4400impuls.fodt

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}
right)
#
{bold nitalic 0} #
{bold nitalic 0} #
left(
stack
{
sum
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right]_fric
{partial {bold nitalic P}_fric}
over
{partial {bold nitalic bar %lambda}}
#
+
{
{partial {bold nitalic bar G}^T}
over
{partial {bold nitalic dot q}}
}
}
right) #
left(
stack
{
sum
left[
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right]_fric
{partial {bold nitalic P}_fric}
over
{partial {bold nitalic %lambda}}
#
+
{
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over
{partial {bold nitalic q}}
}
} 
right)##
{bold nitalic 0} #
{bold nitalic 0} #
{bold nitalic 0} #
{partial {bold nitalic bar G}^T}
over
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{partial {bold nitalic G}^T}
over
{partial {bold nitalic s}} ##
{bold nitalic 0} #
{bold nitalic 0} #
{bold nitalic 0} #
{partial {bold nitalic bar G}^T}
over
{partial {bold nitalic dot u}}#
{partial {bold nitalic G}^T}
over
{partial {bold nitalic u}} ##
{partial {bold nitalic bar G}}
over
{partial {bold nitalic dot q}}#
{partial {bold nitalic bar G}}
over
{partial {bold nitalic dot s}}#
{partial {bold nitalic bar G}}
over
{partial {bold nitalic dot u}}#
{bold nitalic 0} #
{bold nitalic 0}##
{partial {bold nitalic G}}
over
{partial {bold nitalic q}} #
{partial {bold nitalic G}}
over
{partial {bold nitalic s}} #
{partial {bold nitalic G}}
over
{partial {bold nitalic u}} #
{bold nitalic 0} #
{bold nitalic 0}

}
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left lbrace
matrix
{
{bold nitalic dot q}^&apos; ##
{bold nitalic dot s}^&apos; ##
{bold nitalic dot u}^&apos; ##
{bold nitalic P}^&apos;_bar %lambda ##
{bold nitalic P}^&apos;_%lambda
}
right rbrace

newline
&quot;&quot;~~~~~~~~~
=
-
left lbrace
matrix
{
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{bold nitalic 0}##
{bold nitalic 0}##
{bold nitalic 0}##
{bold nitalic 0}
}
right rbrace
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   <text:p text:style-name="equation">Integrate for</text:p>
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    </draw:frame>as functions of<draw:frame draw:style-name="fr1" draw:name="Object14" text:anchor-type="as-char" svg:width="0.4583in" svg:height="0.2138in" draw:z-index="32"><draw:object>
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   <text:p text:style-name="equation">Initial Conditions</text:p>
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   <text:h text:style-name="Heading_20_2" text:outline-level="2">Backward Difference Integration</text:h>
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   <text:h text:style-name="Heading_20_1" text:outline-level="1">F equations</text:h>
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