\batchmode \documentclass[10pt]{article} \makeatletter \usepackage[dvips,dvipsnames]{color} \usepackage{latexsym} \usepackage{wasysym} \let\wasyiint\iint \let\wasyiiint\iiint \let\iint\relax \let\iiint\relax \usepackage{amssymb} \usepackage{amsbsy} \usepackage{amsmath} \usepackage{amsfonts} \usepackage{amsthm} \usepackage[mathscr]{eucal} \usepackage[dvips]{graphics} \usepackage{psfrag} \usepackage{html,htmllist,makeidx,longtable} \advance\hoffset by -20mm \setlength{\topmargin}{1.0cm} \numberwithin{equation}{section} \setlength{\textwidth}{165mm} \providecommand{\squareroot}{\sqrt{1+i \bar \omega/{(k^2\nu)}}} \providecommand{\Real}{\mbox{Re}} \providecommand{\Imag}{\mbox{Im}} \providecommand{\hatb}{\hat b} \providecommand{\hatR}{\hat R} \providecommand{\hatphi}{\hat \phi} \providecommand{\hatpsi}{\hat \psi} \providecommand{\hatzeta}{\hat \zeta} \providecommand{\hatx}{\hat x} \providecommand{\haty}{\hat y} \providecommand{\hatr}{\hat r} \providecommand{\hattheta}{\hat theta} \providecommand{\hatz}{\hat z} \providecommand{\bB}{\vec{B}} \providecommand{\btu}{\vec{\tilde {\bf u}}} \providecommand{\bu}{\vec{u}} \providecommand{\bs}{\boldsymbol} \providecommand{\csch}{\mbox{ cosech}} \providecommand{\cross}{\mathbf{\times}} \providecommand{\dd}{\partial} \providecommand{\deriv}[2]{ \ensuremath {\frac{d #1}{d #2}} } \providecommand{\derivp}[2]{ \ensuremath {\frac {\partial #1}{\partial #2}} } \providecommand{\definedas}{\equiv} \providecommand{\eps}{\epsilon} \providecommand{\half}{\frac{1}{2}} \providecommand{\third}{\frac{1}{3}} \providecommand{\fourth}{\frac{1}{4}} \providecommand{\fifth}{\frac{1}{5}} \providecommand{\sixth}{\frac{1}{6}} \providecommand{\seventh}{\frac{1}{7}} \providecommand{\eighth}{\frac{1}{8}} \providecommand{\ninth}{\frac{1}{9}} \providecommand{\tenth}{\frac{1}{10}} \providecommand{\lam}{\ensuremath{\lambda} } \providecommand{\nab}{\mathbf{\nabla}} \providecommand{\sech}{\mbox{ sech}} \providecommand{\sign}{\mbox{sign}} \providecommand{\n}{\rho} \providecommand{\np}{\rho_+} \providecommand{\nm}{\rho_-} \providecommand{\tchi}{\tilde \chi} \providecommand{\tf}{\tilde f} \providecommand{\tu}{\tilde {\bf u}} \providecommand{\tn}{\tilde \rho} \providecommand{\tp}{\tilde p} \providecommand{\tphi}{\tilde \phi} \providecommand{\tpsi}{\tilde \psi} \providecommand{\trho}{\tilde \rho} \providecommand{\bkap}{\vec \kappa} \providecommand{\bn}{\tilde{\bar n}} \providecommand{\bphi}{\tilde{\bar \phi}} \providecommand{\bpsi}{\tilde{\bar \psi}} \providecommand{\wbar}{\bar \omega} \providecommand{\sig}{\sigma} \providecommand{\viz}{\emph{viz. }} \providecommand{\w}{\omega} \providecommand{\W}{\Omega} \providecommand{\kunit}{\left(\frac{\rho_-}{\rho_+} \frac{g}{\nu^2}\right)^{1/3}} \providecommand{\gammaunit}{\left(\frac{\rho_-^2}{\rho_+^2} \frac{g^2}{\nu}\right)^{1/3} } \providecommand{\shearunit}{\left(\frac{\rho_+}{\rho_-} \frac{g^2}{\nu}\right)^{1/3}} \providecommand{\nmnp}{\frac{\rho_-}{\rho_+}} \providecommand{\npnm}{\frac{\rho_+}{\rho_-}} \providecommand{\npbnmb}{\frac{\rho_+^2}{\rho_-^2}} \providecommand{\cm}{\mbox{cm}} \providecommand{\rps}{\mbox{revs}/\mbox{s}} \providecommand{\second}{\mbox{s}} \par\pagecolor[gray]{.7} \makeatletter \count@=\the\catcode`\_ \catcode`\_=8 \newenvironment{tex2html_wrap}{}{} \catcode`\_=\count@ \makeatother \ifx\AtBeginDocument\undefined \newcommand{\AtBeginDocument}[1]{}\fi \newbox\sizebox \setlength{\hoffset}{0pt}\setlength{\voffset}{0pt} \addtolength{\textheight}{\footskip}\setlength{\footskip}{0pt} \addtolength{\textheight}{\topmargin}\setlength{\topmargin}{0pt} \addtolength{\textheight}{\headheight}\setlength{\headheight}{0pt} \addtolength{\textheight}{\headsep}\setlength{\headsep}{0pt} \setlength{\textwidth}{349pt} \newwrite\lthtmlwrite \makeatletter \let\realnormalsize=\normalsize \global\topskip=2sp \def\preveqno{}\let\real@float=\@float \let\realend@float=\end@float \def\@float{\let\@savefreelist\@freelist\real@float} \def\end@float{\realend@float\global\let\@freelist\@savefreelist} \let\real@dbflt=\@dbflt \let\end@dblfloat=\end@float \let\@largefloatcheck=\relax \def\@dbflt{\let\@savefreelist\@freelist\real@dbflt} \def\adjustnormalsize{\def\normalsize{\mathsurround=0pt \realnormalsize \parindent=0pt\abovedisplayskip=0pt\belowdisplayskip=0pt}\normalsize}% \def\lthtmltypeout#1{{\let\protect\string\immediate\write\lthtmlwrite{#1}}}% \newcommand\lthtmlhboxmathA{\adjustnormalsize\setbox\sizebox=\hbox\bgroup}% \newcommand\lthtmlvboxmathA{\adjustnormalsize\setbox\sizebox=\vbox\bgroup% \let\ifinner=\iffalse }% \newcommand\lthtmlboxmathZ{\@next\next\@currlist{}{\def\next{\voidb@x}}% \expandafter\box\next\egroup}% \newcommand\lthtmlmathtype[1]{\def\lthtmlmathenv{#1}}% \newcommand\lthtmllogmath{\lthtmltypeout{l2hSize % :\lthtmlmathenv:\the\ht\sizebox::\the\dp\sizebox::\the\wd\sizebox.\preveqno}}% \newcommand\lthtmlfigureA[1]{\let\@savefreelist\@freelist \lthtmlmathtype{#1}\lthtmlvboxmathA}% \newcommand\lthtmlfigureZ{\lthtmlboxmathZ\lthtmllogmath\copy\sizebox \global\let\@freelist\@savefreelist}% \newcommand\lthtmldisplayA[1]{\lthtmlmathtype{#1}\lthtmlvboxmathA}% \newcommand\lthtmldisplayB[1]{\edef\preveqno{(\theequation)}% \lthtmldisplayA{#1}\let\@eqnnum\relax}% \newcommand\lthtmldisplayZ{\lthtmlboxmathZ\lthtmllogmath\lthtmlsetmath}% \newcommand\lthtmlinlinemathA[1]{\lthtmlmathtype{#1}\lthtmlhboxmathA \vrule height1.5ex width0pt }% \newcommand\lthtmlinlineA[1]{\lthtmlmathtype{#1}\lthtmlhboxmathA}% \newcommand\lthtmlinlineZ{\egroup\expandafter\ifdim\dp\sizebox>0pt % \expandafter\centerinlinemath\fi\lthtmllogmath\lthtmlsetinline} \newcommand\lthtmlinlinemathZ{\egroup\expandafter\ifdim\dp\sizebox>0pt % \expandafter\centerinlinemath\fi\lthtmllogmath\lthtmlsetmath} \def\lthtmlsetinline{\hbox{\vrule width.1em\vtop{\vbox{% \kern.1em\copy\sizebox}\ifdim\dp\sizebox>0pt\kern.1em\else\kern.3pt\fi \ifdim\hsize>\wd\sizebox \hrule depth1pt\fi}}} \def\lthtmlsetmath{\hbox{\vrule width.1em\setbox1=\vtop{\vbox{% \kern.1em\kern0.8 pt\hbox{\hglue.17em\copy\sizebox\hglue0.8 pt}}\kern.3pt% \ifdim\dp\sizebox>0pt\kern.1em\fi \kern0.8 pt% \ifdim\hsize>\wd\sizebox \hrule depth1pt\fi}\message{ht\the\ht1: dp\the\dp1}\box1}} \def\centerinlinemath{%\dimen1=\ht\sizebox \dimen1=\ifdim\ht\sizebox<\dp\sizebox \dp\sizebox\else\ht\sizebox\fi \advance\dimen1by.5pt \vrule width0pt height\dimen1 depth\dimen1 \dp\sizebox=\dimen1\ht\sizebox=\dimen1\relax} \def\lthtmlcheckvsize{\ifdim\ht\sizebox<\vsize\expandafter\vfill \else\expandafter\vss\fi}% \makeatletter \tracingstats = 1 \begin{document} \pagestyle{empty}\thispagestyle{empty}% \lthtmltypeout{latex2htmlLength hsize=\the\hsize}% \lthtmltypeout{latex2htmlLength vsize=\the\vsize}% \lthtmltypeout{latex2htmlLength hoffset=\the\hoffset}% \lthtmltypeout{latex2htmlLength voffset=\the\voffset}% \lthtmltypeout{latex2htmlLength topmargin=\the\topmargin}% \lthtmltypeout{latex2htmlLength topskip=\the\topskip}% \lthtmltypeout{latex2htmlLength headheight=\the\headheight}% \lthtmltypeout{latex2htmlLength headsep=\the\headsep}% \lthtmltypeout{latex2htmlLength parskip=\the\parskip}% \lthtmltypeout{latex2htmlLength oddsidemargin=\the\oddsidemargin}% \makeatletter \if@twoside\lthtmltypeout{latex2htmlLength evensidemargin=\the\evensidemargin}% \else\lthtmltypeout{latex2htmlLength evensidemargin=\the\oddsidemargin}\fi% \makeatother \stepcounter{section} \stepcounter{section} \stepcounter{section} {\newpage\clearpage \lthtmlinlinemathA{tex2html_wrap_inline190}% $\mbox{$\bullet$}$% \lthtmlinlinemathZ \hfill\lthtmlcheckvsize\clearpage} \end{document}