annotate docs/SMC15/smc2015template.tex @ 686:fe18710dae70

Remove some redundancies from paper
author Brecht De Man <BrechtDeMan@users.noreply.github.com>
date Tue, 21 Apr 2015 16:50:10 +0100
parents 9e7742befd74
children 657d63ab4458
rev   line source
n@656 1 % -----------------------------------------------
n@656 2 % Template for SMC 2012
n@656 3 % adapted from the template for SMC 2011, which was adapted from that of SMC 2010
n@656 4 % -----------------------------------------------
n@656 5
n@656 6 \documentclass{article}
n@656 7 \usepackage{smc2015}
n@656 8 \usepackage{times}
n@656 9 \usepackage{ifpdf}
n@656 10 \usepackage[english]{babel}
n@656 11 \usepackage{cite}
n@656 12
BrechtDeMan@686 13 \hyphenation{Java-script}
BrechtDeMan@686 14
n@656 15 %%%%%%%%%%%%%%%%%%%%%%%% Some useful packages %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
n@656 16 %%%%%%%%%%%%%%%%%%%%%%%% See related documentation %%%%%%%%%%%%%%%%%%%%%%%%%%
n@656 17 %\usepackage{amsmath} % popular packages from Am. Math. Soc. Please use the
n@656 18 %\usepackage{amssymb} % related math environments (split, subequation, cases,
n@656 19 %\usepackage{amsfonts}% multline, etc.)
n@656 20 %\usepackage{bm} % Bold Math package, defines the command \bf{}
n@656 21 %\usepackage{paralist}% extended list environments
n@656 22 %%subfig.sty is the modern replacement for subfigure.sty. However, subfig.sty
n@656 23 %%requires and automatically loads caption.sty which overrides class handling
n@656 24 %%of captions. To prevent this problem, preload caption.sty with caption=false
n@656 25 %\usepackage[caption=false]{caption}
n@656 26 %\usepackage[font=footnotesize]{subfig}
n@656 27
n@656 28
n@656 29 %user defined variables
BrechtDeMan@683 30 \def\papertitle{WEB AUDIO EVALUATION TOOL: A BROWSER-BASED LISTENING TEST ENVIRONMENT} %?
n@656 31 \def\firstauthor{Nicholas Jillings}
n@656 32 \def\secondauthor{Brecht De Man}
n@656 33 \def\thirdauthor{David Moffat}
n@656 34 \def\fourthauthor{Joshua D. Reiss}
n@656 35
n@656 36 % adds the automatic
n@656 37 % Saves a lot of ouptut space in PDF... after conversion with the distiller
n@656 38 % Delete if you cannot get PS fonts working on your system.
n@656 39
n@656 40 % pdf-tex settings: detect automatically if run by latex or pdflatex
n@656 41 \newif\ifpdf
n@656 42 \ifx\pdfoutput\relax
n@656 43 \else
n@656 44 \ifcase\pdfoutput
n@656 45 \pdffalse
n@656 46 \else
n@656 47 \pdftrue
n@656 48 \fi
n@656 49
n@656 50 \ifpdf % compiling with pdflatex
n@656 51 \usepackage[pdftex,
n@656 52 pdftitle={\papertitle},
n@656 53 pdfauthor={\firstauthor, \secondauthor, \thirdauthor},
n@656 54 bookmarksnumbered, % use section numbers with bookmarks
n@656 55 pdfstartview=XYZ % start with zoom=100% instead of full screen;
n@656 56 % especially useful if working with a big screen :-)
n@656 57 ]{hyperref}
n@656 58 %\pdfcompresslevel=9
n@656 59
n@656 60 \usepackage[pdftex]{graphicx}
n@656 61 % declare the path(s) where your graphic files are and their extensions so
n@656 62 %you won't have to specify these with every instance of \includegraphics
n@656 63 \graphicspath{{./figures/}}
n@656 64 \DeclareGraphicsExtensions{.pdf,.jpeg,.png}
n@656 65
n@656 66 \usepackage[figure,table]{hypcap}
n@656 67
n@656 68 \else % compiling with latex
n@656 69 \usepackage[dvips,
n@656 70 bookmarksnumbered, % use section numbers with bookmarks
n@656 71 pdfstartview=XYZ % start with zoom=100% instead of full screen
n@656 72 ]{hyperref} % hyperrefs are active in the pdf file after conversion
n@656 73
n@656 74 \usepackage[dvips]{epsfig,graphicx}
n@656 75 % declare the path(s) where your graphic files are and their extensions so
n@656 76 %you won't have to specify these with every instance of \includegraphics
n@656 77 \graphicspath{{./figures/}}
n@656 78 \DeclareGraphicsExtensions{.eps}
n@656 79
n@656 80 \usepackage[figure,table]{hypcap}
n@656 81 \fi
n@656 82
n@656 83 %setup the hyperref package - make the links black without a surrounding frame
n@656 84 \hypersetup{
n@656 85 colorlinks,%
n@656 86 citecolor=black,%
n@656 87 filecolor=black,%
n@656 88 linkcolor=black,%
n@656 89 urlcolor=black
n@656 90 }
n@656 91
n@656 92
n@656 93 % Title.
n@656 94 % ------
n@656 95 \title{\papertitle}
n@656 96
n@656 97 % Authors
n@656 98 % Please note that submissions are NOT anonymous, therefore
n@656 99 % authors' names have to be VISIBLE in your manuscript.
n@656 100 %
n@656 101 % Single address
n@656 102 % To use with only one author or several with the same address
n@656 103 % ---------------
n@656 104 %\oneauthor
n@656 105 % {\firstauthor} {Affiliation1 \\ %
n@656 106 % {\tt \href{mailto:author1@smcnetwork.org}{author1@smcnetwork.org}}}
n@656 107
n@656 108 %Two addresses
n@656 109 %--------------
n@656 110 % \twoauthors
n@656 111 % {\firstauthor} {Affiliation1 \\ %
n@656 112 % {\tt \href{mailto:author1@smcnetwork.org}{author1@smcnetwork.org}}}
n@656 113 % {\secondauthor} {Affiliation2 \\ %
n@656 114 % {\tt \href{mailto:author2@smcnetwork.org}{author2@smcnetwork.org}}}
n@656 115
n@656 116
n@656 117
n@656 118 % FIX!!!
n@656 119 \fourauthors
n@656 120 {\firstauthor} {%Affiliation1 \\
n@656 121 {\tt \href{mailto:b.deman@qmul.ac.uk}{n.g.r.jillings@se14.qmul.ac.uk, }}}
n@656 122 {\secondauthor} {%Affiliation2\\ %
n@656 123 {\tt \href{mailto:n.g.r.jillings@se14.qmul.ac.uk}{\{b.deman,}}}
n@656 124 {\thirdauthor} {%Affiliation3\\ %
n@656 125 {\tt \href{mailto:d.j.moffat@qmul.ac.uk}{d.j.moffat, }}}
n@656 126 {\fourthauthor} {%Affiliation4\\ %
n@656 127 {\tt \href{mailto:joshua.reiss@qmul.ac.uk}{joshua.reiss\}@qmul.ac.uk}}}
n@656 128
n@656 129 % ***************************************** the document starts here ***************
n@656 130 \begin{document}
n@656 131 %
n@656 132 \capstartfalse
n@656 133 \maketitle
n@656 134 \capstarttrue
n@656 135 %
n@656 136 \begin{abstract}
BrechtDeMan@683 137 New functionality in HTML5, notably its Web Audio API, allow for increasingly powerful applications in the browser. % is this true?
BrechtDeMan@683 138 Perceptual evaluation tests for audio, where the subject assesses certain qualities of different audio fragments through a graphical user interface and/or text boxes, require playback of audio and rapid switching between different files. % what else?
BrechtDeMan@683 139 The advantage of a web application is easy deployment on any platform, without requiring any other application or library, easy storing of results on a server.
BrechtDeMan@683 140 [...]
BrechtDeMan@683 141 %Place your abstract at the top left column on the first page.
BrechtDeMan@683 142 %Please write about 150-200 words that specifically highlight the purpose of your work,
BrechtDeMan@683 143 %its context, and provide a brief synopsis of your results.
BrechtDeMan@683 144 %Avoid equations in this part.\\
BrechtDeMan@683 145
n@656 146 \end{abstract}
n@656 147 %
n@656 148
n@656 149 \section{Introduction}\label{sec:introduction}
BrechtDeMan@685 150
BrechtDeMan@683 151 TOTAL PAPER: Minimum 4 pages, 6 preferred, max. 8 (6 for demos/posters)\\
BrechtDeMan@683 152
BrechtDeMan@683 153 NICK: examples of what kind of audio applications HTML5 has made possible, with references to publications (or website)\\
n@656 154
n@656 155 background (types of research where this type of perceptual evaluation of audio is relevant)\\
n@656 156
BrechtDeMan@683 157 multiple stimulus perceptual evaluation \cite{bech}\\
n@656 158
n@656 159 prior work: \cite{deman2014b} in MATLAB, much less easy to deploy, and often stops working due to version updates \\
n@656 160
n@656 161 goal, what are we trying to do? \\
n@656 162
BrechtDeMan@683 163 other background papers (some SMC?)\\
BrechtDeMan@683 164
n@656 165 [Previously, due to limited functionality of HTML, ..., it was not possible to design this type of interfaces with such high quality audio... ]
n@656 166
n@656 167
BrechtDeMan@684 168 %\section{Design considerations}\label{sec:designconsiderations} % not necessary? with next (/previous) section?
n@656 169
n@656 170 We present a browser-based perceptual evaluation tool for audio that ... \\
n@656 171
n@656 172 see \cite{deman2014b}: requirements informed by research on music production (see my work and that of others' in the group), such as randomisation, playback of high quality audio, some degree of flexibility in terms of configuration, ... \\
n@656 173
n@656 174
n@656 175 \section{Implementation}\label{sec:implementation}
n@656 176 %[Nick???]
n@656 177
n@656 178 %section on overall architecture\\
n@656 179
n@656 180 %section with overview of the structure of the input and output files, perhaps with graph or table
n@656 181
BrechtDeMan@684 182 The tool runs entirely inside the browser through the new HTML5 Web Audio API. The API is supported by most major web browsers (with the exception of Internet Explorer) and allows for constructing a chain of audio processing elements to produce a high quality, real time signal process to manipulate audio streams. The API supports multi-channel processing and has an accurate playback timer for precise scheduled playback control. The Web Audio API is controlled through the browser JavaScript and is therefore highly controllable. The Web Audio API processing is all controlled in a separate thread to the main JavaScript thread, meaning there is no blocking due to real time processing.
BrechtDeMan@683 183
BrechtDeMan@683 184 \subsection{Interface}\label{sec:interface} %elsewhere?
BrechtDeMan@683 185
BrechtDeMan@684 186 At this point, we have implemented the interface of the MATLAB-based APE Perceptual Evaluation for Audio toolbox \cite{deman2014b}, which shows one marker for each simultaneously evaluated audio fragment on one or more horizontal axes (to rate/rank the respective fragments), as well as a comment box for every marker, and one extra text box for extra comments. See \ref{fig:interface} for an example of the interface, with 10 fragments and one axis. However, the back end of this test environment allows for many more established and novel interfaces for listening tests, particularly ones where the subject only assesses audio without manipulating it (i.e. method of adjustment, which would require additional features to be implemented).
BrechtDeMan@683 187
BrechtDeMan@683 188 \begin{figure*}[htbp]
BrechtDeMan@683 189 \begin{center}
BrechtDeMan@684 190 \includegraphics[width=0.9\textwidth]{interface.png}
BrechtDeMan@683 191 \caption{Example of interface, with 1 axis and 10 fragments}
BrechtDeMan@683 192 \label{fig:interface}
BrechtDeMan@683 193 \end{center}
BrechtDeMan@683 194 \end{figure*}
BrechtDeMan@683 195
BrechtDeMan@683 196
n@656 197
n@656 198 \subsection{Architecture}\label{sec:architecture}
n@656 199
n@656 200 The web tool itself is split into several files to operate:
n@656 201 \begin{itemize}
BrechtDeMan@684 202 \item \texttt{apeTool.html}: The main index file to load the scripts, this is the file the browser must request to load.
BrechtDeMan@684 203 \item \texttt{core.js}: Contains functions and objects to manage the audio control, audio objects for testing and loading of files.
BrechtDeMan@683 204 \item \texttt{ape.js}: Parses setup files to create the interface as instructed, following the same style chain as the MATLAB APE Tool \cite{deman2014b}.
n@656 205 \end{itemize}
n@656 206
BrechtDeMan@684 207 The HTML file loads the \texttt{core.js} file with it along with a few other ancillary files (such as the jQuery JavaScript extensions), at which point the browser JavaScript begins to execute the on-page instructions, which gives the URL of the test setup XML document (outlined in the next section). \texttt{core.js} parses this document and executes the function in \texttt{ape.js} to build the web page with the given audio files. The reason for separating these two files is to allow for further interface designs (such as MUSHRA \cite{mushra} or A-B tests \cite{bech}) to be used, which would still require the same underlying core functions outlined in \texttt{core.js}, see also Section \ref{sec:interface}.
n@656 208
BrechtDeMan@684 209 The \texttt{ape.js} file has only two main functions: \textit{loadInterface(xmlDoc)} and \textit{interfaceXMLSave()}. The first function is called to build the interface once the setup document has been loaded. This includes creating the slider interface to rate the tracks, and creating the comment boxes below it. The markers on the slider at the top of the page are positioned randomly, to minimise the bias that may be introduced when the initial positions are near the beginning, end or middle of the slider. While another approach is to place the markers outside of the slider bar at first and have the subject drag them in, the authors believe this doesn't encourage careful consideration and comparison of the different fragments as the implicit goal of the test becomes to audition and drag each fragment in just once, rather than to compare all fragments rigorously.
BrechtDeMan@684 210 \texttt{ape.js} also instructs the audio engine in \texttt{core.js} to create the audio objects. The audio objects are custom built audio nodes built on the Web Audio API. % 'built' twice?
BrechtDeMan@684 211 They consist of a \textit{bufferSourceNode} (a node which holds a buffer of audio samples for playback) and a \textit{gainNode}. These are then connected to the \textit{audioEngine} (itself a custom web audio node) containing a \textit{gainNode} (where the various Audio Objects connect to) for summation before passing the output to the \textit{destinationNode}, a fixed node created where %through which?
BrechtDeMan@684 212 the browser then passes the audio information to the system sound device.
BrechtDeMan@684 213 % audio object/audioObject/Audio Object: consistency?
n@656 214
BrechtDeMan@684 215 When an \textit{audioObject} is created, it is given the URL of the audio sample to load. This is downloaded into the browser asynchronously using the \textit{XMLHttpRequest} object. This allows for downloading of any file into the JavaScript environment for further processing. It is particularly useful for the Web Audio API because it supports downloading of files in their binary form, allowing a perfect copy. % don't quite understand this
BrechtDeMan@684 216 Once the asynchronous download is complete, the file is then decoded using the Web Audio API offline decoder. This uses the browser's %browser's? browser-available? available in the browser?
BrechtDeMan@684 217 available decoding schemes to decode the audio files into raw float32 arrays, which are in turn passed to the relevant audioObject \textit{bufferSourceNode} for playback.
n@656 218
BrechtDeMan@684 219 % GENERAL QUESTION: would it be hard to support more file types? If so, I think it's much nicer to say 'at the moment we allow ... and ... and ... files'
BrechtDeMan@684 220 Browsers support various audio file formats and are not consistent in any format. % 'not consistent in any format'? What do you mean exactly?
BrechtDeMan@684 221 However, all browsers support the WAV format. Although not a compact, web friendly format, most transport systems are of a high enough bandwidth this should not be a problem.
BrechtDeMan@684 222 However, one problem is that the browser uses the sample rate assigned by the system sound device, % is this problem particular to WAV? Seems that way from the text
BrechtDeMan@684 223 and does not have the ability to request a different one. Therefore, the default operation when an audio file is loaded with a different sample rate to that of the system is to convert the sample rate. To provide a check for this, the desired sample rate can be supplied with the setup XML and checked against. If the sample rates do not match, a browser alert window is shown asking for the sample rate to be correctly adjusted.
BrechtDeMan@684 224 As this happens before any loading or decoding of audio files, the system will only fetch files as soon as the system's sample rate meets any requirements, avoiding requests for large files until they are actually needed.
n@656 225
BrechtDeMan@683 226 During playback, the playback nodes loop indefinitely until playback is stopped. The gain nodes in the \textit{audioObject}s enable dynamic muting of nodes. When a bar in the sliding ranking is clicked, the audio engine mutes all \textit{audioObject}s and un-mutes the clicked one. Therefore, if the audio samples are perfectly aligned up and of the same sample length, they will remain perfectly aligned with each other.
BrechtDeMan@683 227
n@656 228
BrechtDeMan@684 229 \subsection{Setup and results formats}\label{sec:setupresultsformats}
n@656 230
BrechtDeMan@686 231 Setup and the results both use the common XML document format to outline the various parameters. The setup file contains all the information needed to initialise a test session. Several nodes can be defined to outline the audio samples to use, questions to be asked and any pre- or post-test questions or instructions. Having one document to modify allows for quick manipulation in a `human readable' form to create new tests, or adjust current ones, without needing to edit which web files. % 'which web files'?
n@656 232
BrechtDeMan@686 233 The results file is dynamically generated by the interface upon clicking the `Submit' button. This also executes checks, depending on the setup file, to ensure that all tracks have been played back, rated and commented on. The XML output returned contains a node per audioObject and contains both the corresponding marker's position and any comments written in the associated comment box. The rating returned is normalised to be a value between 0 and 1, normalising the pixel representation of different browser windows.
BrechtDeMan@683 234
BrechtDeMan@684 235 Pre- and post-test dialog boxes allow for comments or questions to be presented before or after the test, to convey listening test instructions, and gather information about the subject, listening environment, and overall experience of the test. These are automatically generated from the setup XML and allow nearly any form of question and comment to be included in a window on its own. Questions are stored and presented in the response section labelled `pretest' and `posttest', along with the question ID and its response, and can be made mandatory.
BrechtDeMan@684 236 Further options in the setup file are:
BrechtDeMan@684 237
BrechtDeMan@684 238 \begin{itemize}
BrechtDeMan@684 239 \item \textbf{Snap to corresponding position}: When this is enabled, and a fragment is playing, the playhead skips to the same position in the next fragment that is clicked. If it is not enabled, every fragment is played from the start.
BrechtDeMan@684 240 \item \textbf{Loop fragments}: Repeat current fragment when end is reached, until the `Stop audio' or `Submit' button is clicked.
BrechtDeMan@684 241 \item \textbf{Comments}: Displays a separate comment box for each fragment in the page.
BrechtDeMan@684 242 \item \textbf{General comment}: One comment box, additional to the individual comment boxes, to comment on the test or a feature that some or all of the fragments share.
BrechtDeMan@684 243 \item \textbf{Resampling}: When this is enabled, tracks are resampled to match the subject's system's sample rate (a default feature of the Web Audio API). When it is not, an error is shown when the system does not match the requested sample rate.
BrechtDeMan@684 244 \item \textbf{Randomise page order}: Randomises the order in which different `pages' are presented. % are we calling this 'pages'?
BrechtDeMan@684 245 \item \textbf{Randomise fragment order}: Randomises the order and numbering of the markers and comment boxes corresponding with the fragments. This permutation is stored as well, to be able to interpret references to the numbers in the comments (such as `this is much [brighter] then 4').
BrechtDeMan@684 246 \item \textbf{Require playback}: Require that each fragment has been played at least once, if not in full.
BrechtDeMan@684 247 \item \textbf{Require full playback}: If `Require playback' is active, require that each fragment has been played in full.
BrechtDeMan@684 248 \item \textbf{Require moving}: Require that each marker is moved (dragged) at least once.
BrechtDeMan@684 249 \item \textbf{Require comments}: This option allows requiring the subject to require a comment for each track.
BrechtDeMan@686 250 \item \textbf{Repeat test}: Number of times test should be repeated (none by default), to allow familiarisation with the content and experiment, and to investigate consistency of user and variability due to familiarity.
BrechtDeMan@684 251 % explanation on how this is implemented?
BrechtDeMan@684 252 \end{itemize}
BrechtDeMan@684 253
BrechtDeMan@684 254 When one of these options is not included in the setup file, they assume a default value.
BrechtDeMan@684 255
BrechtDeMan@683 256 % loop, snap to corresponding position, comments, 'general' comment, require same sampling rate, different types of randomisation
BrechtDeMan@683 257
BrechtDeMan@684 258
n@656 259
n@656 260 The results will also contain information collected by any defined pre/post questions. These are referenced against the setup XML by using the same ID as well as printing in the same question, so readable responses can be obtained. Future development will also evolve to include any session data, such as the browser the tool was used in, how long the test took and any other metrics. Currently the results files are downloaded on the user side of the browser as a .xml file to be manually returned. However the end goal is to allow the XML files to be submitted over the web to a receiving server to store them, allowing for automated collection.
n@656 261
BrechtDeMan@686 262 Furthermore, each user action (manipulation of any interface element, such as playback or moving a marker) is logged along with a the corresponding time code and stored or sent along with the results. % right?
BrechtDeMan@684 263
BrechtDeMan@684 264 %Here is an example of the setup XML and the results XML: % perhaps best to refer to each XML after each section (setup <> results)
BrechtDeMan@683 265 % Should we include an Example of the input and output XML structure?? --> Sure.
BrechtDeMan@683 266
BrechtDeMan@683 267 ADD XML STRUCTURE EXAMPLE
n@656 268
n@656 269
n@656 270 \section{Conclusions and future work}\label{sec:conclusions}
n@656 271
n@656 272 In this paper we have presented an approach to creating a browser-based listening test environment that can be used for a variety of types of perceptual evaluation of audio.
n@656 273 Specifically, we discussed the use of the toolbox in the context of assessment of preference for different production practices, with identical source material.
n@656 274 The purpose of this paper is to outline the design of this tool, to describe our implementation using basic HTML5 functionality, and to discuss design challenges and limitations of our approach. % or something
n@656 275
n@656 276 % future work
BrechtDeMan@683 277 Further work may include the development of other common test designs, such as MUSHRA \cite{mushra}, AB, ABX and method of adjustment tests.
BrechtDeMan@683 278 In addition, [...].
n@656 279
BrechtDeMan@683 280 %\begin{itemize}
BrechtDeMan@683 281 %\item Options for MUSHRA style experiment with vertical slide per track
BrechtDeMan@683 282 %\item APE style experiment where all tracks are on a single horizontal axis % isn't that what we're doing now?
BrechtDeMan@683 283 %\item AB test
BrechtDeMan@683 284 %\item ABX test
BrechtDeMan@683 285 %\item Method of adjustment tests
BrechtDeMan@683 286 %\end{itemize}
n@656 287
n@656 288
BrechtDeMan@686 289 The source code of this tool can be found on \url{code.soundsoftware.ac.uk/projects/webaudioevaluationtool}. The repository includes an issue tracker, where bug reports and feature requests can inform further development.
n@656 290
n@656 291
n@656 292 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
n@656 293 %bibliography here
n@656 294 \bibliography{smc2015template}
n@656 295
n@656 296
n@656 297
n@656 298 \end{document}
n@656 299
n@656 300
n@656 301
n@656 302 % RUBBISH
n@656 303
n@656 304 %\subsection{Equations}
n@656 305 %Equations of importance,
n@656 306 %or to which you refer later,
n@656 307 %should be placed on separated lines and numbered.
n@656 308 %The number should be on the right side, in parentheses.
n@656 309 %\begin{equation}
n@656 310 %E=mc^{2+\delta}.
n@656 311 %\label{eq:Emc2}
n@656 312 %\end{equation}
n@656 313 %Refer to equations like so:
n@656 314 %As (\ref{eq:Emc2}) shows,
n@656 315 %I do not completely trust Special Relativity.
n@656 316 %
n@656 317 %\subsection{Figures, Tables and Captions}
n@656 318 %\begin{table}[t]
n@656 319 % \begin{center}
n@656 320 % \begin{tabular}{|l|l|}
n@656 321 % \hline
n@656 322 % String value & Numeric value \\
n@656 323 % \hline
n@656 324 % Hej SMC & 2015 \\
n@656 325 % \hline
n@656 326 % \end{tabular}
n@656 327 %\end{center}
n@656 328 % \caption{Table captions should be placed below the table, exactly like this,
n@656 329 % but using words different from these.}
n@656 330 % \label{tab:example}
n@656 331 %\end{table}
n@656 332
n@656 333 %\begin{figure}[t]
n@656 334 %\figbox{
n@656 335 %\subfloat[][]{\includegraphics[width=60mm]{figure}\label{fig:subfigex_a}}\\
n@656 336 %\subfloat[][]{\includegraphics[width=80mm]{figure}\label{fig:subfigex_b}}
n@656 337 %}
n@656 338 %\caption{Here's an example using the subfig package.\label{fig:subfigex} }
n@656 339 %\end{figure}
n@656 340
n@656 341
n@656 342
n@656 343
n@656 344
n@656 345 %\begin{acknowledgments}
n@656 346 %You may acknowledge people, projects,
n@656 347 %funding agencies, etc.
n@656 348 %which can be included after the second-level heading
n@656 349 %``Acknowledgments'' (with no numbering).
n@656 350 %\end{acknowledgments}
n@656 351