hopf2} \end{figure} @@ -215,9 +215,9 @@ \subsubsection*{Hopf Bifurcation in Phase-Amplitude Equations} \begin{figure*}[htb] \centerline{% - \psfig{file=../figures/hopfna.eps,width=2.3in} - \psfig{file=../figures/hopfnb.eps,width=2.3in} - \psfig{file=../figures/hopfnc.eps,width=2.3in}} + \includegraphics[width=2.3in]{../figures/hopfna.pdf} + \includegraphics[width=2.3in]{../figures/hopfnb.pdf} + \includegraphics[width=2.3in]{../figures/hopfnc.pdf}} \vspace*{-0.2in} \hspace{0.3in} $\rho=-0.1$ \hspace{1.7in} $\rho=0$ \hspace{1.8in} $\rho=0.1$ diff --git a/bifurcationTheory/saddleNodeBifurcationsRevisited.tex b/bifurcationTheory/saddleNodeBifurcationsRevisited.tex index 8ca8e793..b35ea58c 100644 --- a/bifurcationTheory/saddleNodeBifurcationsRevisited.tex +++ b/bifurcationTheory/saddleNodeBifurcationsRevisited.tex @@ -59,8 +59,8 @@ \subsection*{Saddle-Node Bifurcation in One Dimension} \begin{figure*}[htb] \centerline{% - \psfig{file=../figures/sbifBIF.eps,width=2.5in} \qquad \qquad - \psfig{file=../figures/sbifBIF2.eps,width=2.5in}} + \includegraphics[width=2.5in]{../figures/sbifBIF.pdf} \qquad \qquad + \includegraphics[width=2.5in]{../figures/sbifBIF2.pdf}} \hspace{1.0in} $a<0$ \hspace{2.8in} $a>0$ \caption{Bifurcation diagrams for \protect\eqref{e:1dsaddlenf}.} \label{F:1dsaddle} @@ -273,8 +273,8 @@ \subsubsection*{An Example of a Two Dimensional Saddle-Node Bifurcation} \begin{figure*}[htb] \centerline{% - \psfig{file=../figures/snexa.eps,width=3.2in} - \psfig{file=../figures/snexb.eps,width=3.2in}} + \includegraphics[width=3.2in]{../figures/snexa.pdf} + \includegraphics[width=3.2in]{../figures/snexb.pdf}} \vspace*{-0.2in} \hspace{1.0in} $\rho=-0.1$ \hspace{2.55in} $\rho=0.1$ \caption{Phase plane portrait for \protect\eqref{e:snex} on diff --git a/bifurcationTheory/saddleNodeBifurcationsRevisited/00200.tex b/bifurcationTheory/saddleNodeBifurcationsRevisited/00200.tex index c9bf9d72..bd5b45bc 100644 --- a/bifurcationTheory/saddleNodeBifurcationsRevisited/00200.tex +++ b/bifurcationTheory/saddleNodeBifurcationsRevisited/00200.tex @@ -55,8 +55,8 @@ \begin{figure}[htb] \centerline{% - \psfig{file=exfigure/9-3-1a.eps,width=2.75in} - \psfig{file=exfigure/9-3-1b.eps,width=2.75in}} + \includegraphics[width=2.75in]{exfigure/9-3-1a.pdf} + \includegraphics[width=2.75in]{exfigure/9-3-1b.pdf}} \exercaptwo{c9.3.1} \end{figure} diff --git a/bifurcationTheory/saddleNodeBifurcationsRevisited/00300.tex b/bifurcationTheory/saddleNodeBifurcationsRevisited/00300.tex index 73c7f993..d9b6ba4a 100644 --- a/bifurcationTheory/saddleNodeBifurcationsRevisited/00300.tex +++ b/bifurcationTheory/saddleNodeBifurcationsRevisited/00300.tex @@ -37,7 +37,7 @@ bifurcation diagram is shown in Figure~\ref{c9.3.5}. \begin{figure}[htb] \centerline{% - \psfig{file=exfigure/bifdiagex.eps,width=3.0in}} + \includegraphics[width=3.0in]{exfigure/bifdiagex.pdf}} \exercap{c9.3.5} \end{figure} diff --git a/bifurcationTheory/theContinuousFlowStirredTankReactor.tex b/bifurcationTheory/theContinuousFlowStirredTankReactor.tex index 1205fee3..2c3001a7 100644 --- a/bifurcationTheory/theContinuousFlowStirredTankReactor.tex +++ b/bifurcationTheory/theContinuousFlowStirredTankReactor.tex @@ -34,7 +34,7 @@ \begin{figure*}[htb] \centerline{% - \psfig{file=../figures/CSTR.eps,height=3.0in}} + \includegraphics[height=3.0in]{../figures/CSTR.pdf}} \caption{Schematic diagram for CSTR.} \label{F:CSTRs} \end{figure*}\index{CSTR} @@ -230,19 +230,19 @@ \subsection*{Numerical Solution of the CSTR} \begin{figure*} \centerline{% - \psfig{file=../figures/cstr495.eps,height=2.1in} - \psfig{file=../figures/cstr52.eps,height=2.1in}} + \includegraphics[height=2.1in]{../figures/cstr495.pdf} + \includegraphics[height=2.1in]{../figures/cstr52.pdf}} \vspace*{-0.2in} $\hspace{1.2in} \mbox{$\rho=0.495$ \hspace{2.0in} $\rho=0.52$}$ \centerline{% - \psfig{file=../figures/cstr545.eps,height=2.1in} - \psfig{file=../figures/cstr57.eps,height=2.1in}} + \includegraphics[height=2.1in]{../figures/cstr545.pdf} + \includegraphics[height=2.1in]{../figures/cstr57.pdf}} \vspace*{-0.4in} $\hspace{1.2in} \mbox{$\rho=0.545$ \hspace{2.0in} $\rho=0.57$}$ \vspace{0.4in} \centerline{% - \psfig{file=../figures/cstr72.eps,height=2.1in}} + \includegraphics[height=2.1in]{../figures/cstr72.pdf}} \vspace*{-0.8in} \hspace{2.6in} $\rho=0.72$ @@ -340,7 +340,7 @@ \subsection*{Bifurcation Diagrams} \begin{figure}[htb] \centerline{% - \psfig{file=../figures/cstrbif.eps,width=4.0in}} + \includegraphics[width=4.0in]{../figures/cstrbif.pdf}} \caption{Schematic bifurcation diagram for the CSTR} \label{F:CSTRbif} \end{figure} diff --git a/bifurcationTheory/theContinuousFlowStirredTankReactor/00200.tex b/bifurcationTheory/theContinuousFlowStirredTankReactor/00200.tex index 2ca793f1..251d860b 100644 --- a/bifurcationTheory/theContinuousFlowStirredTankReactor/00200.tex +++ b/bifurcationTheory/theContinuousFlowStirredTankReactor/00200.tex @@ -19,8 +19,8 @@ \begin{figure}[htb] \centerline{% - \psfig{file=exfigure/CSTR5a.eps,width=2.75in} - \psfig{file=exfigure/CSTR5b.eps,width=2.75in}} + \includegraphics[width=2.75in]{exfigure/CSTR5a.pdf} + \includegraphics[width=2.75in]{exfigure/CSTR5b.pdf}} \exercaptwo{E:CSTR5} \end{figure} diff --git a/bifurcationTheory/theContinuousFlowStirredTankReactor/00300.tex b/bifurcationTheory/theContinuousFlowStirredTankReactor/00300.tex index a97cf713..ac91b0d1 100644 --- a/bifurcationTheory/theContinuousFlowStirredTankReactor/00300.tex +++ b/bifurcationTheory/theContinuousFlowStirredTankReactor/00300.tex @@ -28,15 +28,15 @@ \begin{figure}[htb] \centerline{% - \psfig{file=exfigure/9-2-2a.eps,width=1.8in} - \psfig{file=exfigure/9-2-2b.eps,width=1.8in} - \psfig{file=exfigure/9-2-2c.eps,width=1.8in}} + \includegraphics[width=1.8in]{exfigure/9-2-2a.pdf} + \includegraphics[width=1.8in]{exfigure/9-2-2b.pdf} + \includegraphics[width=1.8in]{exfigure/9-2-2c.pdf}} \exercapthree{c9.2.2} \end{figure} \begin{figure}[htb] \centerline{% - \psfig{file=exfigure/9-2-2d.eps,width=3.0in}} + \includegraphics[width=3.0in]{exfigure/9-2-2d.pdf}} \centerline{Figure~\ref{c9.2.2}d} \end{figure} diff --git a/bifurcationTheory/theRemainingGlobalBifurcations.tex b/bifurcationTheory/theRemainingGlobalBifurcations.tex index ca13ceee..3a2a41fb 100644 --- a/bifurcationTheory/theRemainingGlobalBifurcations.tex +++ b/bifurcationTheory/theRemainingGlobalBifurcations.tex @@ -71,9 +71,9 @@ \subsection*{Saddle-Node Bifurcations of Periodic Solutions} \begin{figure*}[htb] \centerline{% - \psfig{file=../figures/pappa.eps,width=2.3in} - \psfig{file=../figures/pappb.eps,width=2.3in} - \psfig{file=../figures/pappc.eps,width=2.3in}} + \includegraphics[width=2.3in]{../figures/pappa.pdf} + \includegraphics[width=2.3in]{../figures/pappb.pdf} + \includegraphics[width=2.3in]{../figures/pappc.pdf}} \vspace*{-0.2in} \hspace{0.3in} $\rho>0$ \hspace{1.9in} $\rho=0$ \hspace{1.9in} $\rho<0$ @@ -127,9 +127,9 @@ \subsection*{Saddle--Saddle Connections: Heteroclinic Trajectories} \begin{figure*}[htb] \centerline{% - \psfig{file=../figures/heteroa.eps,width=2.3in} - \psfig{file=../figures/heterob.eps,width=2.3in} - \psfig{file=../figures/heteroc.eps,width=2.3in}} + \includegraphics[width=2.3in]{../figures/heteroa.pdf} + \includegraphics[width=2.3in]{../figures/heterob.pdf} + \includegraphics[width=2.3in]{../figures/heteroc.pdf}} \vspace*{-0.2in} \hspace{0.3in} $\rho=-0.1$ \hspace{1.7in} $\rho=0$ \hspace{1.8in} $\rho=0.1$ @@ -140,7 +140,7 @@ \subsection*{Saddle--Saddle Connections: Heteroclinic Trajectories} \begin{figure}[htb] \centerline{% - \psfig{file=../figures/heteroT.eps,width=2.5in}} + \includegraphics[width=2.5in]{../figures/heteroT.pdf}} \caption{Time series for heteroclinic trajectory in \protect\eqref{e:hetero} when $\rho=0$.} \label{F:heteroT} diff --git a/bifurcationTheory/theRemainingGlobalBifurcations/00200.tex b/bifurcationTheory/theRemainingGlobalBifurcations/00200.tex index 6eb4a3d1..367f660f 100644 --- a/bifurcationTheory/theRemainingGlobalBifurcations/00200.tex +++ b/bifurcationTheory/theRemainingGlobalBifurcations/00200.tex @@ -25,9 +25,9 @@ \begin{figure}[htb] \centerline{% - \psfig{file=exfigure/9-5-1a.eps,width=1.8in} - \psfig{file=exfigure/9-5-1b.eps,width=1.8in} - \psfig{file=exfigure/9-5-1c.eps,width=1.8in}} + \includegraphics[width=1.8in]{exfigure/9-5-1a.pdf} + \includegraphics[width=1.8in]{exfigure/9-5-1b.pdf} + \includegraphics[width=1.8in]{exfigure/9-5-1c.pdf}} \centerline{$\rho = 0.7$\hspace{1.3in}$\rho = 0.995$ \hspace{1.3in}$\rho = 1.1$} \exercapthree{c9.5.1} diff --git a/bifurcationTheory/theRemainingGlobalBifurcations/00300.tex b/bifurcationTheory/theRemainingGlobalBifurcations/00300.tex index 7f271b07..73f468c0 100644 --- a/bifurcationTheory/theRemainingGlobalBifurcations/00300.tex +++ b/bifurcationTheory/theRemainingGlobalBifurcations/00300.tex @@ -50,9 +50,9 @@ \begin{figure}[htb] \centerline{% - \psfig{file=exfigure/9-6-2a.eps,width=1.8in} - \psfig{file=exfigure/9-6-2b.eps,width=1.8in} - \psfig{file=exfigure/9-6-2c.eps,width=1.8in}} + \includegraphics[width=1.8in]{exfigure/9-6-2a.pdf} + \includegraphics[width=1.8in]{exfigure/9-6-2b.pdf} + \includegraphics[width=1.8in]{exfigure/9-6-2c.pdf}} \centerline{$\rho = -0.02$\hspace{1.1in}$\rho = -0.03$ \hspace{1.1in}$\rho = -0.027$} \centerline{Figure~\ref{c9.6.2a}\hspace{1.2in} diff --git a/bifurcationTheory/theRemainingGlobalBifurcations/00400.tex b/bifurcationTheory/theRemainingGlobalBifurcations/00400.tex index 47ff8dfa..3200578c 100644 --- a/bifurcationTheory/theRemainingGlobalBifurcations/00400.tex +++ b/bifurcationTheory/theRemainingGlobalBifurcations/00400.tex @@ -46,9 +46,9 @@ \begin{figure}[htb] \centerline{% - \psfig{file=exfigure/9-6-3a.eps,width=1.8in} - \psfig{file=exfigure/9-6-3b.eps,width=1.8in} - \psfig{file=exfigure/9-6-3c.eps,width=1.8in}} + \includegraphics[width=1.8in]{exfigure/9-6-3a.pdf} + \includegraphics[width=1.8in]{exfigure/9-6-3b.pdf} + \includegraphics[width=1.8in]{exfigure/9-6-3c.pdf}} \centerline{$\rho = 0$\hspace{1.3in}$\rho = 0.06$ \hspace{1.3in}$\rho = 0.07$} \centerline{Figure~\ref{c9.6.3a}\hspace{1.2in} diff --git a/bifurcationTheory/theRemainingGlobalBifurcations/00500.tex b/bifurcationTheory/theRemainingGlobalBifurcations/00500.tex index e1f045bd..2657167a 100644 --- a/bifurcationTheory/theRemainingGlobalBifurcations/00500.tex +++ b/bifurcationTheory/theRemainingGlobalBifurcations/00500.tex @@ -71,9 +71,9 @@ \begin{figure}[htb] \centerline{% - \psfig{file=exfigure/9-6-4a.eps,width=1.8in} - \psfig{file=exfigure/9-6-4b.eps,width=1.8in} - \psfig{file=exfigure/9-6-4c.eps,width=1.8in}} + \includegraphics[width=1.8in]{exfigure/9-6-4a.pdf} + \includegraphics[width=1.8in]{exfigure/9-6-4b.pdf} + \includegraphics[width=1.8in]{exfigure/9-6-4c.pdf}} \centerline{$\rho = 1.7$\hspace{1.3in}$\rho = 1.85$ \hspace{1.3in}$\rho = 2.1$} \exercapthree{c9.6.4b} diff --git a/bifurcationTheory/theRemainingGlobalBifurcations/00600.tex b/bifurcationTheory/theRemainingGlobalBifurcations/00600.tex index e649fcb4..fcf49b89 100644 --- a/bifurcationTheory/theRemainingGlobalBifurcations/00600.tex +++ b/bifurcationTheory/theRemainingGlobalBifurcations/00600.tex @@ -35,26 +35,26 @@ The following eight phase portraits bracket the seven bifurcations. \begin{figure}[htb] \centerline{% - \psfig{file=exfigure/pr3-M1.eps,width=2.75in} - \psfig{file=exfigure/pr3-M002.eps,width=2.75in}} + \includegraphics[width=2.75in]{exfigure/pr3-M1.pdf} + \includegraphics[width=2.75in]{exfigure/pr3-M002.pdf}} \centerline{Figure~\ref{c9.6.6}a ($\rho = -0.1$)\hspace{1.3in} Figure~\ref{c9.6.6}b ($\rho = -0.002$)} \end{figure} \begin{figure}[htb] \centerline{% - \psfig{file=exfigure/pr3-008.eps,width=2.75in} - \psfig{file=exfigure/pr3-05.eps,width=2.75in}} + \includegraphics[width=2.75in]{exfigure/pr3-008.pdf} + \includegraphics[width=2.75in]{exfigure/pr3-05.pdf}} \centerline{Figure~\ref{c9.6.6}c ($\rho = 0.008$)\hspace{1.3in} Figure~\ref{c9.6.6}d ($\rho = 0.05$)} \end{figure} \begin{figure}[htb] \centerline{% - \psfig{file=exfigure/pr3-08.eps,width=2.75in} - \psfig{file=exfigure/pr3-1.eps,width=2.75in}} + \includegraphics[width=2.75in]{exfigure/pr3-08.pdf} + \includegraphics[width=2.75in]{exfigure/pr3-1.pdf}} \centerline{Figure~\ref{c9.6.6}e ($\rho = 0.08$)\hspace{1.3in} Figure~\ref{c9.6.6}f ($\rho = 0.1$)} \end{figure} \begin{figure}[htb] \centerline{% - \psfig{file=exfigure/pr3-2.eps,width=2.75in} - \psfig{file=exfigure/pr3-3.eps,width=2.75in}} + \includegraphics[width=2.75in]{exfigure/pr3-2.pdf} + \includegraphics[width=2.75in]{exfigure/pr3-3.pdf}} \centerline{Figure~\ref{c9.6.6}g ($\rho = 0.2$)\hspace{1.3in} Figure~\ref{c9.6.6}h ($\rho = 0.3$)} \end{figure} diff --git a/bifurcationTheory/twoSpeciesPopulationModels.tex b/bifurcationTheory/twoSpeciesPopulationModels.tex index 387d930f..cdc66c37 100644 --- a/bifurcationTheory/twoSpeciesPopulationModels.tex +++ b/bifurcationTheory/twoSpeciesPopulationModels.tex @@ -94,7 +94,7 @@ \subsection*{Predator-Prey Equations} \begin{figure}[htb] \centerline{% - \psfig{file=../figures/pp1.eps,height=3.0in}} + \includegraphics[height=3.0in]{../figures/pp1.pdf}} \caption{Phase portrait for predator-prey equations \protect\eqref{e:PP}.} \label{F:PP1} @@ -298,8 +298,8 @@ \subsubsection*{Predator-Prey Volterra-Lotka Equations} \begin{figure*}[htb] \centerline{% - \psfig{file=../figures/pop3a.eps,height=2.5in} - \psfig{file=../figures/pop3b.eps,height=2.5in}} + \includegraphics[height=2.5in]{../figures/pop3a.pdf} + \includegraphics[height=2.5in]{../figures/pop3b.pdf}} \vspace*{-0.2in} \hspace{1.0in} $\rho=-0.1$ \hspace{2.5in} $\rho=0.1$ \caption{Phase portraits for Volterra-Lotka predator-prey diff --git a/bifurcationTheory/twoSpeciesPopulationModels/00500.tex b/bifurcationTheory/twoSpeciesPopulationModels/00500.tex index 19194c87..758b4a80 100644 --- a/bifurcationTheory/twoSpeciesPopulationModels/00500.tex +++ b/bifurcationTheory/twoSpeciesPopulationModels/00500.tex @@ -115,8 +115,8 @@ \begin{figure}[htb] \centerline{% - \psfig{file=exfigure/9-1-1a.eps,width=2.75in} - \psfig{file=exfigure/9-1-1b.eps,width=2.75in}} + \includegraphics[width=2.75in]{exfigure/9-1-1a.pdf} + \includegraphics[width=2.75in]{exfigure/9-1-1b.pdf}} \exercaptwo{c9.1.1} \end{figure} diff --git a/bifurcationTheory/twoSpeciesPopulationModels/01000.tex b/bifurcationTheory/twoSpeciesPopulationModels/01000.tex index 8c511431..caa57437 100644 --- a/bifurcationTheory/twoSpeciesPopulationModels/01000.tex +++ b/bifurcationTheory/twoSpeciesPopulationModels/01000.tex @@ -75,8 +75,8 @@ \begin{figure}[htb] \centerline{% - \psfig{file=exfigure/PPinit2.eps,width=2.75in} - \psfig{file=exfigure/PPinit.eps,width=2.75in}} + \includegraphics[width=2.75in]{exfigure/PPinit2.pdf} + \includegraphics[width=2.75in]{exfigure/PPinit.pdf}} \caption{(Left) Time series $y$ vs. $t$ of (\protect\ref{E:PPspec}) showing population of foxes after three years. (Right) Time series $x$ vs. $t$ of (\protect\ref{E:PPspec}) showing maximum rabbit population.} diff --git a/closedFormSolutionsForPlanarODEs/secondOrderEquations.tex b/closedFormSolutionsForPlanarODEs/secondOrderEquations.tex index e2805961..773302ea 100644 --- a/closedFormSolutionsForPlanarODEs/secondOrderEquations.tex +++ b/closedFormSolutionsForPlanarODEs/secondOrderEquations.tex @@ -80,7 +80,7 @@ \subsubsection*{Newton's Second Law and the Motion of a Spring} which is again a second order ordinary differential equation. \begin{figure}[thb] \centerline{% - \psfig{file=../figures/spring.eps,height=1.5in}} + \includegraphics[height=1.5in]{../figures/spring.pdf}} \caption{Hooke's Law spring.} \label{F:spring2} \end{figure} @@ -264,8 +264,8 @@ \subsection*{Solving the Spring Equation} left in Figure~\ref{F:springp}. \begin{figure*}[htb] \centerline{% - \psfig{file=../figures/springp.eps,width=3.0in} - \psfig{file=../figures/springpd.eps,width=3.0in}} + \includegraphics[width=3.0in]{../figures/springp.pdf} + \includegraphics[width=3.0in]{../figures/springpd.pdf}} \caption{(Left) Graph of solution to undamped spring equation with initial conditions $x(0)=1$ and $\dot{x}(0)=0$. (Right) Graph of solution to damped spring equation with the diff --git a/closedFormSolutionsForPlanarODEs/secondOrderEquations/01000.tex b/closedFormSolutionsForPlanarODEs/secondOrderEquations/01000.tex index ad2376ab..58081e80 100644 --- a/closedFormSolutionsForPlanarODEs/secondOrderEquations/01000.tex +++ b/closedFormSolutionsForPlanarODEs/secondOrderEquations/01000.tex @@ -14,8 +14,8 @@ \begin{figure}[htb] \centerline{% - \psfig{file=exfigure/6-10-5a.eps,width=2.75in} - \psfig{file=exfigure/6-10-5b.eps,width=2.75in}} + \includegraphics[width=2.75in]{exfigure/6-10-5a.pdf} + \includegraphics[width=2.75in]{exfigure/6-10-5b.pdf}} \exercaptwo{c6.7.5} \end{figure} diff --git a/closedFormSolutionsForPlanarODEs/similarMatrices/01100.tex b/closedFormSolutionsForPlanarODEs/similarMatrices/01100.tex index 72cc55ac..b890f4a0 100644 --- a/closedFormSolutionsForPlanarODEs/similarMatrices/01100.tex +++ b/closedFormSolutionsForPlanarODEs/similarMatrices/01100.tex @@ -48,9 +48,9 @@ \begin{figure}[htb] \centerline{% - \psfig{file=exfigure/6-3-3a.eps,width=1.8in} - \psfig{file=exfigure/6-3-3b.eps,width=1.8in} - \psfig{file=exfigure/6-3-3c.eps,width=1.8in}} + \includegraphics[width=1.8in]{exfigure/6-3-3a.pdf} + \includegraphics[width=1.8in]{exfigure/6-3-3b.pdf} + \includegraphics[width=1.8in]{exfigure/6-3-3c.pdf}} \exercapthree{c6.3.3} \end{figure} \end{solution} diff --git a/closedFormSolutionsForPlanarODEs/similarMatrices/01300.tex b/closedFormSolutionsForPlanarODEs/similarMatrices/01300.tex index 337eaa6d..0b7cf446 100644 --- a/closedFormSolutionsForPlanarODEs/similarMatrices/01300.tex +++ b/closedFormSolutionsForPlanarODEs/similarMatrices/01300.tex @@ -31,8 +31,8 @@ \begin{figure}[htb] \centerline{% - \psfig{file=exfigure/F_6_3_a.eps,width=2.0in} - \psfig{file=exfigure/F_6_3_b.eps,width=2.0in}} + \includegraphics[width=2.0in]{exfigure/F_6_3_a.pdf} + \includegraphics[width=2.0in]{exfigure/F_6_3_b.pdf}} \exercaptwo{a6.3.1} \end{figure} diff --git a/closedFormSolutionsForPlanarODEs/theInitialValueProblem/00800.tex b/closedFormSolutionsForPlanarODEs/theInitialValueProblem/00800.tex index 24342263..8d670093 100644 --- a/closedFormSolutionsForPlanarODEs/theInitialValueProblem/00800.tex +++ b/closedFormSolutionsForPlanarODEs/theInitialValueProblem/00800.tex @@ -67,9 +67,9 @@ \begin{figure}[htb] \centerline{% - \psfig{file=exfigure/6-1-4a.eps,width=1.8in} - \psfig{file=exfigure/6-1-4b.eps,width=1.8in} - \psfig{file=exfigure/6-1-4c.eps,width=1.8in}} + \includegraphics[width=1.8in]{exfigure/6-1-4a.pdf} + \includegraphics[width=1.8in]{exfigure/6-1-4b.pdf} + \includegraphics[width=1.8in]{exfigure/6-1-4c.pdf}} \exercapthree{c6.1.4} \end{figure} diff --git a/determinantsAndEigenvalues/determinants.tex b/determinantsAndEigenvalues/determinants.tex index bff030c7..9e67cb6a 100644 --- a/determinantsAndEigenvalues/determinants.tex +++ b/determinantsAndEigenvalues/determinants.tex @@ -505,7 +505,7 @@ \subsection*{An Inductive Formula for Determinants} \index{determinant!computation} \begin{figure*}[htb] \centerline{% - \psfig{file=../figures/det3.eps,height=2.5in}} + \includegraphics[height=2.5in]{../figures/det3.pdf}} \caption{Mnemonic for computation of determinants of $3\times 3$ matrices.} \label{F:det3} diff --git a/higherDimensionalSystems/MATLABODE.tex b/higherDimensionalSystems/MATLABODE.tex index 5b2d86be..ab14d703 100644 --- a/higherDimensionalSystems/MATLABODE.tex +++ b/higherDimensionalSystems/MATLABODE.tex @@ -161,7 +161,7 @@ \subsection*{The \Matlab Command {\tt ode45}}\index{\computer!ode45} \begin{figure}[htb] \centerline{% - \psfig{file=../figures/ode45ex1.eps,width=3.2in}} + \includegraphics[width=3.2in]{../figures/ode45ex1.pdf}} \caption{Approximation of the solution of \protect\eqref{eq:fexam1} obtained by {\tt ode45} in \protect\Matlabp.} \label{fig:ode45ex1} @@ -223,7 +223,7 @@ \subsection*{Accuracy of {\tt ode45}} \begin{figure}[htb] \centerline{% - \psfig{file=../figures/ode45err0.eps,width=3.2in}} + \includegraphics[width=3.2in]{../figures/ode45err0.pdf}} \caption{Absolute error in the approximation of the solution of \protect\eqref{eq:fexam1} obtained by {\tt ode45} in \protect\Matlab with default error bound {\tt 1e-6}.} @@ -257,7 +257,7 @@ \subsection*{Accuracy of {\tt ode45}} error oscillates, but is always smaller than $3\cdot 10^{-7}$. \begin{figure}[htb] \centerline{% - \psfig{file=../figures/ode45err1.eps,width=3.2in}} + \includegraphics[width=3.2in]{../figures/ode45err1.pdf}} \caption{Relative error in the approximation of the solution of \protect\eqref{eq:fexam1} obtained by {\tt ode45} in \protect\Matlab with default error bound {\tt 1e-3}.} @@ -289,7 +289,7 @@ \subsection*{Accuracy of {\tt ode45}} \begin{figure}[htb] \centerline{% - \psfig{file=../figures/ode45err2.eps,width=3.2in}} + \includegraphics[width=3.2in]{../figures/ode45err2.pdf}} \caption{Relative error in the approximation of the solution of \protect\eqref{eq:fexam1} obtained by {\tt ode45} in \protect\Matlab with {\tt 1e-8} error bound.} diff --git a/higherDimensionalSystems/MATLABODE/00200.tex b/higherDimensionalSystems/MATLABODE/00200.tex index 5cbeb36b..e886c79a 100644 --- a/higherDimensionalSystems/MATLABODE/00200.tex +++ b/higherDimensionalSystems/MATLABODE/00200.tex @@ -65,8 +65,8 @@ \begin{figure}[htb] \centerline{% - \psfig{file=exfigure/fig3_8a.eps,width=2.75in} - \psfig{file=exfigure/fig3_8b.eps,width=2.75in}} + \includegraphics[width=2.75in]{exfigure/fig3_8a.pdf} + \includegraphics[width=2.75in]{exfigure/fig3_8b.pdf}} \exercaptwo{c11.3.2A} \end{figure} diff --git a/higherDimensionalSystems/MATLABODE/00300.tex b/higherDimensionalSystems/MATLABODE/00300.tex index 2f931de7..7d1dad02 100644 --- a/higherDimensionalSystems/MATLABODE/00300.tex +++ b/higherDimensionalSystems/MATLABODE/00300.tex @@ -60,8 +60,8 @@ \begin{figure}[htb] \centerline{% - \psfig{file=exfigure/fig3_9a.eps,width=2.75in} - \psfig{file=exfigure/fig3_9b.eps,width=2.75in}} + \includegraphics[width=2.75in]{exfigure/fig3_9a.pdf} + \includegraphics[width=2.75in]{exfigure/fig3_9b.pdf}} \exercaptwo{c11.3.2B} \end{figure} diff --git a/higherDimensionalSystems/chaosAndTheLorenzEquation.tex b/higherDimensionalSystems/chaosAndTheLorenzEquation.tex index a2d51463..8606648e 100644 --- a/higherDimensionalSystems/chaosAndTheLorenzEquation.tex +++ b/higherDimensionalSystems/chaosAndTheLorenzEquation.tex @@ -51,7 +51,7 @@ \begin{figure}[bht] \centerline{% - \psfig{file=../figures/lorenz12.eps,width=3.0in}} + \includegraphics[width=3.0in]{../figures/lorenz12.pdf}} \caption{Approximation of chaotic solutions of the Lorenz system by {\tt ode45} illustrating sensitive dependence on initial conditions. (a) A solution starting at $(5,5,30)$; (b) a solution starting at @@ -83,7 +83,7 @@ \subsubsection*{Sensitive Dependence on Initial Conditions} \begin{figure}[htb] \centerline{% - \psfig{file=../figures/lorenz34.eps,width=3.0in}} + \includegraphics[width=3.0in]{../figures/lorenz34.pdf}} \caption{Approximation of chaotic solutions of the Lorenz system by {\tt ode45} illustrating sensitive dependence on initial conditions. (a) A solution starting at $(5.001,5,30)$; @@ -113,7 +113,7 @@ \subsubsection*{Sensitive Dependence on Initial Conditions} \end{verbatim}\index{\computer!plot3}\index{\computer!axis}\index{\computer!view} \begin{figure}[htb] \centerline{% - \psfig{file=../figures/lorenz5.eps,width=5.5in}} + \includegraphics[width=5.5in]{../figures/lorenz5.pdf}} \caption{Phase space plot of a solution of the Lorenz system starting at $(5,5,30)$.} \label{fig:lorenz3} @@ -144,7 +144,7 @@ \subsubsection*{Sensitive Dependence on Initial Conditions} \begin{figure}[htb] \centerline{% - \psfig{file=../figures/ftor3tsab.eps,width=3.0in}} + \includegraphics[width=3.0in]{../figures/ftor3tsab.pdf}} \caption{Time series for a quasiperiodic two-frequency solution of the nonlinear system \protect\eqref{e:ftor3} illustrating a lack of sensitive dependence on initial conditions: (a) $X_0=(0.1,0.03,0.001)$ and (b) diff --git a/higherDimensionalSystems/chaosAndTheLorenzEquation/00300.tex b/higherDimensionalSystems/chaosAndTheLorenzEquation/00300.tex index c11b5776..cb49a30d 100644 --- a/higherDimensionalSystems/chaosAndTheLorenzEquation/00300.tex +++ b/higherDimensionalSystems/chaosAndTheLorenzEquation/00300.tex @@ -33,10 +33,10 @@ \begin{figure}[htb] \centerline{% - \psfig{file=exfigure/11-4-2a.eps,width=1.35in} - \psfig{file=exfigure/11-4-2b.eps,width=1.35in} - \psfig{file=exfigure/11-4-2c.eps,width=1.35in} - \psfig{file=exfigure/11-4-2d.eps,width=1.35in}} + \includegraphics[width=1.35in]{exfigure/11-4-2a.pdf} + \includegraphics[width=1.35in]{exfigure/11-4-2b.pdf} + \includegraphics[width=1.35in]{exfigure/11-4-2c.pdf} + \includegraphics[width=1.35in]{exfigure/11-4-2d.pdf}} \centerline{Figure~\ref{c11.4.2}a\hspace{0.8in} Figure~\ref{c11.4.2}b\hspace{0.8in}Figure~\ref{c11.4.2}c \hspace{0.8in}Figure~\ref{c11.4.2}d} diff --git a/higherDimensionalSystems/chaosAndTheLorenzEquation/00400.tex b/higherDimensionalSystems/chaosAndTheLorenzEquation/00400.tex index c7eb907e..d53ce17a 100644 --- a/higherDimensionalSystems/chaosAndTheLorenzEquation/00400.tex +++ b/higherDimensionalSystems/chaosAndTheLorenzEquation/00400.tex @@ -36,11 +36,11 @@ \begin{figure}[htb] \centerline{% - \psfig{file=exfigure/11-4-3a.eps,width=1.35in} + \includegraphics[width=1.35in]{exfigure/11-4-3a.pdf} \hspace{0.5in} - \psfig{file=exfigure/11-4-3b.eps,width=1.35in} + \includegraphics[width=1.35in]{exfigure/11-4-3b.pdf} \hspace{0.3in} - \psfig{file=exfigure/11-4-3c.eps,width=1.35in}} + \includegraphics[width=1.35in]{exfigure/11-4-3c.pdf}} \exercapthree{c11.4.3} \end{figure} diff --git a/higherDimensionalSystems/chaosAndTheLorenzEquation/00600.tex b/higherDimensionalSystems/chaosAndTheLorenzEquation/00600.tex index 730b8e86..e2ffe67b 100644 --- a/higherDimensionalSystems/chaosAndTheLorenzEquation/00600.tex +++ b/higherDimensionalSystems/chaosAndTheLorenzEquation/00600.tex @@ -38,7 +38,7 @@ \begin{figure}[htb] \centerline{% - \psfig{file=exfigure/figf14_6_2.eps,width=3.5in}} + \includegraphics[width=3.5in]{exfigure/figf14_6_2.pdf}} \exercap{c11.6.1a} \end{figure} @@ -77,7 +77,7 @@ \begin{figure}[htb] \centerline{% - \psfig{file=exfigure/figf14_6_5.eps,width=3.5in}} + \includegraphics[width=3.5in]{exfigure/figf14_6_5.pdf}} \exercap{c11.6.1d} \end{figure} @@ -132,8 +132,8 @@ \begin{figure}[htb] \centerline{% - \psfig{file=exfigure/figf14_6_4.eps,width=2.7in} - \psfig{file=exfigure/figf14_6_4a.eps,width=2.7in}} + \includegraphics[width=2.7in]{exfigure/figf14_6_4.pdf} + \includegraphics[width=2.7in]{exfigure/figf14_6_4a.pdf}} \exercaptwo{c11.6.1c} \end{figure} @@ -171,7 +171,7 @@ \begin{figure}[htb] \centerline{% - \psfig{file=exfigure/figf14_6_3.eps,width=3.5in}} + \includegraphics[width=3.5in]{exfigure/figf14_6_3.pdf}} \exercap{c11.6.1b} \end{figure} @@ -212,7 +212,7 @@ \begin{figure}[htb] \centerline{% - \psfig{file=exfigure/figf14_6_6.eps,width=3.0in}} + \includegraphics[width=3.0in]{exfigure/figf14_6_6.pdf}} \exercap{c11.6.1e} \end{figure} @@ -255,8 +255,8 @@ \begin{figure}[htb] \centerline{% - \psfig{file=exfigure/figf14_6_7.eps,width=2.7in} - \psfig{file=exfigure/figf14_6_7a.eps,width=2.7in}} + \includegraphics[width=2.7in]{exfigure/figf14_6_7.pdf} + \includegraphics[width=2.7in]{exfigure/figf14_6_7a.pdf}} \exercaptwo{c11.6.1g} \end{figure} @@ -294,7 +294,7 @@ \begin{figure}[htb] \centerline{% - \psfig{file=exfigure/figf14_6_8.eps,width=3.0in}} + \includegraphics[width=3.0in]{exfigure/figf14_6_8.pdf}} \exercap{c11.6.1f} \end{figure} @@ -335,8 +335,8 @@ \begin{figure}[htb] \centerline{% - \psfig{file=exfigure/figf14_6_9.eps,width=2.7in} - \psfig{file=exfigure/figf14_6_9a.eps,width=2.7in}} + \includegraphics[width=2.7in]{exfigure/figf14_6_9.pdf} + \includegraphics[width=2.7in]{exfigure/figf14_6_9a.pdf}} \exercaptwo{c11.6.1h} \end{figure} diff --git a/higherDimensionalSystems/higherDimensionalSystemsUsingOde45.tex b/higherDimensionalSystems/higherDimensionalSystemsUsingOde45.tex index 5105f081..d723fc31 100644 --- a/higherDimensionalSystems/higherDimensionalSystemsUsingOde45.tex +++ b/higherDimensionalSystems/higherDimensionalSystemsUsingOde45.tex @@ -93,7 +93,7 @@ \subsubsection*{A Three Dimensional Linear Example} exponential decay in the $x_3$ coordinate. \begin{figure*}[htb] \centerline{% - \psfig{file=../figures/flinear1.eps,width=5.6in,height=2.8in}} + \includegraphics[width=5.6in,height=2.8in]{../figures/flinear1.eps} \caption{Time series showing convergence to the origin for the solution of the linear system $\dot X=AX$, where $A$ is as in \protect\eqref{E:3dexample}, with initial condition $X_0=(2,-1,-1)$.} @@ -123,7 +123,7 @@ \subsubsection*{A Three Dimensional Linear Example} using the \Matlab graphics command {\tt clf} to clear all previous graphics. \begin{figure}[htb] \centerline{% - \psfig{file=../figures/flinear2.eps,width=3.6in}} + \includegraphics[width=3.6in]{../figures/flinear2.pdf}} \caption{Phase space plot showing convergence to the origin for the solution of the linear system $\dot X=AX$, where $A$ is as in \protect\eqref{E:3dexample}, with initial condition $X_0=(2,-1,-1)$.} @@ -159,7 +159,7 @@ \subsubsection*{A Three Dimensional Nonlinear System} \begin{figure*}[htb] \centerline{% - \psfig{file=../figures/fnonlin3.eps,width=5.0in}} + \includegraphics[width=5.0in]{../figures/fnonlin3.pdf}} \caption{Time series showing convergence to the origin for the solution of the nonlinear system \protect\eqref{E:fnonlin} with initial condition $X_0=(2,-1,-1)$.} @@ -198,7 +198,7 @@ \subsection*{Periodic Solutions in Three Dimensions} solution settles into a periodic motion with the same period. \begin{figure*}[htb] \centerline{% - \psfig{file=../figures/f3perts.eps,width=3.0in}} + \includegraphics[width=3.0in]{../figures/f3perts.pdf}} \caption{Time series showing convergence to a limit cycle for the solution of the nonlinear system \protect\eqref{E:3per} with initial condition $X_0=(0.5,0.4,0.3)$.} @@ -217,7 +217,7 @@ \subsection*{Periodic Solutions in Three Dimensions} \begin{figure}[htb] \centerline{% - \psfig{file=../figures/f3perps.eps,width=3.0in}} + \includegraphics[width=3.0in]{../figures/f3perps.pdf}} \caption{Phase space picture showing convergence to a deformed `circle' for the solution of the nonlinear system \protect\eqref{E:3per} with initial condition $X_0=(0.5,0.4,0.3)$.} diff --git a/higherDimensionalSystems/higherDimensionalSystemsUsingOde45/00100.tex b/higherDimensionalSystems/higherDimensionalSystemsUsingOde45/00100.tex index 666c29fa..e03f68c5 100644 --- a/higherDimensionalSystems/higherDimensionalSystemsUsingOde45/00100.tex +++ b/higherDimensionalSystems/higherDimensionalSystemsUsingOde45/00100.tex @@ -49,7 +49,7 @@ \begin{figure}[htb] \centerline{% - \psfig{file=exfigure/11-3-1a.eps,width=3.0in}} + \includegraphics[width=3.0in]{exfigure/11-3-1a.pdf}} \exercap{c11.3.1a} \end{figure} @@ -97,7 +97,7 @@ \begin{figure}[htb] \centerline{% - \psfig{file=exfigure/11-3-1b.eps,width=3.0in}} + \includegraphics[width=3.0in]{exfigure/11-3-1b.pdf}} \exercap{c11.3.1b} \end{figure} diff --git a/higherDimensionalSystems/linearSystemsInJordanNormalForm.tex b/higherDimensionalSystems/linearSystemsInJordanNormalForm.tex index 3b3b2211..3912acff 100644 --- a/higherDimensionalSystems/linearSystemsInJordanNormalForm.tex +++ b/higherDimensionalSystems/linearSystemsInJordanNormalForm.tex @@ -149,7 +149,7 @@ \subsubsection*{An Example of a Real Eigenvalue Jordan Block Equation} \begin{figure}[htb] \centerline{% - \psfig{file=../figures/jordan.eps,width=3.5in}} + \includegraphics[width=3.5in]{../figures/jordan.pdf}} \caption{First component $x_1(t)$ of solution to Jordan block equation for $k=3$ when $X(0)=(0.5,1.5,2)$.} \label{F:Jordan} diff --git a/higherDimensionalSystems/quasiperiodicMotionsAndTori.tex b/higherDimensionalSystems/quasiperiodicMotionsAndTori.tex index 6ec74d4b..a78e59a1 100644 --- a/higherDimensionalSystems/quasiperiodicMotionsAndTori.tex +++ b/higherDimensionalSystems/quasiperiodicMotionsAndTori.tex @@ -140,7 +140,7 @@ \subsection*{A Linear Torus in Four Dimensions} \begin{figure*}[htb] \centerline{% - \psfig{file=../figures/ftor4ts.eps,width=5.3in}} + \includegraphics[width=5.3in]{../figures/ftor4ts.pdf}} \caption{Time series showing quasiperiodic two-frequency motion for the solution of the linear system \protect\eqref{e:tor4} with initial condition $X_0=(0.2,0.6,-0.5,0.1)$.} @@ -157,8 +157,8 @@ \subsection*{A Linear Torus in Four Dimensions} \begin{figure}[htb] \centerline{% - \psfig{file=../figures/ftor4ps1.eps,width=3.0in} - \psfig{file=../figures/ftor4ps2.eps,width=3.0in}} + \includegraphics[width=3.0in]{../figures/ftor4ps1.pdf} + \includegraphics[width=3.0in]{../figures/ftor4ps2.pdf}} \caption{Phase space projections showing quasiperiodic motion on a torus of the solution of the linear system \protect\eqref{e:tor4} with initial condition $X_0=(0.2,0.6,-0.5,0.1)$.} @@ -218,7 +218,7 @@ \subsubsection*{Motion on a Torus in Four Dimensions} \begin{figure}[htb] \centerline{% - \psfig{file=../figures/ftornlts.eps,width=5.3in}} + \includegraphics[width=5.3in]{../figures/ftornlts.pdf}} \caption{Time series showing quasiperiodic two-frequency motion for the solution of the nonlinear system \protect\eqref{e:nonlintor} with initial condition $X_0=(0.2,0.6,-0.5,0.1)$.} @@ -227,7 +227,7 @@ \subsubsection*{Motion on a Torus in Four Dimensions} \begin{figure}[htb] \centerline{% - \psfig{file=../figures/ftornlps.eps,width=5.0in}} + \includegraphics[width=5.0in]{../figures/ftornlps.pdf}} \caption{Phase space projections showing motion on a torus for the solution of the nonlinear system \protect\eqref{e:nonlintor} with initial condition $X_0=(0.2,0.6,-0.5,0.1)$.} @@ -277,7 +277,7 @@ \subsubsection*{A Torus in Three Dimensions} \begin{figure}[htb] \centerline{% - \psfig{file=../figures/ftor3ts.eps,width=5.0in}} + \includegraphics[width=5.0in]{../figures/ftor3ts.pdf}} \caption{Time series showing quasiperiodic two-frequency motion for the solution of the nonlinear system \protect\eqref{e:ftor3} with initial condition $X_0=(0.1,0.03,0.001)$.} @@ -286,7 +286,7 @@ \subsubsection*{A Torus in Three Dimensions} \begin{figure}[htb] \centerline{% - \psfig{file=../figures/ftor3ps.eps,width=5.0in}} + \includegraphics[width=5.0in]{../figures/ftor3ps.pdf}} \caption{Phase space showing motion on a torus for the solution trajectory of the nonlinear system \protect\eqref{e:ftor3} with initial condition $X_0=(0.1,0.03,0.001)$.} diff --git a/higherDimensionalSystems/quasiperiodicMotionsAndTori/00200.tex b/higherDimensionalSystems/quasiperiodicMotionsAndTori/00200.tex index 038cb996..8345eed1 100644 --- a/higherDimensionalSystems/quasiperiodicMotionsAndTori/00200.tex +++ b/higherDimensionalSystems/quasiperiodicMotionsAndTori/00200.tex @@ -37,9 +37,9 @@ \begin{figure}[htb] \centerline{% - \psfig{file=exfigure/tor4a.eps,width=2.0in} + \includegraphics[width=2.0in]{exfigure/tor4a.pdf} \hspace{1.0in} - \psfig{file=exfigure/tor4b.eps,width=2.0in}} + \includegraphics[width=2.0in]{exfigure/tor4b.pdf}} \exercaptwo{EX:tor4} \end{figure} diff --git a/laplaceTransforms/discontinuousForcing.tex b/laplaceTransforms/discontinuousForcing.tex index 42259eb1..f3a6c275 100644 --- a/laplaceTransforms/discontinuousForcing.tex +++ b/laplaceTransforms/discontinuousForcing.tex @@ -118,7 +118,7 @@ \subsubsection*{An Example with Impulse Forcing} the time when the impulse force is applied. \begin{figure}[htb] \centerline{% - \psfig{file=../figures/d1sol.eps,width=2.8in}} + \includegraphics[width=2.8in]{../figures/d1sol.pdf}} \caption{The solution of the initial value problem \protect\eqref{eq:delta1}.} \label{fig:delta1sol} @@ -227,7 +227,7 @@ \subsection*{Grand Finale} $t=1$ and at $t=3$ are readily observed. \begin{figure}[htb] \centerline{% - \psfig{file=../figures/dallsol.eps,width=3.2in}} + \includegraphics[width=3.2in]{../figures/dallsol.pdf}} \caption{The solution of the initial value problem \protect\eqref{eq:lapendexam}.} \label{fig:lapallsol} diff --git a/laplaceTransforms/discontinuousForcing/00500.tex b/laplaceTransforms/discontinuousForcing/00500.tex index 2a655450..860236aa 100644 --- a/laplaceTransforms/discontinuousForcing/00500.tex +++ b/laplaceTransforms/discontinuousForcing/00500.tex @@ -62,9 +62,9 @@ \begin{figure}[htb] \centerline{% - \psfig{file=exfigure/13-4-5a.eps,width=1.8in} - \psfig{file=exfigure/13-4-5b.eps,width=1.8in} - \psfig{file=exfigure/13-4-5c.eps,width=1.8in}} + \includegraphics[width=1.8in]{exfigure/13-4-5a.pdf} + \includegraphics[width=1.8in]{exfigure/13-4-5b.pdf} + \includegraphics[width=1.8in]{exfigure/13-4-5c.pdf}} \centerline{{\tt eps = 1e-6}\hspace{1.2in}{\tt eps = 1e-8} \hspace{1.2in}{\tt eps = 1e-10}} \exercapthree{c13.4.5} diff --git a/laplaceTransforms/laplaceTransformsAndTheirComputation.tex b/laplaceTransforms/laplaceTransformsAndTheirComputation.tex index 7f729881..d2a4e4a9 100644 --- a/laplaceTransforms/laplaceTransformsAndTheirComputation.tex +++ b/laplaceTransforms/laplaceTransformsAndTheirComputation.tex @@ -140,7 +140,7 @@ \subsection*{A Table of Laplace Transforms} \begin{figure}[htb] \centerline{% - \psfig{file=../figures/H1.eps,width=2.5in}} + \includegraphics[width=2.5in]{../figures/H1.pdf}} \caption{Graph of $H_1(t)$.} \label{F:H1} \end{figure} @@ -247,7 +247,7 @@ \subsubsection*{The Laplace Transform of Dirac Delta Functions} \begin{figure}[htb] \centerline{% - \psfig{file=../figures/deltah.eps,width=2.8in}} + \includegraphics[width=2.8in]{../figures/deltah.pdf}} \caption{Graph of the approximating function $g_h(t)$ of \protect\eqref{eq:deltah} for $c=1$ and $h=0.05$.} \label{fig:deltah} diff --git a/laplaceTransforms/rLCCircuits.tex b/laplaceTransforms/rLCCircuits.tex index 1696209b..9ea2b4e1 100644 --- a/laplaceTransforms/rLCCircuits.tex +++ b/laplaceTransforms/rLCCircuits.tex @@ -22,7 +22,7 @@ dependent voltage $V(t)$. \begin{figure}[htb] \centerline{% - \psfig{file=../figures/rcl.eps,width=2.0in}} + \includegraphics[width=2.0in]{../figures/rcl.pdf}} \caption{An RLC circuit with resistance $R$, inductance $L$, capacitance $C$, and a voltage source $V(t)$.} \label{fig:rcl} @@ -103,7 +103,7 @@ \begin{figure}[htb] \centerline{% - \psfig{file=../figures/sq.eps,width=3.0in}} + \includegraphics[width=3.0in]{../figures/sq.pdf}} \caption{A 1-periodic square wave $V(t)$ of amplitude $A=2$.} \label{fig:sq} \end{figure} @@ -183,7 +183,7 @@ \subsection*{Piecewise Smooth Periodic Forcing} to obtain a quasiperiodic motion\index{motion!quasiperiodic}. \begin{figure}[htb] \centerline{% - \psfig{file=../figures/lapperi.eps,width=3.5in}} + \includegraphics[width=3.5in]{../figures/lapperi.pdf}} \caption{The solution of the initial value problem \protect\eqref{eq:ivH1} where the external force is given by a periodic discontinuous function.} diff --git a/leastSquares/leastSquaresApproximations.tex b/leastSquares/leastSquaresApproximations.tex index 03b987c1..ebe83b5c 100644 --- a/leastSquares/leastSquaresApproximations.tex +++ b/leastSquares/leastSquaresApproximations.tex @@ -26,7 +26,7 @@ \begin{figure}[htb] \centerline{% - \psfig{file=../figures/nearest.eps,width=2.5in}} + \includegraphics[width=2.5in]{../figures/nearest.pdf}} \caption{The vector $\tilde{w}$ is the least squares approximation of the vector $b$ by a vector in $W$.} \label{F:nearest} \end{figure} diff --git a/leastSquares/leastSquaresFittingOfData.tex b/leastSquares/leastSquaresFittingOfData.tex index efe621a7..6292de5c 100644 --- a/leastSquares/leastSquaresFittingOfData.tex +++ b/leastSquares/leastSquaresFittingOfData.tex @@ -39,7 +39,7 @@ \subsubsection*{An Example of Best Linear Fit to Data} \end{verbatim} \begin{figure}[htb] \centerline{% - \psfig{file=../figures/linreg.eps,width=2.5in}} + \includegraphics[width=2.5in]{../figures/linreg.pdf}} \caption{Scatter plot of data in \protect\eqref{E:scatterdata}.} \label{F:linreg} \end{figure} @@ -115,7 +115,7 @@ \subsubsection*{An Example of Best Linear Fit to Data} $E(2,-4)=2.0928$. \begin{figure}[htb] \centerline{% - \psfig{file=../figures/linreg2.eps,width=2.5in}} + \includegraphics[width=2.5in]{../figures/linreg2.pdf}} \caption{Scatter plot of data in \protect\eqref{E:scatterdata} with best linear approximation.} \label{F:linreg2} @@ -197,7 +197,7 @@ \subsection*{Least Squares Fit to a Quadratic Polynomial} quadratic fit onto Figure~\ref{F:linreg2}. \begin{figure}[htb] \centerline{% - \psfig{file=../figures/linreg3.eps,width=2.5in}} + \includegraphics[width=2.5in]{../figures/linreg3.pdf}} \caption{Scatter plot of data in \protect\eqref{E:scatterdata} with best linear and quadratic approximations. The best linear fit is plotted with a dashed line.} @@ -393,8 +393,8 @@ \subsubsection*{Least Squares Fit to a Sinusoidal Function} \begin{figure*}[htb] \centerline{% - \psfig{file=../figures/ParisH.eps,width=2.5in} - \psfig{file=../figures/RioH.eps,width=2.5in}} + \includegraphics[width=2.5in]{../figures/ParisH.pdf} + \includegraphics[width=2.5in]{../figures/RioH.pdf}} \caption{Monthly averages of daily high temperatures in Paris (left) and Rio de Janeiro (right) with best sinusoidal approximation.} \label{F:ParisH} diff --git a/leastSquares/leastSquaresFittingOfData/00200.tex b/leastSquares/leastSquaresFittingOfData/00200.tex index 872aa0b7..afd073d7 100644 --- a/leastSquares/leastSquaresFittingOfData/00200.tex +++ b/leastSquares/leastSquaresFittingOfData/00200.tex @@ -58,7 +58,7 @@ \begin{figure}[htb] \centerline{% - \psfig{file=exfigure/7-6-1.eps,width=3.0in}} + \includegraphics[width=3.0in]{exfigure/7-6-1.pdf}} \exercap{c7.6.1} \end{figure} diff --git a/leastSquares/leastSquaresFittingOfData/00300.tex b/leastSquares/leastSquaresFittingOfData/00300.tex index f7a396ba..2033f558 100644 --- a/leastSquares/leastSquaresFittingOfData/00300.tex +++ b/leastSquares/leastSquaresFittingOfData/00300.tex @@ -30,8 +30,8 @@ \begin{figure}[htb] \centerline{% - \psfig{file=exfigure/7-6-2a.eps,width=2.75in} - \psfig{file=exfigure/7-6-2b.eps,width=2.75in}} + \includegraphics[width=2.75in]{exfigure/7-6-2a.pdf} + \includegraphics[width=2.75in]{exfigure/7-6-2b.pdf}} \exercaptwo{c7.6.2} \end{figure} diff --git a/leastSquares/leastSquaresFittingOfData/00400.tex b/leastSquares/leastSquaresFittingOfData/00400.tex index 07a0a548..8bf03149 100644 --- a/leastSquares/leastSquaresFittingOfData/00400.tex +++ b/leastSquares/leastSquaresFittingOfData/00400.tex @@ -41,7 +41,7 @@ \begin{figure}[htb] \centerline{% - \psfig{file=exfigure/7-6-3.eps,width=3.0in}} + \includegraphics[width=3.0in]{exfigure/7-6-3.pdf}} \exercap{c7.6.3} \end{figure} diff --git a/linearDifferentialEquations/periodicForcingAndResonance.tex b/linearDifferentialEquations/periodicForcingAndResonance.tex index 271605c6..9143576b 100644 --- a/linearDifferentialEquations/periodicForcingAndResonance.tex +++ b/linearDifferentialEquations/periodicForcingAndResonance.tex @@ -187,8 +187,8 @@ \subsubsection*{Quasiperiodic Two Frequency Motion} approximately equal to $\cos t$. See Figure~\ref{F:nonreson}. \begin{figure*}[htb] \centerline{% - \psfig{file=../figures/reson1a.eps,width=3.0in} - \psfig{file=../figures/reson1b.eps,width=3.0in}} + \includegraphics[width=3.0in]{../figures/reson1a.pdf} + \includegraphics[width=3.0in]{../figures/reson1b.pdf}} \caption{Solutions to: (Left) the unforced undamped spring equation and (Right) the forced spring equation when $\omega =4.5$.} \label{F:nonreson} @@ -216,7 +216,7 @@ \subsubsection*{Beats} of period about $80\pi$. See Figure~\ref{F:beats}. \begin{figure}[htb] \centerline{% - \psfig{file=../figures/beats.eps,width=3.5in}} + \includegraphics[width=3.5in]{../figures/beats.pdf}} \caption{Beats in the solution $x(t)$ to \protect{\eqref{e:x(t)reson}} when $\omega =1.05$ and $0\leq t\leq 100\pi$.} \label{F:beats} @@ -241,8 +241,8 @@ \subsubsection*{Resonance} while the nearby solution has long term modulation or beats. \begin{figure*}[htb] \centerline{% - \psfig{file=../figures/resona.eps,width=3.5in} - \psfig{file=../figures/resonb.eps,width=3.5in}} + \includegraphics[width=3.5in]{../figures/resona.pdf} + \includegraphics[width=3.5in]{../figures/resonb.pdf}} \caption{Two solutions $x(t)$ from \protect{\eqref{e:x(t)reson}} when $\omega =1.05$ and $\omega =1$ for $0\leq t\leq 30\pi$.} \label{F:reson} diff --git a/linearDifferentialEquations/periodicForcingAndResonance/00300.tex b/linearDifferentialEquations/periodicForcingAndResonance/00300.tex index 790ed754..5121c0c3 100644 --- a/linearDifferentialEquations/periodicForcingAndResonance/00300.tex +++ b/linearDifferentialEquations/periodicForcingAndResonance/00300.tex @@ -57,7 +57,7 @@ \begin{figure}[htb] \centerline{% - \psfig{file=exfigure/12-5-2.eps,width=3.0in}} + \includegraphics[width=3.0in]{exfigure/12-5-2.pdf}} \exercap{c12.5.2} \end{figure} diff --git a/linearMapsAndChangesOfCoordinates/matricesOfLinearMapsOnAVectorSpace.tex b/linearMapsAndChangesOfCoordinates/matricesOfLinearMapsOnAVectorSpace.tex index aa4381c5..256cfeee 100644 --- a/linearMapsAndChangesOfCoordinates/matricesOfLinearMapsOnAVectorSpace.tex +++ b/linearMapsAndChangesOfCoordinates/matricesOfLinearMapsOnAVectorSpace.tex @@ -179,8 +179,8 @@ \subsubsection*{Coordinates Relative to Two Different Bases in $\R^2$} \begin{figure*}[htb] \centerline{% - \psfig{file=../figures/ccoorda.eps,width=3.0in} - \psfig{file=../figures/ccoordb.eps,width=3.0in}} + \includegraphics[width=3.0in]{../figures/ccoorda.pdf} + \includegraphics[width=3.0in]{../figures/ccoordb.pdf}} \caption{The coordinates of $v=(1.9839,-0.0097)$ in the bases $w_1=(1,1), w_2=(1,-2)$ and $z_1=(1,3),z_2=(-1,2)$.} \label{F:2coords} diff --git a/linearMapsAndChangesOfCoordinates/vectorsAndMatricesInCoordinates.tex b/linearMapsAndChangesOfCoordinates/vectorsAndMatricesInCoordinates.tex index e1df9b14..fc482188 100644 --- a/linearMapsAndChangesOfCoordinates/vectorsAndMatricesInCoordinates.tex +++ b/linearMapsAndChangesOfCoordinates/vectorsAndMatricesInCoordinates.tex @@ -265,7 +265,7 @@ \subsubsection*{Planar Coordinates Viewed Geometrically using \Matlab} \begin{figure}[htb] \centerline{% - \psfig{file=../figures/coord.eps,width=3.5in}} + \includegraphics[width=3.5in]{../figures/coord.pdf}} \caption{The coordinates of $v=(2.0,0.5)$ in the basis $w_1=(1,1), w_2=(1,-2)$.} \label{F:coords} @@ -452,8 +452,8 @@ \subsubsection*{Visualization of Coordinate Changes in ODEs} \begin{figure*}[htb] \centerline{% - \psfig{file=../figures/saddle7a.eps,width=3.2in} - \psfig{file=../figures/saddle7b.eps,width=3.2in}} + \includegraphics[width=3.2in]{../figures/saddle7a.pdf} + \includegraphics[width=3.2in]{../figures/saddle7b.pdf}} \caption{Phase planes for the saddles $\dot{X}=BX$ and $\dot{X}=CX$.} \label{F:comparesim} \end{figure*} @@ -473,8 +473,8 @@ \subsubsection*{Visualization of Coordinate Changes in ODEs} \begin{figure*}[htb] \centerline{% - \psfig{file=../figures/center7a.eps,width=3.2in} - \psfig{file=../figures/center7b.eps,width=3.2in}} + \includegraphics[width=3.2in]{../figures/center7a.pdf} + \includegraphics[width=3.2in]{../figures/center7b.pdf}} \caption{Phase planes for the centers $\dot{X}=BX$ and $\dot{X}=CX$.} \label{F:comparesim2} \end{figure*} diff --git a/m_files/numeric-labels.rb b/m_files/numeric-labels.rb index 8ca7f630..48868dd8 100644 --- a/m_files/numeric-labels.rb +++ b/m_files/numeric-labels.rb @@ -1,3 +1,9 @@ +for file in Dir.new('packages').entries + if file !== '.' and file !== '..' then + `ln packages/#{file} linearAlgebra/#{file}` + end +end + for line in File.open("../linearAlgebra.aux").readlines if line.match( /\\newlabel{([^}]*)}{{([^}]*)}/ ) number = $2 diff --git a/matricesAndLinearity/linearity/01000.tex b/matricesAndLinearity/linearity/01000.tex index 604c2a7a..e77fcace 100644 --- a/matricesAndLinearity/linearity/01000.tex +++ b/matricesAndLinearity/linearity/01000.tex @@ -32,8 +32,8 @@ \begin{figure}[htb] \centerline{% - \psfig{file=exfigure/4-3-9a.eps,width=2.75in} - \psfig{file=exfigure/4-3-9b.eps,width=2.75in}} + \includegraphics[width=2.75in]{exfigure/4-3-9a.pdf} + \includegraphics[width=2.75in]{exfigure/4-3-9b.pdf}} \exercaptwo{c4.3.9} \end{figure} diff --git a/matricesAndLinearity/matrixMappings/01600.tex b/matricesAndLinearity/matrixMappings/01600.tex index 1e79f2f0..727f97cf 100644 --- a/matricesAndLinearity/matrixMappings/01600.tex +++ b/matricesAndLinearity/matrixMappings/01600.tex @@ -22,8 +22,8 @@ Figure~\ref{c4.2.5}. \begin{figure}[htb] \centerline{% - \psfig{file=exfigure/fig3-2-26a.eps,width=2.5in}\hspace*{-0.6in} - \psfig{file=exfigure/fig3-2-26b.eps,width=2.5in}} + \includegraphics[width=2.5in]{exfigure/fig3-2-26a.pdf}\hspace*{-0.6in} + \includegraphics[width=2.5in]{exfigure/fig3-2-26b.pdf}} \exercaptwo{c4.2.5} \end{figure} \end{solution} diff --git a/numericalSolutionsOfODEs/aDescriptionOfNumericalMethods.tex b/numericalSolutionsOfODEs/aDescriptionOfNumericalMethods.tex index 9b38439a..d5e06322 100644 --- a/numericalSolutionsOfODEs/aDescriptionOfNumericalMethods.tex +++ b/numericalSolutionsOfODEs/aDescriptionOfNumericalMethods.tex @@ -61,7 +61,7 @@ \subsection*{Euler's Method} \index{Euler's method} fixed time interval. \begin{figure*}[htb] \centerline{% - \psfig{file=../figures/eul1.eps,width=4.6in}} + \includegraphics[width=4.6in]{../figures/eul1.pdf}} \caption{Illustration of one step in Euler's method for $h=0.2$.} \label{fig:eul1ill} @@ -145,8 +145,8 @@ \subsubsection*{Comparison of Numerical Solutions with Exact Solutions} different from the one in Figure~\ref{fig:eulex1}(a). \begin{figure*}[htb] \centerline{% - \psfig{file=../figures/eulex1.eps,width=3in} - \psfig{file=../figures/eulex2.eps,width=3in}} + \includegraphics[width=3in]{../figures/eulex1.pdf} + \includegraphics[width=3in]{../figures/eulex2.pdf}} \caption{Approximation of the solution of \protect\eqref{eq:eulexivp} by Euler's method. (a) Circles mark the computed points; dashed lines @@ -174,7 +174,7 @@ \subsubsection*{Comparison of Numerical Solutions with Exact Solutions} \eqref{eq:eulmethod} by another expression in ways that we now explain. \begin{figure}[htb] \centerline{% - \psfig{file=../figures/eulimpr.eps,width=3.4in}} + \includegraphics[width=3.4in]{../figures/eulimpr.pdf}} \caption{Approximation of the solution of \protect\eqref{eq:eulexivp} by Euler's method with step size $h=0.05$. (Marks and lines as in Figure~\protect\ref{fig:eulex1}.)} @@ -282,8 +282,8 @@ \subsection*{The Modified Euler Method} \index{modified Euler method} \begin{figure*}[htb] \centerline{% - \psfig{file=../figures/meul1.eps,width=3in} - \psfig{file=../figures/meul2.eps,width=3in}} + \includegraphics[width=3in]{../figures/meul1.pdf} + \includegraphics[width=3in]{../figures/meul2.pdf}} \caption{Approximations of the solution of \protect\eqref{eq:eulexivp} by the modified Euler method with step sizes: (a) $h=0.2$; (b) $h=0.4$. @@ -324,7 +324,7 @@ \subsection*{Fourth Order Runga-Kutta Method} approximated on a significantly larger interval. \begin{figure}[htb] \centerline{% - \psfig{file=../figures/runkut1.eps,width=3.6in}} + \includegraphics[width=3.6in]{../figures/runkut1.pdf}} \caption{Approximation of the solution of \protect\eqref{eq:eulexivp} obtained by the fourth order Runge-Kutta method. The exact solution is superimposed (solid line).} @@ -429,7 +429,7 @@ \subsection*{Systems of Differential Equations} The result is shown in Figure~\ref{fig:sysEul1}. \begin{figure}[htb] \centerline{% - \psfig{file=../figures/eulsys1.eps,width=3.6in}} + \includegraphics[width=3.6in]{../figures/eulsys1.pdf}} \caption{Approximation of the solution of \protect\eqref{eq:numanalex1} by Euler's method with step size $h=0.05$. The single points of @@ -446,8 +446,8 @@ \subsection*{Systems of Differential Equations} it can be seen that the step size is indeed constant. \begin{figure*}[htb] \centerline{% - \psfig{file=../figures/eulsys2.eps,width=3in} - \psfig{file=../figures/eulsys3.eps,width=3in}} + \includegraphics[width=3in]{../figures/eulsys2.pdf} + \includegraphics[width=3in]{../figures/eulsys3.pdf}} \caption{Approximation of the $x$- and $y$-components of the solution of \protect\eqref{eq:numanalex1} by Euler's method with step size $h=0.05$.} diff --git a/numericalSolutionsOfODEs/appendixVariableStepMethods.tex b/numericalSolutionsOfODEs/appendixVariableStepMethods.tex index 459d5ef7..bf4a11dc 100644 --- a/numericalSolutionsOfODEs/appendixVariableStepMethods.tex +++ b/numericalSolutionsOfODEs/appendixVariableStepMethods.tex @@ -82,8 +82,8 @@ \begin{figure*}[htb] \centerline{% - \psfig{file=../figures/ode45step1.eps,width=3in} - \psfig{file=../figures/ode45step2.eps,width=3in}} + \includegraphics[width=3in]{../figures/ode45step1.pdf} + \includegraphics[width=3in]{../figures/ode45step2.pdf}} \caption{(a) Numerical solution of the initial value problem \protect\eqref{eq:odestepivp} using {\tt ode45}; (b) the different step sizes used by {\tt ode45} in diff --git a/numericalSolutionsOfODEs/errorBoundsForEulersMethod.tex b/numericalSolutionsOfODEs/errorBoundsForEulersMethod.tex index c95b2f44..68484e6d 100644 --- a/numericalSolutionsOfODEs/errorBoundsForEulersMethod.tex +++ b/numericalSolutionsOfODEs/errorBoundsForEulersMethod.tex @@ -242,8 +242,8 @@ \subsubsection*{Verification of Error Analysis using \Matlab} where we have changed the step size $h$ to $0.02$. \begin{figure*}[htb] \centerline{% - \psfig{file=../figures/globerr1.eps,width=2.9in} - \psfig{file=../figures/globerr2.eps,width=3.3in}} + \includegraphics[width=2.9in]{../figures/globerr1.pdf} + \includegraphics[width=3.3in]{../figures/globerr2.pdf}} \caption{Comparison of the global discretization error (marked by $+$) with its estimate given in \protect\eqref{eq:globerr} (marked by $\times$) for the step sizes (a) $h=0.1$ and @@ -281,7 +281,7 @@ \subsubsection*{Explicit Computation of Error Bounds} discretization error is shown in Figure~\ref{fig:globerr2}. \begin{figure}[htb] \centerline{% - \psfig{file=../figures/globerr5.eps,width=3.6in}} + \includegraphics[width=3.6in]{../figures/globerr5.pdf}} \caption{The global discretization error for the solution of \protect\eqref{eq:simplest} on the interval $[0,2]$ with step size $h=0.000424$.} diff --git a/numericalSolutionsOfODEs/localAndGlobalErrorBounds.tex b/numericalSolutionsOfODEs/localAndGlobalErrorBounds.tex index c765421b..0202b5b0 100644 --- a/numericalSolutionsOfODEs/localAndGlobalErrorBounds.tex +++ b/numericalSolutionsOfODEs/localAndGlobalErrorBounds.tex @@ -221,7 +221,7 @@ \subsubsection*{An Example Using Euler's Method} \begin{figure}[htb] \centerline{% - \psfig{file=../figures/globerr3.eps,width=3.2in}} + \includegraphics[width=3.2in]{../figures/globerr3.pdf}} \caption{The global discretization error (marked by $+$) and its bound given in \protect\eqref{eq:geestimate} (marked by $\times$) for the step size $h=0.1$.} @@ -430,7 +430,7 @@ \subsubsection*{Specifying the Tolerance} \begin{figure}[htb] \centerline{% - \psfig{file=../figures/globerr6.eps,width=3.2in}} + \includegraphics[width=3.2in]{../figures/globerr6.pdf}} \caption{The numerical solution obtained by Euler's method for the step size $h=0.0007$.} \label{fig:hsmall} diff --git a/orthogonality/gram_schmidt.tex b/orthogonality/gram_schmidt.tex index 2c0d227b..2d306ebd 100644 --- a/orthogonality/gram_schmidt.tex +++ b/orthogonality/gram_schmidt.tex @@ -39,7 +39,7 @@ \subsubsection*{The Case $j=2$} \begin{figure}[htb] \centerline{% - \psfig{file=../figures/gram.eps,width=2.0in}} + \includegraphics[width=2.0in]{../figures/gram.pdf}} \caption{Planar illustration of Gram-Schmidt orthonormalization.} \label{F:gram} \end{figure} diff --git a/preamble.tex b/preamble.tex index 4d60c344..07b6664a 100644 --- a/preamble.tex +++ b/preamble.tex @@ -1,11 +1,8 @@ -\usepackage{epsfig} - \graphicspath{ {./} {figures/} } -\usepackage{epstopdf} %\usepackage{ulem} \usepackage[normalem]{ulem} @@ -140,8 +137,6 @@ % {\end{equation}\renewcommand\endequation{\eqno \@eqnnum %$$\global\@ignoretrue}} -%\input{psfig.tex} - \author{Martin Golubitsky and Michael Dellnitz} %\newenvironment{matlabEquation}% diff --git a/preface.tex b/preface.tex index 2ad6eb6b..8c598940 100644 --- a/preface.tex +++ b/preface.tex @@ -111,7 +111,7 @@ %\begin{figure}[htb] % \centerline{% -% \psfig{file=figures/depdiag.eps}} +% \includegraphics{figures/depdiag.eps}} % \caption{Dependency relations between chapters.} % \label{F:depdiag} %\end{figure} diff --git a/preliminaries/theGeometryOfVectorOperations.tex b/preliminaries/theGeometryOfVectorOperations.tex index cdc65fb0..d54a035f 100644 --- a/preliminaries/theGeometryOfVectorOperations.tex +++ b/preliminaries/theGeometryOfVectorOperations.tex @@ -44,7 +44,7 @@ \subsection*{Geometry of Addition} \index{vector!addition} \begin{figure}[htb] \centerline{% - \psfig{file=../figures/vec2.eps,width=2.5in}} + \includegraphics[width=2.5in]{../figures/vec2.pdf}} \caption{Addition of two planar vectors.} \label{F:vec2} \end{figure} @@ -66,7 +66,7 @@ \subsection*{Geometry of Addition} \index{vector!addition} \begin{figure}[htb] \centerline{% - \psfig{file=../figures/vec3.eps,width=3.0in}} + \includegraphics[width=3.0in]{../figures/vec3.pdf}} \caption{Addition of two vectors in three dimensions.} \label{F:vec3} \end{figure} @@ -217,7 +217,7 @@ \subsection*{Dot Product and Angles} \begin{figure}[htb] \centerline{% - \psfig{file=../figures/costri.eps,height=2.0in}} + \includegraphics[height=2.0in]{../figures/costri.pdf}} \caption{Triangle formed by vectors $x$ and $y$ with interior angle $\theta$.} \label{F:costri} @@ -292,7 +292,7 @@ \subsubsection{Area of Parallelograms} \begin{figure}[htb] \centerline{% - \psfig{file=../figures/parallel.eps,width=3.5in}} + \includegraphics[width=3.5in]{../figures/parallel.pdf}} \caption{Parallelogram $P$ beside rectangle $R$ with same area.} \label{F:parallel} \end{figure} diff --git a/qualitativeTheoryOfPlanarODEs/sinksSaddlesAndSources.tex b/qualitativeTheoryOfPlanarODEs/sinksSaddlesAndSources.tex index e267831c..2ca4a797 100644 --- a/qualitativeTheoryOfPlanarODEs/sinksSaddlesAndSources.tex +++ b/qualitativeTheoryOfPlanarODEs/sinksSaddlesAndSources.tex @@ -176,9 +176,9 @@ \subsubsection*{Time Series} \begin{figure*}[htb] \centerline{% - \psfig{file=../figures/expdamp.eps,width=2.2in} - \psfig{file=../figures/oscil.eps,width=2.2in} - \psfig{file=../figures/grdecay.eps,width=2.2in}} + \includegraphics[width=2.2in]{../figures/expdamp.pdf} + \includegraphics[width=2.2in]{../figures/oscil.pdf} + \includegraphics[width=2.2in]{../figures/grdecay.pdf}} \caption{Time series for different sinks.} \label{F:oscil} \end{figure*} @@ -214,8 +214,8 @@ \subsubsection*{Sources Versus Sinks} \begin{figure*}[htb] \centerline{% - \psfig{file=../figures/asink.eps,width=3.2in} - \psfig{file=../figures/asource.eps,width=3.2in}} + \includegraphics[width=3.2in]{../figures/asink.pdf} + \includegraphics[width=3.2in]{../figures/asource.pdf}} \caption{(Left) Sink $\dot{X}=BX$ where $B$ is given in \protect{\eqref{E:SS}}. (Right) Source $\dot{X}=-BX$.} \label{F:SS} @@ -240,8 +240,8 @@ \subsection*{Phase Portraits for Saddles} \begin{figure*}[htb] \centerline{% - \psfig{file=../figures/linpnb.eps,width=3.5in} - \psfig{file=../figures/linpnts.eps,width=3.5in}} + \includegraphics[width=3.5in]{../figures/linpnb.pdf} + \includegraphics[width=3.5in]{../figures/linpnts.pdf}} \caption{(Left) Saddle phase portrait. (Right) First quadrant solution time series.} \label{F:linsaddle} diff --git a/qualitativeTheoryOfPlanarODEs/sinksSaddlesAndSources/00500.tex b/qualitativeTheoryOfPlanarODEs/sinksSaddlesAndSources/00500.tex index 5745e7e4..d3101077 100644 --- a/qualitativeTheoryOfPlanarODEs/sinksSaddlesAndSources/00500.tex +++ b/qualitativeTheoryOfPlanarODEs/sinksSaddlesAndSources/00500.tex @@ -33,8 +33,8 @@ \begin{figure}[htb] \centerline{% - \psfig{file=exfigure/A6_4_1a.eps,width=2.0in}} - % \psfig{file=exfigure/A6_4_1b.eps,width=2.0in}} + \includegraphics[width=2.0in]{exfigure/A6_4_1a.pdf}} + % \includegraphics[width=2.0in]{exfigure/A6_4_1b.pdf}} \exercap{A6.4.1} \end{figure} @@ -56,7 +56,7 @@ \begin{figure}[htb] \centerline{% - \psfig{file=exfigure/A6_4_2a.eps,width=2.0in}} + \includegraphics[width=2.0in]{exfigure/A6_4_2a.pdf}} \exercap{A6.4.2} \end{figure} \end{solution} @@ -81,7 +81,7 @@ \] \begin{figure}[htb] \centerline{% - \psfig{file=exfigure/A6_4_3a.eps,width=2.0in}} + \includegraphics[width=2.0in]{exfigure/A6_4_3a.pdf}} \exercap{A6.4.3} \end{figure} \end{solution} diff --git a/solvingLinearEquations/theGeometryOfLowDimensionalSolutions.tex b/solvingLinearEquations/theGeometryOfLowDimensionalSolutions.tex index dbf6d7d8..a661fa0c 100644 --- a/solvingLinearEquations/theGeometryOfLowDimensionalSolutions.tex +++ b/solvingLinearEquations/theGeometryOfLowDimensionalSolutions.tex @@ -106,7 +106,7 @@ \subsection*{Linear Equations in Two Dimensions} \begin{figure}[htb] \centerline{% - \psfig{file=../figures/lineint.eps,width=3.5in}} + \includegraphics[width=3.5in]{../figures/lineint.pdf}} \caption{Graph of equations in \protect\eqref{small}} \label{lineint} \end{figure} @@ -174,7 +174,7 @@ \subsection*{Linear Equations in Three Dimensions} \begin{figure}[htb] \centerline{% - \psfig{file=../figures/plane.eps,width=2.5in}} + \includegraphics[width=2.5in]{../figures/plane.pdf}} \caption{The plane containing $X_0$ and perpendicular to $N$.} \label{F:plane} \end{figure} @@ -209,7 +209,7 @@ \subsection*{Linear Equations in Three Dimensions} \begin{figure}[htb] \centerline{% - \psfig{file=../figures/p1int.eps,width=3.0in}} + \includegraphics[width=3.0in]{../figures/p1int.pdf}} \caption{Graph of \protect\eqref{-2x+3y+z=2}.} \label{F:p1int} \end{figure} @@ -237,7 +237,7 @@ \subsection*{Linear Equations in Three Dimensions} \begin{figure}[htb] \centerline{% - \psfig{file=../figures/p2int.eps,width=3.0in}} + \includegraphics[width=3.0in]{../figures/p2int.pdf}} \caption{Line of intersection of two planes.} \label{F:p2int} \end{figure} @@ -260,7 +260,7 @@ \subsection*{Linear Equations in Three Dimensions} \begin{figure}[htb] \centerline{% - \psfig{file=../figures/p3int.eps,width=3.0in}} + \includegraphics[width=3.0in]{../figures/p3int.pdf}} \caption{Point of intersection of three planes.} \label{F:p3int} \end{figure} @@ -328,7 +328,7 @@ \subsection*{Plotting Nonlinear Functions in \Matlab} produces the graph of \eqref{E:quadex} in Figure~\ref{F:quadex}. \begin{figure}[htb] \centerline{% - \psfig{file=../figures/quadex.eps,width=3.0in}} + \includegraphics[width=3.0in]{../figures/quadex.pdf}} \caption{Graph of $y = x^2 - 2x + 3$.} \label{F:quadex} \end{figure} diff --git a/solvingLinearEquations/theGeometryOfLowDimensionalSolutions/00800.tex b/solvingLinearEquations/theGeometryOfLowDimensionalSolutions/00800.tex index e7f95c46..97b85a83 100644 --- a/solvingLinearEquations/theGeometryOfLowDimensionalSolutions/00800.tex +++ b/solvingLinearEquations/theGeometryOfLowDimensionalSolutions/00800.tex @@ -32,8 +32,8 @@ \begin{figure}[htb] \centerline{% - \psfig{file=exfigure/2-2-10a.eps,width=2.75in} - \psfig{file=exfigure/2-2-10b.eps,width=2.75in}} + \includegraphics[width=2.75in]{exfigure/2-2-10a.pdf} + \includegraphics[width=2.75in]{exfigure/2-2-10b.pdf}} \exercaptwo{c2.2.10} \end{figure} diff --git a/solvingLinearEquations/theGeometryOfLowDimensionalSolutions/00900.tex b/solvingLinearEquations/theGeometryOfLowDimensionalSolutions/00900.tex index 890d3a87..e2210885 100644 --- a/solvingLinearEquations/theGeometryOfLowDimensionalSolutions/00900.tex +++ b/solvingLinearEquations/theGeometryOfLowDimensionalSolutions/00900.tex @@ -46,8 +46,8 @@ \begin{figure}[htb] \centerline{% - \psfig{file=exfigure/2-2-1a.eps,width=2.75in} - \psfig{file=exfigure/2-2-1b.eps,width=2.75in}} + \includegraphics[width=2.75in]{exfigure/2-2-1a.pdf} + \includegraphics[width=2.75in]{exfigure/2-2-1b.pdf}} \exercaptwo{c2.2.1} \end{figure} diff --git a/solvingLinearEquations/theGeometryOfLowDimensionalSolutions/01300.tex b/solvingLinearEquations/theGeometryOfLowDimensionalSolutions/01300.tex index a88c75a5..fcdae6ac 100644 --- a/solvingLinearEquations/theGeometryOfLowDimensionalSolutions/01300.tex +++ b/solvingLinearEquations/theGeometryOfLowDimensionalSolutions/01300.tex @@ -20,7 +20,7 @@ \begin{figure}[htb] \centerline{% - \psfig{file=exfigure/2-2-a5.eps,width=3.0in}} + \includegraphics[width=3.0in]{exfigure/2-2-a5.pdf}} \exercap{c2.2.a5} \end{figure} diff --git a/solvingOrdinaryDifferentialEquations/aSingleDifferentialEquation.tex b/solvingOrdinaryDifferentialEquations/aSingleDifferentialEquation.tex index 40c3469f..163ba5c0 100644 --- a/solvingOrdinaryDifferentialEquations/aSingleDifferentialEquation.tex +++ b/solvingOrdinaryDifferentialEquations/aSingleDifferentialEquation.tex @@ -269,7 +269,7 @@ \subsubsection*{The Linear Differential Equation of Growth and Decay} \begin{figure}[htb] \centerline{% - \psfig{file=../figures/graph1.eps,width=3.5in}} + \includegraphics[width=3.5in]{../figures/graph1.pdf}} \caption{Solutions of \protect\eqref{lin1} for $t\in [-1,4]$, $x_0=1$ and $\lambda=\pm 0.5$.} \label{graph_labelfig} diff --git a/solvingOrdinaryDifferentialEquations/aSingleDifferentialEquation/01100.tex b/solvingOrdinaryDifferentialEquations/aSingleDifferentialEquation/01100.tex index c8313974..657ade6d 100644 --- a/solvingOrdinaryDifferentialEquations/aSingleDifferentialEquation/01100.tex +++ b/solvingOrdinaryDifferentialEquations/aSingleDifferentialEquation/01100.tex @@ -45,10 +45,10 @@ \begin{figure}[htb] \centerline{% - \psfig{file=exfigure/3-1-a78a.eps,width=1.35in} - \psfig{file=exfigure/3-1-a78b.eps,width=1.35in} - \psfig{file=exfigure/3-1-a78c.eps,width=1.35in} - \psfig{file=exfigure/3-1-a78d.eps,width=1.35in}} + \includegraphics[width=1.35in]{exfigure/3-1-a78a.pdf} + \includegraphics[width=1.35in]{exfigure/3-1-a78b.pdf} + \includegraphics[width=1.35in]{exfigure/3-1-a78c.pdf} + \includegraphics[width=1.35in]{exfigure/3-1-a78d.pdf}} \centerline{Figure~\ref{c3.1.a78a}\hspace{0.8in} Figure~\ref{c3.1.a78b}\hspace{0.8in}Figure~\ref{c3.1.a78c} \hspace{0.8in}Figure~\ref{c3.1.a78d}} diff --git a/solvingOrdinaryDifferentialEquations/aSingleDifferentialEquation_12_28_18.tex b/solvingOrdinaryDifferentialEquations/aSingleDifferentialEquation_12_28_18.tex index 36a7738f..5fdb89ce 100644 --- a/solvingOrdinaryDifferentialEquations/aSingleDifferentialEquation_12_28_18.tex +++ b/solvingOrdinaryDifferentialEquations/aSingleDifferentialEquation_12_28_18.tex @@ -266,7 +266,7 @@ \subsubsection*{The Linear Differential Equation of Growth and Decay} \begin{figure}[htb] \centerline{% - \psfig{file=../figures/graph1.eps,width=3.5in}} + \includegraphics[width=3.5in]{../figures/graph1.pdf}} \caption{Solutions of \protect\eqref{lin1} for $t\in [-1,4]$, $x_0=1$ and $\lambda=\pm 0.5$.} \label{graph_labelfig} diff --git a/solvingOrdinaryDifferentialEquations/coupledLinearSystems.tex b/solvingOrdinaryDifferentialEquations/coupledLinearSystems.tex index ab3da7f5..c28c9933 100644 --- a/solvingOrdinaryDifferentialEquations/coupledLinearSystems.tex +++ b/solvingOrdinaryDifferentialEquations/coupledLinearSystems.tex @@ -62,7 +62,7 @@ \subsection*{Eigendirections} \begin{figure}[htb] \centerline{% - \psfig{file=../figures/invline.eps,width=3.5in}} + \includegraphics[width=3.5in]{../figures/invline.pdf}} \caption{{\sf \PPLANE\ Display} for \protect\eqref{lin3} with $a=-1=d$; $b=3=c$; and $x,y\in [-5,5]$. Solutions going through $(\pm 0.5,0)$ and $(0,\pm 0.5)$ are shown.} @@ -96,7 +96,7 @@ \subsection*{Eigendirections} infinity. The phase portrait is shown in Figure~\ref{pp_dsp2}. \begin{figure}[htb] \centerline{% - \psfig{file=../figures/pp_dsp2.eps,width=3.5in}} + \includegraphics[width=3.5in]{../figures/pp_dsp2.pdf}} \caption{{\sf \PPLANE\ Display} for the {\sf linear system} with $a=-1$, $b=-2$, $c=3$, $d=-1$.} \label{pp_dsp2} diff --git a/solvingOrdinaryDifferentialEquations/coupledLinearSystems/00200.tex b/solvingOrdinaryDifferentialEquations/coupledLinearSystems/00200.tex index 5c7db149..3659a7a8 100644 --- a/solvingOrdinaryDifferentialEquations/coupledLinearSystems/00200.tex +++ b/solvingOrdinaryDifferentialEquations/coupledLinearSystems/00200.tex @@ -25,9 +25,9 @@ Figure~\ref{c3.5.a01}c. \begin{figure}[htb] \centerline{% - \psfig{file=exfigure/3-5-a01a.eps,width=1.8in} - \psfig{file=exfigure/3-5-a01b.eps,width=1.8in} - \psfig{file=exfigure/3-5-a01c.eps,width=1.8in}} + \includegraphics[width=1.8in]{exfigure/3-5-a01a.pdf} + \includegraphics[width=1.8in]{exfigure/3-5-a01b.pdf} + \includegraphics[width=1.8in]{exfigure/3-5-a01c.pdf}} \centerline{$D = -1$\hspace{1.4in}$D = 1$\hspace{1.4in}$D = 0$} \exercapthree{c3.5.a01} \end{figure} diff --git a/solvingOrdinaryDifferentialEquations/coupledLinearSystems/00300.tex b/solvingOrdinaryDifferentialEquations/coupledLinearSystems/00300.tex index 849d0471..eafbc215 100644 --- a/solvingOrdinaryDifferentialEquations/coupledLinearSystems/00300.tex +++ b/solvingOrdinaryDifferentialEquations/coupledLinearSystems/00300.tex @@ -26,7 +26,7 @@ \begin{figure}[htb] \centerline{% - \psfig{file=exfigure/3-5-2.eps,width=3.0in}} + \includegraphics[width=3.0in]{exfigure/3-5-2.pdf}} \exercap{c3.5.2} \end{figure} diff --git a/solvingOrdinaryDifferentialEquations/coupledLinearSystems/00400.tex b/solvingOrdinaryDifferentialEquations/coupledLinearSystems/00400.tex index 5f05cd37..f01904cd 100644 --- a/solvingOrdinaryDifferentialEquations/coupledLinearSystems/00400.tex +++ b/solvingOrdinaryDifferentialEquations/coupledLinearSystems/00400.tex @@ -28,8 +28,8 @@ to $y = x$. \begin{figure}[htb] \centerline{% - \psfig{file=exfigure/3-5-3a.eps,width=2.75in} - \psfig{file=exfigure/3-5-3b.eps,width=2.75in}} + \includegraphics[width=2.75in]{exfigure/3-5-3a.pdf} + \includegraphics[width=2.75in]{exfigure/3-5-3b.pdf}} \exercaptwo{c3.5.3} \end{figure} diff --git a/solvingOrdinaryDifferentialEquations/coupledLinearSystems/00600.tex b/solvingOrdinaryDifferentialEquations/coupledLinearSystems/00600.tex index 1082a126..913c078a 100644 --- a/solvingOrdinaryDifferentialEquations/coupledLinearSystems/00600.tex +++ b/solvingOrdinaryDifferentialEquations/coupledLinearSystems/00600.tex @@ -18,7 +18,7 @@ \begin{figure}[htb] \centerline{% - \psfig{file=exfigure/3-5-4.eps,width=3.0in}} + \includegraphics[width=3.0in]{exfigure/3-5-4.pdf}} \exercap{c3.5.4} \end{figure} diff --git a/solvingOrdinaryDifferentialEquations/initialValueProblemsRevisited/00400.tex b/solvingOrdinaryDifferentialEquations/initialValueProblemsRevisited/00400.tex index bcd13ead..b89d2646 100644 --- a/solvingOrdinaryDifferentialEquations/initialValueProblemsRevisited/00400.tex +++ b/solvingOrdinaryDifferentialEquations/initialValueProblemsRevisited/00400.tex @@ -76,8 +76,8 @@ \begin{figure}[htb] \centerline{% - \psfig{file=exfigure/4-9-8a.eps,width=2.75in} - \psfig{file=exfigure/4-9-8b.eps,width=2.75in}} + \includegraphics[width=2.75in]{exfigure/4-9-8a.pdf} + \includegraphics[width=2.75in]{exfigure/4-9-8b.pdf}} \exercaptwo{c4.10A.4a} \end{figure} @@ -146,8 +146,8 @@ \begin{figure}[htb] \centerline{% - \psfig{file=exfigure/4-9-9a.eps,width=2.75in} - \psfig{file=exfigure/4-9-9b.eps,width=2.75in}} + \includegraphics[width=2.75in]{exfigure/4-9-9a.pdf} + \includegraphics[width=2.75in]{exfigure/4-9-9b.pdf}} \exercaptwo{c4.10A.4b} \end{figure} diff --git a/solvingOrdinaryDifferentialEquations/markovChains.tex b/solvingOrdinaryDifferentialEquations/markovChains.tex index ad318d65..3334eb0e 100644 --- a/solvingOrdinaryDifferentialEquations/markovChains.tex +++ b/solvingOrdinaryDifferentialEquations/markovChains.tex @@ -28,7 +28,7 @@ \subsection*{An Example of Cats} \begin{figure}[htb] \centerline{% - \psfig{file=../figures/apart.eps,width=3.2in}} + \includegraphics[width=3.2in]{../figures/apart.pdf}} \caption{Schematic design of apartment passages.} \label{F:apart} \end{figure} diff --git a/solvingOrdinaryDifferentialEquations/markovChains/00400.tex b/solvingOrdinaryDifferentialEquations/markovChains/00400.tex index 827818d4..4d6bbcee 100644 --- a/solvingOrdinaryDifferentialEquations/markovChains/00400.tex +++ b/solvingOrdinaryDifferentialEquations/markovChains/00400.tex @@ -22,7 +22,7 @@ \end{exercise} \begin{figure}[htb] \centerline{% - \psfig{file=../figures/Mchain.eps,width=3.0in}} + \includegraphics[width=3.0in]{../figures/Mchain.pdf}} \caption{State diagram of a Markov chain.} \label{F:Mchain} \end{figure} diff --git a/solvingOrdinaryDifferentialEquations/theInitialValueProblemAndEigenvectors/01200.tex b/solvingOrdinaryDifferentialEquations/theInitialValueProblemAndEigenvectors/01200.tex index ba182967..2d0c831b 100644 --- a/solvingOrdinaryDifferentialEquations/theInitialValueProblemAndEigenvectors/01200.tex +++ b/solvingOrdinaryDifferentialEquations/theInitialValueProblemAndEigenvectors/01200.tex @@ -61,9 +61,9 @@ \begin{figure}[htb] \centerline{% - \psfig{file=exfigure/4-4-5a.eps,width=1.8in} - \psfig{file=exfigure/4-4-5b.eps,width=1.8in} - \psfig{file=exfigure/4-4-5c.eps,width=1.8in}} + \includegraphics[width=1.8in]{exfigure/4-4-5a.pdf} + \includegraphics[width=1.8in]{exfigure/4-4-5b.pdf} + \includegraphics[width=1.8in]{exfigure/4-4-5c.pdf}} \exercapthree{c4.4.5} \end{figure} diff --git a/solvingOrdinaryDifferentialEquations/uncoupledLinearSystemsOfTwoEquations.tex b/solvingOrdinaryDifferentialEquations/uncoupledLinearSystemsOfTwoEquations.tex index f489ff1a..1b9016f4 100644 --- a/solvingOrdinaryDifferentialEquations/uncoupledLinearSystemsOfTwoEquations.tex +++ b/solvingOrdinaryDifferentialEquations/uncoupledLinearSystemsOfTwoEquations.tex @@ -180,7 +180,7 @@ \subsection*{Generating Phase Space Pictures with {\pplane}} \begin{figure*}[htb] \centerline{% - \psfig{file=../figures/pp_dsp1.eps,width=3.5in}} + \includegraphics[width=3.5in]{../figures/pp_dsp1.pdf}} \caption{{\sf \PPLANE\ Display} for \protect\eqref{lin2} with $a=2$, $d=-3$ and $x,y\in [-5,5]$. Solutions going through $(\pm 1,\pm 1)$ are shown.} @@ -259,11 +259,11 @@ \subsection*{Time Series} \begin{figure*}[htb] \centerline{% - \psfig{file=../figures/plotx.eps,height=2.0in,width=3.0in} - \psfig{file=../figures/ploty.eps,height=2.0in,width=3.0in}} + \includegraphics[height=2.0in,width=3.0in]{../figures/plotx.eps} + \includegraphics[height=2.0in,width=3.0in]{../figures/ploty.eps}} \centerline{% - \psfig{file=../figures/plot3d.eps,width=3.0in} - \psfig{file=../figures/plotall.eps,width=3.0in}} + \includegraphics[width=3.0in]{../figures/plot3d.pdf} + \includegraphics[width=3.0in]{../figures/plotall.pdf}} \caption{{\sf PPLANE9 Display} for \protect\eqref{lin2} with $a=2$, $d=-3$ and $x\in [0,25], y\in [0,20]$. The solution going through $(1,1)$ is shown. UL: $(t,x(t))$; diff --git a/solvingOrdinaryDifferentialEquations/uncoupledLinearSystemsOfTwoEquations/00400.tex b/solvingOrdinaryDifferentialEquations/uncoupledLinearSystemsOfTwoEquations/00400.tex index d30a2bd8..ac89aec2 100644 --- a/solvingOrdinaryDifferentialEquations/uncoupledLinearSystemsOfTwoEquations/00400.tex +++ b/solvingOrdinaryDifferentialEquations/uncoupledLinearSystemsOfTwoEquations/00400.tex @@ -18,7 +18,7 @@ \begin{figure}[htb] \centerline{% - \psfig{file=exfigure/3-4-3.eps,width=3.0in}} + \includegraphics[width=3.0in]{exfigure/3-4-3.pdf}} \exercap{c3.4.3} \end{figure} diff --git a/solvingOrdinaryDifferentialEquations/uncoupledLinearSystemsOfTwoEquations/00600.tex b/solvingOrdinaryDifferentialEquations/uncoupledLinearSystemsOfTwoEquations/00600.tex index c48a42c1..b130f19b 100644 --- a/solvingOrdinaryDifferentialEquations/uncoupledLinearSystemsOfTwoEquations/00600.tex +++ b/solvingOrdinaryDifferentialEquations/uncoupledLinearSystemsOfTwoEquations/00600.tex @@ -29,9 +29,9 @@ \begin{figure}[htb] \centerline{% - \psfig{file=exfigure/3-4-4a.eps,width=1.8in} - \psfig{file=exfigure/3-4-4b.eps,width=1.8in} - \psfig{file=exfigure/3-4-4c.eps,width=1.8in}} + \includegraphics[width=1.8in]{exfigure/3-4-4a.pdf} + \includegraphics[width=1.8in]{exfigure/3-4-4b.pdf} + \includegraphics[width=1.8in]{exfigure/3-4-4c.pdf}} \centerline{$a = 1\hbox{; }d = -1$\hspace{0.7in}$a = -0.01\hbox{; }d = -2.4$\hspace{0.7in}$a = 0\hbox{; }d = -2.3$} \exercapthree{c3.4.4} \end{figure} diff --git a/solvingOrdinaryDifferentialEquations/uncoupledLinearSystemsOfTwoEquations/00900.tex b/solvingOrdinaryDifferentialEquations/uncoupledLinearSystemsOfTwoEquations/00900.tex index 130587dc..1cdb576c 100644 --- a/solvingOrdinaryDifferentialEquations/uncoupledLinearSystemsOfTwoEquations/00900.tex +++ b/solvingOrdinaryDifferentialEquations/uncoupledLinearSystemsOfTwoEquations/00900.tex @@ -39,8 +39,8 @@ \] \begin{figure}[htb] \centerline{% - \psfig{file=exfigure/3-4-7a.eps,width=2.75in} - \psfig{file=exfigure/3-4-7b.eps,width=2.75in}} + \includegraphics[width=2.75in]{exfigure/3-4-7a.pdf} + \includegraphics[width=2.75in]{exfigure/3-4-7b.pdf}} \exercaptwo{c3.4.7} \end{figure} \end{solution}