From ce398d08bfcdfae8141b54a61826671614751754 Mon Sep 17 00:00:00 2001 From: pkirwin Date: Tue, 2 Mar 2021 10:41:36 -0700 Subject: [PATCH] image formatting --- PS2/doc.aux | 4 +-- PS2/doc.fdb_latexmk | 14 +++++------ PS2/doc.log | 59 ++++++++++++++++++++++++-------------------- PS2/doc.pdf | Bin 1845313 -> 1844779 bytes PS2/doc.synctex.gz | Bin 155151 -> 154669 bytes PS2/doc.tex | 44 ++++++++++++++++++++++----------- 6 files changed, 70 insertions(+), 51 deletions(-) diff --git a/PS2/doc.aux b/PS2/doc.aux index 87d0493..cc31c13 100644 --- a/PS2/doc.aux +++ b/PS2/doc.aux @@ -14,5 +14,5 @@ \newlabel{eq:numerical_E}{{7}{4}} \@writefile{lof}{\contentsline {figure}{\numberline {2}{\ignorespaces Analytic solution to numeric system, plotted.\relax }}{5}{}\protected@file@percent } \@writefile{lof}{\contentsline {figure}{\numberline {5}{\ignorespaces Sketch of degenerate energy levels.\relax }}{7}{}\protected@file@percent } -\@writefile{lof}{\contentsline {figure}{\numberline {7}{\ignorespaces Numerical result (black line) and analytical solution scaled by \(a\) (orange circles).\relax }}{11}{}\protected@file@percent } -\gdef \@abspage@last{14} +\@writefile{lof}{\contentsline {figure}{\numberline {7}{\ignorespaces Numerical result (black line) and analytical solution scaled by \(a\) (orange circles).\relax }}{10}{}\protected@file@percent } +\gdef \@abspage@last{13} diff --git a/PS2/doc.fdb_latexmk b/PS2/doc.fdb_latexmk index 330970e..3bac965 100644 --- a/PS2/doc.fdb_latexmk +++ b/PS2/doc.fdb_latexmk @@ -1,5 +1,5 @@ # Fdb version 3 -["pdflatex"] 1614706087 "d:/Users/Speedee/Documents/University/Year5/Winter/ECE456/ProblemSets/Git/ECE_456/PS2/doc.tex" "d:/Users/Speedee/Documents/University/Year5/Winter/ECE456/ProblemSets/Git/ECE_456/PS2/doc.pdf" "doc" 1614706092 +["pdflatex"] 1614706875 "d:/Users/Speedee/Documents/University/Year5/Winter/ECE456/ProblemSets/Git/ECE_456/PS2/doc.tex" "d:/Users/Speedee/Documents/University/Year5/Winter/ECE456/ProblemSets/Git/ECE_456/PS2/doc.pdf" "doc" 1614706879 "C:/Users/speed/AppData/Local/MiKTeX/fonts/pk/ljfour/jknappen/ec/dpi600/tcrm1000.pk" 1614620319 11548 693fc704971bedc6e913b37b081cf40e "" "C:/Users/speed/AppData/Local/MiKTeX/miktex/data/le/pdftex/pdflatex.fmt" 1612675286 9293900 83195ab665706b6f706823352908aa95 "" "C:/Users/speed/AppData/Local/MiKTeX/pdftex/config/pdftex.map" 1614705484 80909 eab91d9745dd2edfd62a31d53cd5fe15 "" @@ -121,10 +121,10 @@ "C:/Users/speed/AppData/Local/Programs/MiKTeX/tex/latex/translator/translator.sty" 1596560046 8765 3368c4a5a4b5466261cafb836195e916 "" "C:/Users/speed/AppData/Local/Programs/MiKTeX/tex/latex/varwidth/varwidth.sty" 1238465940 10894 d359a13923460b2a73d4312d613554c8 "" "C:/Users/speed/AppData/Local/Programs/MiKTeX/tex/latex/xkeyval/xkeyval.sty" 1606298686 4902 efb3d66683a2da2a232f71e3a571a899 "" - 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\begin{minipage}[t]{\linewidth} + \begin{figure}[H] \centering - \begin{subfigure}{0.4\linewidth} + \begin{subfigure}{0.5\linewidth} \centering \includegraphics[width=\textwidth]{q1a_1and50.png} \caption{} \label{fig:q3_ne} \end{subfigure}% - \begin{subfigure}{0.4\linewidth} + \begin{subfigure}{0.5\linewidth} \centering \includegraphics[width=\textwidth]{q1a_eigenvals.png} - \caption{Comparison of first 101 numerical and analytic eigenvalues.} + \caption{} \label{fig:q3_current} \end{subfigure} \caption{(a) Probability densities for \(n=1\) and \(n=50\). (b) Comparison of first 101 numerical and analytic eigenvalues.} \end{figure} + \end{minipage} \item %1b \begin{enumerate}[align=left,leftmargin=*,labelsep=0em,label=(\roman*)] \item %1bi @@ -274,15 +277,18 @@ legend({'Numerical','Analytical'},'Location','northwest'); \end{equation} \item %1cii + + \begin{minipage}[t]{\linewidth} + + \centering + \adjustbox{valign=t}{ + \includegraphics[width=\textwidth]{q1cii.png} + } + \captionof{figure}{Analytic solution to numeric system, plotted.} + \end{minipage} + We can see here that the "predicted" numerical response matches nearly exactly the actual calculated numerical solution. - \begin{figure}[H] - \centering - \includegraphics[width=\textwidth]{q1cii.png} - \caption{Analytic solution to numeric system, plotted.} - \end{figure} - - \item %1ciii @@ -305,6 +311,9 @@ legend({'Numerical','Analytical'},'Location','northwest'); density function appears to be "squeezed" in the centre, for the $n = 50$ case. The \(n=50\) case is now a constant-amplitude wave, which corresponds to the expected analytic result - in contrast to the plot in section (a), which has a low-frequency envelope around it. + + \begin{minipage}[t]{\linewidth} + \begin{figure}[H] \centering \begin{subfigure}{0.5\textwidth} @@ -318,7 +327,7 @@ legend({'Numerical','Analytical'},'Location','northwest'); \caption{Comparison of first 101 numerical and analytic eigenvalues.} \end{subfigure} \end{figure} - + \end{minipage} \end{enumerate} @@ -334,7 +343,9 @@ legend({'Numerical','Analytical'},'Location','northwest'); H(1, N) = -t0; H(N, 1) = -t0; \end{lstlisting} - + + \begin{minipage}[t]{\linewidth} + \begin{figure}[H] \centering \begin{subfigure}{0.5\textwidth} @@ -348,6 +359,7 @@ H(N, 1) = -t0; \caption{Comparison of first 101 numerical and analytic eigenvalues.} \end{subfigure} \end{figure} + \end{minipage} \item %1dii @@ -456,6 +468,7 @@ yticks([0.005 0.01 0.015 0.02 0.025 0.03 0.035 0.04]); legend('n=2'); axis([0 1e-9 0 0.04]); \end{lstlisting} + \begin{minipage}[t]{\linewidth} \begin{figure}[H] \centering @@ -470,6 +483,7 @@ axis([0 1e-9 0 0.04]); \caption{2s probability density.} \end{subfigure} \end{figure} + \end{minipage} \item %2d For the 1s level, \boxed{E = -13.4978\:\mathrm{eV}}. \item %2e @@ -499,11 +513,11 @@ axis([0 1e-9 0 0.04]); as discussed in Problem 1. From (d), we also expect agreement in the curve shapes because the numerical and analytical energies for the 1s level are very similiar. We can see that the peak value of the analytic result is very slightly higher than that of the numerical result, which corresponds to the analytical result for the energy being slightly greater in magnitude (\(-13.6\) eV versus \(-13.4978\) eV). - \begin{figure}[H] + \begin{minipage}[t]{\linewidth} \centering \includegraphics[width=\textwidth]{q2f_fig.png} - \caption{Numerical result (black line) and analytical solution scaled by \(a\) (orange circles).} - \end{figure} + \captionof{figure}{Numerical result (black line) and analytical solution scaled by \(a\) (orange circles).} + \end{minipage}