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+
+\usepackage{amsmath}  % needed for \tfrac, \bmatrix, etc.
+\usepackage{amsfonts} % needed for bold Greek, Fraktur, and blackboard bold
+\usepackage{graphicx} % needed for figures
+
+\begin{document}
+
+% Be sure to use the \title, \author, \affiliation, and \abstract macros
+% to format your title page.  Don't use lower-level macros to  manually
+% adjust the fonts and centering.
+
+\title{Preparation of manuscripts for the American Journal of Physics
+using \LaTeX}
+% In a long title you can use \\ to force a line break at a certain location.
+
+%When submitting the manuscript for review, do not include the author's name or institution
+%\author{Daniel V. Schroeder}
+%\email{dschroeder@weber.edu} % optional
+%\altaffiliation[permanent address: ]{101 Main Street, Anytown, USA} % optional second address
+% If there were a second author at the same address, we would put another 
+% \author{} statement here.  Don't combine multiple authors in a single
+% \author statement.
+%\affiliation{Department of Physics, Weber State University, Ogden, UT 84408-2508}
+% Please provide a full mailing address here.
+
+%\author{David P. Jackson}
+%\email{ajp@dickinson.edu}
+%\affiliation{Department of Physics, Dickinson College, Carlisle, PA 17013}
+
+% See the REVTeX documentation for more examples of author and affiliation lists.
+
+\date{\today}
+
+\begin{abstract}
+This article explains and illustrates the use of \LaTeX\ in preparing manuscripts
+for submission to the American Journal of Physics (AJP). While it is not a
+comprehensive reference, we hope it will suffice for the needs of most
+AJP authors.  For help on a specific question, an internet search engine will 
+generally return many useful answers if the term ``latex'' is included in the 
+search box.
+\end{abstract}
+% AJP requires an abstract for all regular article submissions.
+% Abstracts are optional for submissions to the "Notes and Discussions" section.
+
+\maketitle % title page is now complete
+
+
+\section{Introduction} % Section titles are automatically converted to all-caps.
+% Section numbering is automatic.
+
+\LaTeX\ is typesetting software that is widely used by mathematicians
+and physicists because it is so good at typesetting equations. It is 
+also completely programmable, so it can be configured to produce 
+documents with almost any desired formatting, and to automatically
+number equations, figures, endnotes, and so on.
+
+To prepare manuscripts for the American Journal of Physics (AJP), 
+you should use the REV\TeX\ 4.1 format for Physical Review B
+preprints, as indicated in the \texttt{documentclass} line at the top 
+of this article's source file.  (If you're already familiar with 
+\LaTeX\ and have used other \LaTeX\ formats, please resist the 
+temptation to use them, or to otherwise override REV\TeX's formatting 
+conventions, in manuscripts that you prepare for AJP.)
+
+This sample article is intended as a tutorial, template, and reference for 
+AJP authors, illustrating most of the \LaTeX\ and REV\TeX\ features that 
+authors will need.  For a more comprehensive introduction to \LaTeX, 
+numerous books and online references are available.\cite{latexsite, 
+wikibook, latexbook}  Documentation for the REV\TeX\ package 
+can be found on the APS web site.\cite{revtex}
+
+\LaTeX\ is free software, available for Unix/Linux, Mac OS X, and Windows
+operating systems. For downloading and installation instructions, follow
+the links from the \LaTeX\ web site.\cite{latexsite} It is most
+convenient\cite{cloudLaTeX} to install a ``complete \TeX\ distribution,'' 
+which will include \LaTeX, the underlying \TeX\ engine, macro packages 
+such as REV\TeX, a large collection of fonts, and GUI tools for editing 
+and viewing your documents.  To test your installation, try to process
+this sample article.
+
+
+\section{Ordinary text and paragraphs}
+
+To typeset a paragraph of ordinary text, just type the text in your source
+file like this. Put line breaks
+wherever
+you
+want, and don't      worry      about      extra      spaces      between      words, which \LaTeX\ will ignore.  You can almost always trust \LaTeX\ to make your paragraphs look good, with neatly justified margins.  % Long lines of text are fine, since most editing programs will wrap them automatically.
+
+To start a new paragraph, just leave a blank line in your source file.
+
+A few punctuation characters require special treatment in \LaTeX. There 
+are no ``smart quotes,'' so you need to use the left-quote key (at the 
+top-left corner of the keyboard) for a left quote, and the ordinary apostrophe
+key (next to the semi-colon) for a right quote. Hit either key twice for double
+quotes, which are standard in American English.  Don't use shift-apostrophe
+to make double quotes.  Use single quotes when they're nested inside a 
+double-quoted quotation.  When a period or comma belongs at the end of
+a quotation, put it inside the quotes---even if it's not part of what you're
+quoting.\cite{nevermindlogic}
+
+Your fingers also need to distinguish between a hyphen (used for
+multi-word adjectives and for hyphenated names like Lennard-Jones), an 
+en-dash (formed by typing two consecutive hyphens, and used for ranges 
+of numbers like 1--100), and an em-dash (formed out of three consecutive
+hyphens and used as an attention-getting punctuation symbol---preferably 
+not too often).
+
+Some non-alphanumeric symbols like \$, \&, and \% have special meanings 
+in a \LaTeX\ source file, so if you want these symbols to appear in the output, 
+you need to precede them with a backslash.
+
+There are also special codes for generating the various accents
+that can appear in foreign-language words and names, such as Amp\`ere
+and Schr\"odinger.\cite{FontEncodingComment}
+
+You can switch to \textit{italic}, \textbf{bold}, and \texttt{typewriter} fonts
+when necessary. Use curly braces to enclose the text that is to appear in 
+the special font. In general, \LaTeX\ uses curly braces to group characters 
+together for some common transformation.
+
+Notice that any word or symbol preceded by the backslash character is
+a special instruction to \LaTeX, typically used to produce a special 
+symbol or to modify the typeset output in some way. These instructions 
+are also called \textit{control sequences} or \textit{macros}.  
+After you've used \LaTeX\ for a while, the little finger of your right 
+hand will be really good at finding the backslash and curly-brace keys.
+
+
+\section{Math symbols}
+
+To type mathematical symbols and expressions within a paragraph, put
+them between \$ signs, which indicate \textit{math mode}: $ab + 2c/d = e-3f$.
+\LaTeX\ ignores spaces in math mode, using its own algorithms to determine
+the right amount of space between symbols.  Notice that an ordinary letter 
+like~$x$, when used in math mode, is automatically typeset in italics. 
+This is why you need to use math mode for all mathematical
+expressions (except plain numerals), even when they don't contain any 
+special symbols.  But don't use math mode to italicize ordinary \textit{words}.
+
+Besides ordinary letters and numerals and common arithmetic symbols, math 
+mode provides a host of other characters that you can access via control 
+sequences.\cite{wikimathpage} These include Greek letters like $\pi$ and 
+$\Delta$ (note capitalization), symbols for operations and relations such 
+as $\cdot$, $\times$, $\pm$, $\gg$, $\leq$, $\sim$, $\approx$, $\propto$, 
+and $\rightarrow$, and special symbols like $\nabla$, $\partial$, $\infty$, 
+and~$\hbar$. You can decorate symbols with dots ($\dot x$ or $\ddot x$), 
+arrows ($\vec\mu$), bars ($\bar x$ or $\overline m$), hats ($\hat x$), 
+tildes ($\tilde f$ or $\widetilde w$), and radicals ($\sqrt\pi$, $\sqrt{2/3}$).
+Parentheses and square brackets require no special keystrokes, but you
+can also make curly braces and angle brackets: $\{\langle\ \cdots\ \rangle\}$.
+
+To make subscripts and superscripts, use the underscore and caret 
+(circumflex) symbols on your keyboard: $x^\mu$, $g_{\mu\nu}$, $\delta^i_j$, 
+$\epsilon^{ijk}$.  Notice that you need to put the subscript or superscript 
+in curly braces if it's longer than one character (or one control sequence). 
+You can even make nested subscripts and superscripts, as in $e^{-x^2}$.  
+If a subscript consists of an entire word or word-like abbreviation, 
+we usually put it in plain Roman type: $x_\textrm{max}$.  If you need to 
+put a subscript or superscript \textit{before} a symbol, use an empty
+set of curly braces: ${}^{235}_{\ 92}\textrm{U}$. (Notice the trick of using 
+backslash-space put a space before the 92.)
+
+\newcommand{\bE}{\mathbf{E}}   % defines the abbreviation \bE, used below
+
+To make boldface letters you use the \verb/\mathbf/ control sequence, as in
+$\nabla\times\mathbf{E} = -\partial\mathbf{B}/\partial t$.  For bold Greek
+letters like $\boldsymbol{\omega}$, you need to use \verb/\boldsymbol/
+instead.  You can also use calligraphic ($\mathcal{E}$), Fraktur 
+($\mathfrak{D}$), and blackboard bold ($\mathbb{R}$) fonts, if you need them. 
+If you'll be using a symbol in a special font repeatedly, you can save 
+some keystrokes by defining an abbreviation for it; for example, the 
+definition \verb/\newcommand{\bE}{\mathbf{E}}/ allows you to type simply 
+\verb/\bE/ to get $\bE$.
+
+Unit abbreviations, as in $1~\mathrm{eV} = 1.6\times10^{-19}~\mathrm{J}$,
+should be in the plain Roman font, not italics.  You can access this font
+from math mode using \verb/\mathrm/. For function names like $\sin\theta$, 
+$\exp x$, and $\ln N!$, \LaTeX\ provides special control sequences, 
+which you should use instead of \verb/\mathrm/ whenever possible because
+they work better with \LaTeX's automatic spacing algorithms.
+
+But \LaTeX\ doesn't always get the spacing right in mathematical formulas.
+In the previous paragraph we had to use the \verb/~/ symbol to 
+manually insert a space between each number and its units.  The \verb/~/
+symbol actually represents an unbreakable space, where \LaTeX\ will never
+insert a line break. For occasional minor adjustments to the spacing
+in a \LaTeX\ expression, you can insert or remove a little 
+space with \verb/\,/ and \verb/\!/.  Use these macros sparingly,
+because \LaTeX's default spacing rules will provide more consistency
+within and among AJP articles.  The most common use of \verb/\,/ 
+is in expressions like $T\,dS - P\,dV$.
+
+
+\section{Displayed equations}
+\label{DispEqSection}	% You can label sections for reference
+
+When an equation is important and/or tall and/or complicated, you should 
+display it on a line by itself, with a number. To do this, you put 
+\verb/\begin{equation}/ before the equation and \verb/\end{equation}/ 
+after it, as in     % Note: never put a blank line before an equation.
+\begin{equation}
+\int_0^\infty \! \frac{x^3}{e^x - 1} \, dx = 6\sum_{k=1}^\infty \frac1{k^4} = 
+    6\left(\frac{\pi^4}{90}\right) = \frac{\pi^4}{15}.
+\end{equation}
+% Don't put a blank line after the equation unless you're starting a new paragraph.
+This example also shows how to make the sum and integral symbols, big parentheses, 
+% Don't use \left and \right for small parentheses; you'll get too much space around them.
+and built-up fractions.  (Don't put built-up fractions in a 
+non-displayed equation, because there won't be enough vertical space in 
+AJP's final, single-spaced paragraphs.  Use the slashed form, $x^3/(e^x-1)$, 
+instead.)
+
+If you want to refer to an equation elsewhere in your manuscript, you can 
+give it a label.  For example, in the equation
+\begin{equation}
+\label{deriv}
+\frac{\Delta x}{\Delta t} \mathop{\longrightarrow}_{\Delta t\rightarrow0} \frac{dx}{dt} 
+ = \lim_{\Delta t\rightarrow0} \frac{\Delta x}{\Delta t}
+\end{equation}
+we've inserted \verb/\label{deriv}/ to label this equation 
+\texttt{deriv}.\cite{labelnames}  To refer to 
+Eq.~(\ref{deriv}), we then type \verb/\ref{deriv}/.\cite{footnotes}  Notice 
+that AJP's style conventions also require you to put the equation number in 
+parentheses when you refer to it, and to abbreviate ``Eq.''\ unless it's at 
+the beginning of a sentence.
+
+Some equations require more complicated layouts. In the equation
+\begin{equation}
+E_n = (n + \tfrac12)\hbar, \quad \textrm{where}\  n = 0, 1, 2, \ldots,
+\end{equation}
+we've used \verb/\quad/ to leave a wide space and \verb/\textrm/ to put ``where'' 
+in plain Roman type.  To create a matrix or column vector, as in
+\begin{equation}
+\begin{bmatrix}
+	t' \\
+	x' \\
+\end{bmatrix}
+=
+\begin{pmatrix}
+	 \gamma & -\beta\gamma \\
+	-\beta\gamma & \gamma \\
+\end{pmatrix}
+\begin{bmatrix}
+	t \\
+	x \\
+\end{bmatrix},
+\end{equation}
+you can use the \texttt{pmatrix} and/or \texttt{bmatrix} environment, 
+for matrices delimited by parentheses and/or brackets.  There's also
+a plain \texttt{matrix} environment that omits the delimiters.
+In this and other examples of \LaTeX\ tables and arrays, the \verb/&/ 
+character serves as a ``tab'' to separate columns, while the \verb/\\/ 
+control sequence marks the end of a row.
+
+For a list of related equations, with nicely lined-up equals signs, 
+use the \texttt{eqnarray} environment:
+\begin{eqnarray}
+\oint \vec B \cdot d\vec\ell & = & -\frac{d\Phi_E}{dt} ; \\
+\oint \vec E \cdot d\vec\ell & = & \mu_0\epsilon_0\frac{d\Phi_B}{dt} + \mu_0 I.
+\end{eqnarray}
+You can also use \texttt{eqnarray} to make a multi-line equation, for example,
+\begin{eqnarray}
+\mathcal{Z} 
+& = & 1 + e^{-(\epsilon-\mu)/kT} + e^{-2(\epsilon-\mu)/kT} + \cdots \nonumber \\
+& = & 1 + e^{-(\epsilon-\mu)/kT} + (e^{-(\epsilon-\mu)/kT})^2 + \cdots \nonumber \\
+& = & \frac{1}{1 - e^{-(\epsilon-\mu)/kT}}.
+\end{eqnarray}
+Here the first column of the second and third lines is empty.  Note that you 
+can use \verb/\nonumber/ within any line to suppress the generation of
+an equation number; just be sure that each multi-line equation has at least 
+one number.
+
+Another commonly used structure is the \texttt{cases} environment, as in
+\begin{equation}
+m(T) =
+\begin{cases}
+	0 & T > T_c \, , \\
+	\bigl(1 - [\sinh 2 \beta J]^{-4} \bigr)^{1/8} & T < T_c \, .
+\end{cases}
+\end{equation}
+
+At AJP we require that you put correct punctuation before and after every
+displayed equation, treating each equation as part of a correctly punctuated
+English sentence.\cite{mermin} The preceding examples illustrate good
+equation punctuation.
+
+
+\section{Figures}
+
+\LaTeX\ can import figures via the \verb/\includegraphics/ macro.
+For AJP, you should embed this in the \texttt{figure} environment, which 
+can place the figure in various locations.  This environment also lets 
+you add a caption (which AJP requires) and an optional label for referring 
+to the figure from elsewhere.  See Fig.~\ref{gasbulbdata} for an example.
+
+\begin{figure}[h!]
+% The bracketed code determines the figure's placement:  "h" stands for 
+% "here", telling LaTeX to put the figure as close to the current location 
+% as possible.  The ! overrides LaTeX's tendency to try to find a location 
+% that it thinks is better.  But don't agonize over the exact figure placement 
+% in your submitted manuscript.  For your initial submission, just make sure 
+% each figure is reasonably close to where it's first referenced.
+\centering
+\includegraphics{GasBulbData.eps}
+\caption{Pressure as a function of temperature for a fixed volume of air.  
+The three data sets are for three different amounts of air in the container. 
+For an ideal gas, the pressure would go to zero at $-273^\circ$C.  (Notice
+that this is a vector graphic, so it can be viewed at any scale without
+seeing pixels.)}
+\label{gasbulbdata}
+\end{figure}
+
+Most \LaTeX\ implementations can import a variety of graphics formats.
+For graphs and line drawings you should use vector (i.e., resolution-independent)
+graphics saved in encapsulated PostScript (.eps), scalable vector graphics (.svg), 
+or portable document format (.pdf).  Most good graphics software systems can 
+save to these formats.  Please don't use a rasterized graphics format
+(such as .jpg or .png or .tiff) for graphs or line drawings.
+
+\begin{figure}[h!]
+\centering
+\includegraphics[width=5in]{ThreeSunsets.jpg}
+% Notice the width specification.  Photographs should normally have a
+% resolution of approximately 300 pixels per inch when printed, that is,
+% a total width of about 1000 pixels for a photo to be printed one column
+% wide.  Note also that this included photo is in .jpg format even though 
+% a .tiff version should be submitted for final production.
+\caption{Three overlaid sequences of photos of the setting sun, taken
+near the December solstice (left), September equinox (center), and
+June solstice (right), all from the same location at 41$^\circ$ north
+latitude. The time interval between images in each sequence is approximately
+four minutes.}
+\label{sunsets}
+\end{figure}
+
+For photographs and other images that are \textit{inherently} made 
+of pixels (that is, rasters or bitmaps), \LaTeX\ can 
+(usually) handle the .jpg and .png formats as well as .eps and .pdf.  
+Figure~\ref{sunsets} is a .jpg example. For final production, however, 
+AJP prefers that raster images be in .tiff format.  Most \LaTeX\ systems 
+can't import .tiff images, so we recommend using .png or .jpg with \LaTeX\ 
+for your initial submission, while saving a higher-quality .tiff version 
+to submit as a separate file after your manuscript is conditionally accepted
+for publication.
+
+Please refer to the AJP editor's web site\cite{editorsite} for more details 
+on AJP's requirements for figure preparation.
+
+
+\section{Tables}
+
+Tables are somewhat similar to figures:  You use the \texttt{table} environment
+to let them ``float'' to an appropriate location, and to automatically number
+them and format their captions.  But whereas the content of a figure comes
+from an external file, the content of a table is typeset directly in \LaTeX.
+For that you use the \texttt{tabular} environment, which uses \verb/&/ and
+\verb/\\/ for tabbing and ending rows, just like the \texttt{matrix} and
+\texttt{eqnarray} environments discussed in Section~\ref{DispEqSection}.
+
+Table~\ref{bosons} shows a fairly simple example.  Notice that the caption comes
+before the table itself, so it will appear above the table instead of below.
+The \texttt{ruledtabular} environment, which surrounds \texttt{tabular},
+provides the double horizontal lines at the top and bottom, and stretches
+the table horizontally out to the margins.  (This will look funny for tables
+intended to fill only one column of a final journal page, but there's no 
+need to worry about such cosmetic details.)
+
+\begin{table}[h!]
+\centering
+\caption{Elementary bosons}
+\begin{ruledtabular}
+\begin{tabular}{l c c c c p{5cm}}
+% The codes above determine the horizontal alignment in each column.
+% Options are l (left), r (right), c (centered), and p (paragraph).
+% The p option allows an entry to be broken into multiple lines, and
+% therefore requires a width specification, in this case 5 centimeters.
+Name & Symbol & Mass (GeV/$c^2$) & Spin & Discovered & Interacts with \\
+\hline	% horizontal line to separate headings from data
+Photon & $\gamma$ & \ \ 0 & 1 & 1905 & Electrically charged particles \\
+Gluons & $g$ & \ \ 0 & 1 & 1978 & Strongly interacting particles (quarks and gluons) \\
+Weak charged bosons & $W^\pm$ & \ 82 & 1 & 1983 & Quarks, leptons, $W^\pm$, $Z^0$, $\gamma$ \\
+Weak neutral boson & $Z^0$ & \ 91 & 1 & 1983 & Quarks, leptons, $W^\pm$, $Z^0$ \\
+Higgs boson & $H$ & 126 & 0 & 2012 & Massive particles (according to theory) \\
+\end{tabular}
+\end{ruledtabular}
+\label{bosons}
+\end{table}
+% Tables, like figure captions, should be moved to the end when you submit 
+% an editable manuscript for production, after conditional acceptance.
+% Put the tables after the endnotes but before the figure captions.
+
+Every table is a little bit different, and many tables will require
+further tricks; see Refs.\ \onlinecite{wikibook} and~\onlinecite{latexbook}
+for examples.  Note that the AJP style does not ordinarily use lines 
+to separate rows and columns in the body of a table.
+
+
+\section{Special formats}
+
+\subsection{Block quotes}  % In subsection headings, only the first word is capitalized.
+
+If a quoted passage is long or important, you can use the \texttt{quote} 
+environment to typeset it as a block quote, as in this passage from The 
+Feynman Lectures:\cite{feynman}
+\begin{quote}
+A poet once said, ``The whole universe is in a glass of wine.'' We will 
+probably never know in what sense he meant that, for poets do not write 
+to be understood. But it is true that if we look at a glass of wine closely 
+enough we see the entire universe.
+\end{quote}
+
+\subsection{Numbered lists}
+
+To create a numbered list, use the \texttt{enumerate} environment and start
+each entry with the \verb/\item/ macro:
+\begin{enumerate}
+\item You can't win.
+\item You can't even break even.
+\item You can't get out of the game.
+\end{enumerate}
+
+\subsection{Unnumbered lists}
+
+For a bulleted list, just use \texttt{itemize} instead of \texttt{enumerate}:
+\begin{itemize}
+\item Across a resistor, $\Delta V = \pm IR$.
+\item Across a capacitor, $\Delta V = \pm Q/C$.
+\item Across an inductor, $\Delta V = \pm L(dI/dt)$.
+\end{itemize}
+
+\subsection{Literal text}
+
+For typesetting computer code, the \texttt{verbatim} environment reproduces
+every character verbatim, in a typewriter font:
+\begin{verbatim}
+    u[t_] := NIntegrate[
+        x^2 * Sqrt[x^2+t^-2] / (Exp[Sqrt[x^2+t^-2]] + 1), {x,0,Infinity}]
+    f[t_] := NIntegrate[
+        x^2 * Log[1+ Exp[-Sqrt[x2+t^-2]]], {x,0,Infinity}]
+    Plot[((11Pi^4/90) / (u[t]+f[t]+(2Pi^4/45)))^(1/3), {t,0,3}]
+\end{verbatim}
+There's also a \verb/\verb/ macro for typesetting short snippets of verbatim
+text within a paragraph. To use this macro, pick any character that doesn't
+appear within the verbatim text to use as a delimiter. Most of the examples
+in this article use \texttt{/} as a delimiter, but in \verb|{a/b}| we've used
+\verb/|/ instead.
+
+
+\section{Endnotes and references}
+
+This article has already cited quite a few endnotes, using the \verb/\cite/
+macro. See the end of this article (and source file) for the endnotes
+themselves, which are in an environment called \texttt{thebibliography}
+and are created with the \verb/\bibitem/ macro.  These macros require
+you to give each endnote a name.  The notes will be numbered in the
+order in which the \verb/\bibitem/ entries appear, and AJP requires that
+this order coincide with the order in which the notes are first cited in 
+the article.  You can cite multiple endnotes in a single \verb/\cite/, 
+separating their names by commas.  And you can cite each note as many 
+times as you like.
+
+Notice that in the AJP (and Physical Review B) style, the citation numbers 
+appear as superscripts. Think carefully about the optimal placement of
+each citation, and try not to attach citations to math symbols where the
+numbers might be misinterpreted as exponents. Often there will be a
+punctuation symbol after the word where you attach the citation; you
+should then put the citation \textit{after} the punctuation, not 
+before.\cite{nevermindlogic}
+
+If you want to refer directly to Ref.~\onlinecite{mermin} (or any other) 
+in a sentence, you can do so with the \verb/\onlinecite/ macro.
+
+Most endnotes consist of bibliographic citations.\cite{noBIBTeX}  Be sure 
+to learn and use the AJP styles for citing books,\cite{latexbook} 
+articles,\cite{dyson} edited volumes,\cite{examplevolume} and
+URLs.\cite{latexsite}  For example, article titles are in double quotes, 
+while book titles are in italics. Pay careful attention to all punctuation 
+symbols in citations.  Note that AJP requires that all article citations 
+include titles as well as beginning and ending page numbers.
+Please use standard abbreviations, as listed in the AIP Style 
+Manual,\cite{AIPstylemanual} for journal titles.
+
+
+\section{Conclusion}
+
+We hope this article will help you prepare beautifully typeset
+manuscripts for the American Journal of Physics.  Good typesetting requires
+considerable attention to detail, but this effort will pay off by making your
+manuscript easier and more enjoyable to read.  Your colleagues, reviewers, 
+and editors will be grateful for your effort.
+
+Of course, we encourage you to put as much care into the \textit{content} 
+of your manuscript as you put into its form.  The AIP Style 
+Manual\cite{AIPstylemanual} is an indispensable reference on good physics 
+writing, covering everything from planning and organization to standard 
+spellings and abbreviations.
+
+Most important of all, please familiarize yourself with the AJP Statement
+of Editorial Policy,\cite{editorsite} which describes the types of manuscripts 
+that AJP publishes and the audience for which AJP authors are expected to write.
+You wouldn't want to put all that care into preparing a manuscript for AJP,
+only to find that AJP is the wrong journal for your manuscript.
+
+We look forward to receiving your submission to AJP.
+
+
+\appendix*   % Omit the * if there's more than one appendix.
+
+\section{Uninteresting stuff}
+
+Appendices are for material that is needed for completeness but
+not sufficiently interesting to include in the main body of the paper.  Most
+articles don't need any appendices, but feel free to use them when
+appropriate.  This sample article needs an appendix only to illustrate how 
+to create an appendix.
+
+
+\begin{acknowledgments}
+
+We gratefully acknowledge Harvey Gould and Jan Tobochnik, who created an earlier 
+AJP \LaTeX\ sample article that inspired this one.  This work was supported by the 
+American Association of Physics Teachers.
+
+\end{acknowledgments}
+
+
+\begin{thebibliography}{99}
+% The numeral (here 99) in curly braces is nominally the number of entries in
+% the bibliography. It's supposed to affect the amount of space around the
+% numerical labels, so only the number of digits should matter--and even that
+% seems to make no discernible difference.
+
+\bibitem{latexsite} \LaTeX\ Project Web Site, \url{<http://www.latex-project.org/>}.
+
+\bibitem{wikibook} \textit{\LaTeX} (Wikibook), \url{<http://en.wikibooks.org/wiki/LaTeX/>}.
+
+\bibitem{latexbook}Helmut Kopka and Patrick W. Daly, \textit{A Guide to
+\LaTeX}, 4th edition (Addison-Wesley, Boston, 2004).
+
+\bibitem{revtex} REV\TeX\ 4 Home Page, \url{<https://authors.aps.org/revtex4/>}.
+
+\bibitem{cloudLaTeX} On the other hand, you can avoid the installation process
+entirely by using a cloud-based \LaTeX\ processor such as Overleaf,
+\url{<https://www.overleaf.com/>}.
+
+\bibitem{nevermindlogic} In typography, aesthetics often takes precedence over logic.
+
+\bibitem{FontEncodingComment} Please don't try to handle foreign characters 
+and accents with the \texttt{inputenc} and \texttt{fontenc} packages, which 
+are incompatible with AJP's editing process.
+
+\bibitem{wikimathpage} See the Mathematics chapter of Ref.~\onlinecite{wikibook}
+for an excellent overview of math symbols and equations, with examples.
+
+\bibitem{labelnames} Thinking up a good label name takes a moment, but 
+it's worth the trouble; we strongly advise against using labels like 
+\texttt{eq2}, which become extremely confusing after you decide to add 
+another equation before Eq.~(\ref{deriv}).
+
+\bibitem{footnotes} You need to process a file twice to get the counters correct.
+
+\bibitem{mermin} N. David Mermin, ``What's wrong with these equations?,'' 
+Phys. Today \textbf{42} (10), 9--11 (1989).  
+% Note that the issue number (10) in this citation is required, because
+% each issue of Physics Today starts over with page 1.  Also note the use of
+% an en-dash (--), not a hyphen (-), for the page range.
+
+\bibitem{editorsite} American Journal of Physics Editor's Web Site, 
+\url{<https://ajp.aapt.org/>}.
+
+\bibitem{feynman} Richard P. Feynman, Robert B. Leighton, and Matthew Sands, 
+\textit{The Feynman Lectures on Physics, Vol.\ 1} (Addison-Wesley, 1964), p.~3-10.
+% Note that this book is paginated by chapter; "3-10" is a single page reference
+% that uses a hyphen, not a range of pages that would us an en-dash (--).
+
+\bibitem{noBIBTeX} Many \LaTeX\ users manage their bibliographic data with 
+a tool called BIB\TeX.  Unfortunately, AJP cannot accept BIB\TeX\ files; all 
+bibliographic references must be incorporated into the manuscript file
+as shown here, at least when you send an editable file for production.
+
+\bibitem{dyson} Freeman J. Dyson, ``Feynman's proof of the Maxwell equations,''
+Am. J. Phys. \textbf{58} (3), 209--211.  
+% The issue number (3) in this citation is optional, because AJP's pagination 
+% is by volume.
+
+\bibitem{examplevolume} M. R. Flannery, ``Elastic scattering,'' in 
+\textit{Atomic, Molecular, and Optical Physics Handbook}, edited by
+G. W. F. Drake (AIP Press, New York, 1996), p.~520.
+
+\bibitem{AIPstylemanual} \textit{AIP Style Manual}, 4th edition (American 
+Institute of Physics, New York, 1990). Available online at 
+\url{<https://www.aapt.org/Publications/upload/aip_style_4thed.pdf>}. Although parts of 
+it have been made out of date by advancing technology, most of this manual 
+is still as useful as ever. Just be sure to follow AJP's specific rules
+whenever they conflict with those in the manual.
+
+\end{thebibliography}
+
+\end{document}

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+@CONTROL{REVTEX41Control}
+@CONTROL{apsrev41Control,author="08",editor="1",pages="0",title="",year="1"}