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\usepackage{wsh}




\usepackage{xcolor}

\usepackage[]{inputenc}



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\makeatletter
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\def\preveqno{}\let\real@float=\@float \let\realend@float=\end@float
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\def\lthtmltypeout#1{{\let\protect\string \immediate\write\lthtmlwrite{#1}}}%
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% !!! IMAGES START HERE !!!

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$i$%
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{\newpage\clearpage
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$j$%
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{\newpage\clearpage
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$m$%
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$\{m,i,j\}$%
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{\newpage\clearpage
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$t$%
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{\newpage\clearpage
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$c_{ij}^m(t)$%
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{\newpage\clearpage
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$\displaystyle c_{ij}^m(t)$%
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{\newpage\clearpage
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$\textstyle =$%
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{\newpage\clearpage
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{\newpage\clearpage
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{\newpage\clearpage
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$\displaystyle d_i^m(t) \star d_j^m(t)$%
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{\newpage\clearpage
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$\displaystyle d_i^m(-t) \ast d_j^m(t) .$%
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{\newpage\clearpage
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$\star$%
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{\newpage\clearpage
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$\ast$%
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$w_i (t)$%
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{\newpage\clearpage
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$r^m (t)$%
\lthtmlindisplaymathZ
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{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline87}%
$n_i^m (t)$%
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{\newpage\clearpage
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$\displaystyle d_i^m(t)$%
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{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_indisplay262}%
$\displaystyle \int r^m(t-\tau) w_i(\tau) d \tau + n_i^m(t)$%
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{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_indisplay264}%
$\displaystyle r^m(t) \ast w_i(t) + n_i^m(t) .$%
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{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_indisplay266}%
$\displaystyle r^m(t) \star r^m(t) = R^m \delta(t) ,$%
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{\newpage\clearpage
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$R^m$%
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$\delta (t)$%
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{\newpage\clearpage
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$\displaystyle n_i^m(t) \star n_i^m(t)$%
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{\newpage\clearpage
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$\textstyle \equiv$%
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{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_indisplay273}%
$\displaystyle N (t).$%
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{\newpage\clearpage
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$\displaystyle n_i^m(t) \star n_j^m(t)$%
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$\displaystyle 0, \ \forall i \neq j .$%
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$\displaystyle n_i^m(t) \star w_j(t)$%
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$\displaystyle 0, \ \forall i,j .$%
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$\displaystyle [r^m(t) \ast w_i(t) + n_i^m(t)] \star
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{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_indisplay290}%
$\displaystyle [r^m(-t) \ast w_i(-t) + n_i^m(-t)] \ast
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{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_indisplay292}%
$\displaystyle [r^m(-t) \ast w_i(-t) \ast r^m(t) \ast w_j(t) ] +
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$\displaystyle [r^m(t) \star r^m(t)] \ast [w_i(t)\star w_j(t) ] +
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{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_indisplay296}%
$\displaystyle R^m [ w_i(t) \star w_j(t) ] + \delta_{i-j} N (t).$%
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{\newpage\clearpage
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$i \ne j$%
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{\newpage\clearpage
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$\delta_{i-j}$%
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\stepcounter{section}
{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_indisplay303}%
$\displaystyle \min_ {w_i(t), R^m }
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{\newpage\clearpage
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$\epsilon$%
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{\newpage\clearpage
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$\Delta c_{ij}^m(t)$%
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{\newpage\clearpage
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$\Delta w_i(t)$%
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{\newpage\clearpage
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{\newpage\clearpage
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{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_indisplay314}%
$\textstyle -$%
\lthtmlindisplaymathZ
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{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_indisplay315}%
$\displaystyle R^m [ w_i(t)  \star w_j(t) ]$%
\lthtmlindisplaymathZ
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{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_indisplay316}%
$\textstyle \approx$%
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{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_indisplay317}%
$\displaystyle R^m [ w_i(t) \star \Delta w_j(t) + \Delta w_i(t) \star w_j(t) ] .$%
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\stepcounter{section}

\end{document}
