\batchmode \documentclass[a4paper,twoside]{article} \usepackage{html} \usepackage{amsmath} % \renewcommand{\d}{\partial}% \providecommand{\bm}[1]{\mathbf{#1}}% \providecommand{\Range}{\mathcal{R}}% \providecommand{\Ker}{\mathcal{N}}% \providecommand{\Quat}{\vec{\mathbf{Q}}} % \providecommand{\StAndrews}{\htmlurl{http://www-groups.dcs.st-and.ac.uk/~history}}%% \providecommand{\Pythagorians}{\htmladdnormallink {Pythagorians}{\htmlurl{http://www-groups.dcs.st-and.ac.uk/~history}/Mathematicians/Pythagoras.html}}% \providecommand{\Fermat}{\htmladdnormallink {Fermat, c.1637}{\htmlurl{http://www-groups.dcs.st-and.ac.uk/~history}/HistTopics/Fermat's_last_theorem.html}}% \providecommand{\Wiles}{\htmladdnormallink {Wiles, 1995}{\htmlurl{http://www.pbs.org:80/wgbh/nova/proof}}} \usepackage[dvips]{color} \pagecolor[gray]{.7} \makeatletter \makeatletter \count@=\the\catcode`\_ \catcode`\_=8 \newenvironment{tex2html_wrap}{}{} \catcode`\_=\count@ 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\providecommand{\Omicron}{\textrm{O}} \providecommand{\omicron}{\textrm{o}} \providecommand{\Rho}{\textrm{R}} \providecommand{\Tau}{\textrm{T}} \providecommand{\Epsilon}{\textrm{E}} \providecommand{\Eta}{\textrm{H}} \providecommand{\Beta}{\textrm{B}} \providecommand{\Iota}{\textrm{J}} \providecommand{\Kappa}{\textrm{K}} \begin{document} \pagestyle{empty}\thispagestyle{empty}\lthtmltypeout{}% \lthtmltypeout{latex2htmlLength hsize=\the\hsize}\lthtmltypeout{}% \lthtmltypeout{latex2htmlLength vsize=\the\vsize}\lthtmltypeout{}% \lthtmltypeout{latex2htmlLength hoffset=\the\hoffset}\lthtmltypeout{}% \lthtmltypeout{latex2htmlLength voffset=\the\voffset}\lthtmltypeout{}% \lthtmltypeout{latex2htmlLength topmargin=\the\topmargin}\lthtmltypeout{}% \lthtmltypeout{latex2htmlLength topskip=\the\topskip}\lthtmltypeout{}% \lthtmltypeout{latex2htmlLength headheight=\the\headheight}\lthtmltypeout{}% \lthtmltypeout{latex2htmlLength headsep=\the\headsep}\lthtmltypeout{}% \lthtmltypeout{latex2htmlLength parskip=\the\parskip}\lthtmltypeout{}% \lthtmltypeout{latex2htmlLength oddsidemargin=\the\oddsidemargin}\lthtmltypeout{}% \makeatletter \if@twoside\lthtmltypeout{latex2htmlLength evensidemargin=\the\evensidemargin}% \else\lthtmltypeout{latex2htmlLength evensidemargin=\the\oddsidemargin}\fi% \lthtmltypeout{}% \makeatother \setcounter{page}{1} \onecolumn % !!! IMAGES START HERE !!! {\newpage\clearpage \lthtmlinlinemathA{tex2html_wrap_indisplay250}% $\displaystyle \phi(\lambda)$% \lthtmlindisplaymathZ \lthtmlcheckvsize\clearpage} {\newpage\clearpage \lthtmlinlinemathA{tex2html_wrap_indisplay252}% $\displaystyle =$% \lthtmlindisplaymathZ \lthtmlcheckvsize\clearpage} {\newpage\clearpage \lthtmlinlinemathA{tex2html_wrap_indisplay254}% $\displaystyle \frac{1} {2 \pi i}\int^{c+i\infty}_{c-i\infty} \exp \left( u \ln u + \lambda u \right ) du$% \lthtmlindisplaymathZ \lthtmlcheckvsize\clearpage} {\newpage\clearpage \lthtmlinlinemathA{tex2html_wrap_indisplay255}% $\displaystyle c \geq 0$% \lthtmlindisplaymathZ \lthtmlcheckvsize\clearpage} {\newpage\clearpage \lthtmlinlinemathA{tex2html_wrap_indisplay257}% $\displaystyle \lambda$% \lthtmlindisplaymathZ \lthtmlcheckvsize\clearpage} {\newpage\clearpage \lthtmlinlinemathA{tex2html_wrap_indisplay261}% $\displaystyle \frac{\epsilon -\bar{\epsilon} }{\xi} - \gamma' - \beta^2 - \ln \frac{\xi} {E_{\rm max}}$% \lthtmlindisplaymathZ \lthtmlcheckvsize\clearpage} {\newpage\clearpage \lthtmlinlinemathA{tex2html_wrap_indisplay263}% $\displaystyle \gamma$% \lthtmlindisplaymathZ \lthtmlcheckvsize\clearpage} {\newpage\clearpage \lthtmlinlinemathA{tex2html_wrap_indisplay267}% $\displaystyle 0.577215\dots \mathrm{\hspace{5mm}(Euler's\ constant)}$% \lthtmlindisplaymathZ \lthtmlcheckvsize\clearpage} {\newpage\clearpage \lthtmlinlinemathA{tex2html_wrap_indisplay269}% $\displaystyle \gamma'$% \lthtmlindisplaymathZ \lthtmlcheckvsize\clearpage} {\newpage\clearpage \lthtmlinlinemathA{tex2html_wrap_indisplay273}% $\displaystyle 0.422784\dots = 1 - \gamma$% \lthtmlindisplaymathZ \lthtmlcheckvsize\clearpage} {\newpage\clearpage \lthtmlinlinemathA{tex2html_wrap_indisplay275}% $\displaystyle \epsilon , \bar{\epsilon}$% \lthtmlindisplaymathZ \lthtmlcheckvsize\clearpage} {\newpage\clearpage \lthtmlinlinemathA{tex2html_wrap_inline280}% $ \delta\mathbf{c}$% \lthtmlinlinemathZ \lthtmlcheckvsize\clearpage} {\newpage\clearpage \lthtmlinlinemathA{tex2html_wrap_inline282}% $ \mathcal{N}(A) = \mathcal{R}(B)$% \lthtmlinlinemathZ \lthtmlcheckvsize\clearpage} {\newpage\clearpage \lthtmlinlinemathA{tex2html_wrap_inline284}% $ y=B(x)$% \lthtmlinlinemathZ \lthtmlcheckvsize\clearpage} {\newpage\clearpage \lthtmlinlinemathA{tex2html_wrap_inline286}% $ a^2+b^2=c^2$% \lthtmlinlinemathZ \lthtmlcheckvsize\clearpage} {\newpage\clearpage \lthtmlinlinemathA{tex2html_wrap_inline288}% $ a^n+b^n=c^n$% \lthtmlinlinemathZ \lthtmlcheckvsize\clearpage} {\newpage\clearpage \lthtmlinlinemathA{tex2html_wrap_inline290}% $ n>2$% \lthtmlinlinemathZ \lthtmlcheckvsize\clearpage} {\newpage\clearpage \lthtmlinlinemathA{tex2html_wrap_indisplay293}% $\displaystyle V \mathbf{\pi}^{sr}$% \lthtmlindisplaymathZ \lthtmlcheckvsize\clearpage} {\newpage\clearpage \lthtmlinlinemathA{tex2html_wrap_indisplay297}% $\displaystyle \left< \sum_i M_i \mathbf{V}_i \mathbf{V}_i + \sum_i \sum_{j>i} \mathbf{R}_{ij} \mathbf{F}_{ij}\right>$% \lthtmlindisplaymathZ \lthtmlcheckvsize\clearpage} {\newpage\clearpage \lthtmlinlinemathA{tex2html_wrap_indisplay301}% $\displaystyle \left< \sum_i M_i \mathbf{V}_i \mathbf{V}_i + \sum_{i}\sum_{j>i}\sum_\alpha\sum_\beta \mathbf{r}_{i\alpha j\beta}\mathbf{f}_{i\alpha j\beta} - \sum_i \sum_\alpha \mathbf{p}_{i\alpha} \mathbf{f}_{i\alpha} \right>$% \lthtmlindisplaymathZ \lthtmlcheckvsize\clearpage} {\newpage\clearpage \lthtmldisplayA{subequations303}% \setcounter{equation}{6} \begin{subequations}\begin{align} B_{ij}^\alpha & = \left(B_{ij}^\alpha\right)_0 + \left(B_{ij}^\alpha\right)_a\\ \left(B_{ij}^\alpha\right)_0 & = \frac{1}{2}\left(\frac{\d N_i^\alpha}{\d X_j} + \frac{\d N_j^\alpha} {\d X_i} \right)\\ \left(B_{ij}^\alpha\right)_a & = H_{ij}^{\alpha \beta} a^\beta\\ H_{ij}^{\alpha \beta} & = \frac{1}{2}\left( \frac{\d N_k^\alpha}{\d X_i} \frac{\d N_k^\beta}{\d X_j} + \frac{\d N_k^\beta}{\d X_i} \frac{\d N_k^\alpha}{\d X_j} \right)\end{align}\end{subequations}% \lthtmldisplayZ \lthtmlcheckvsize\clearpage} \end{document}