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	<title>Real-Time Physics Simulation Forum</title>
	
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	<updated>2013-01-27T11:37:25+00:00</updated>

	<author><name><![CDATA[Real-Time Physics Simulation Forum]]></name></author>
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		<entry>
		<author><name><![CDATA[ville]]></name></author>
		<updated>2013-01-27T11:37:25+00:00</updated>

		<published>2013-01-27T11:37:25+00:00</published>
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		<title type="html"><![CDATA[Re: iterative dynamics with temporal coherence clarification]]></title>

		
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I have received a reply from Erin Catto and have permission to post it here for others' benefit:<br><br>"<br>1) Right, they are both dot products. JV doesn't need the dot because you can view J as a row vector and V as a column vector, whereas J and B are both row vectors.<br><br>2) That is a typo, eta is s-by-1.<br><br>3) They are s-by-1 with scalar elements, one for each scalar constraint.<br>"<br><br><br>// ville<p>Statistics: Posted by <a href="https://pybullet.org/Bullet/phpBB3/memberlist.php?mode=viewprofile&amp;u=6414">ville</a> — Sun Jan 27, 2013 11:37 am</p><hr />
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		<entry>
		<author><name><![CDATA[ville]]></name></author>
		<updated>2013-01-19T21:15:34+00:00</updated>

		<published>2013-01-19T21:15:34+00:00</published>
		<id>https://pybullet.org/Bullet/phpBB3/viewtopic.php?p=29733#p29733</id>
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		<title type="html"><![CDATA[iterative dynamics with temporal coherence clarifications?]]></title>

		
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Howdy,<br><br>Trying to follow along "iterative dynamics with temporal coherence, catto 2005" and I've some parts that need clarification:<br><br>1) Algorithm 1 on page 7 has: J_sp(i, 1)V(b_1) and Algorithm 4 on page 17 has: J_sp(i, 1) * B(1, i)<br>Presumably both are dot products between 6-vectors or does the dot, represented by * above, on page 17 signify some different operation?<br><br>2) Looking at equation (35) on page 14:<br>    \eta = (\zeta / \delta t) - J((V1 / \delta t) + M^-1 * F_ext)<br>It would seem eta is an s-by-1 matrix? F_ext is 6n-by-1, M^-1 is 6n-by-6n, V1 is 6n-by-1, J is s-by-6n and \zeta is s-by-1? On page 16 it however states that elements of \eta are 6-vectors and I am not sure where does that follow?<br><br>3) What about \zeta, \lambda, C and C'? As far as I can tell the are s-by-1 matrices but what is their element type; 6-vector or real?<br><br><br>// ville<p>Statistics: Posted by <a href="https://pybullet.org/Bullet/phpBB3/memberlist.php?mode=viewprofile&amp;u=6414">ville</a> — Sat Jan 19, 2013 9:15 pm</p><hr />
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