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% !!! IMAGES START HERE !!!

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%
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%
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%
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%
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%
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%
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%
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%
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%
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$F$%
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$\displaystyle [ \stensor{\nabla} \svector{f}^n ( \svector{x}^{m,n-1} )]^{*} 
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$\displaystyle ( \stensor{G}^{m,n} )^{*} \cdot \delta {\svector{x}}^{m,N} .$%
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$\Delta W_{ij}^n 
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$\alpha$%
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$\stensor{W}^n + \alpha \Delta \stensor{W}^n$%
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{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline449}%
$\sum_{m,k} \, [ p_k^m - \alpha \Delta x_k^{m,N} ]^2$%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline451}%
$\alpha = (\sum_{m,k} \, p_k^m \Delta x_k^{m,N} ) / 
	\sum_{m,k} \Delta x_k^{m,N} \Delta x_k^{m,N}  ) .$%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline459}%
$\{\stensor{w}^1,\ldots,\stensor{w}^N\}$%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline461}%
$\sum_{m,k} \, [ p_k^m - x_k^{m,N} ( \svector{d}^m , \stensor{W}^1,\ldots,\stensor{W}^N) 
	- \sum_{n,i,j} G_{kij}^{m,n} w_{ij}^n ]^2$%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline465}%
$\stensor{W}^n + \stensor{w}^n$%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline467}%
$\stensor{w}^n$%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}


\end{document}