<div dir="ltr"><div class="gmail_extra"><div class="gmail_quote">On Wed, Oct 11, 2017 at 10:55 AM, Patrick Sanan <span dir="ltr"><<a href="mailto:patrick.sanan@gmail.com" target="_blank">patrick.sanan@gmail.com</a>></span> wrote:<br><blockquote class="gmail_quote" style="margin:0 0 0 .8ex;border-left:1px #ccc solid;padding-left:1ex"><div dir="ltr"><div class="gmail_extra"><div class="gmail_quote">On Wed, Oct 11, 2017 at 10:58 AM, Matthew Knepley <span dir="ltr"><<a href="mailto:knepley@gmail.com" target="_blank">knepley@gmail.com</a>></span> wrote:<br><blockquote class="gmail_quote" style="margin:0 0 0 .8ex;border-left:1px #ccc solid;padding-left:1ex"><div dir="ltr"><div class="gmail_extra"><div class="gmail_quote"><span>On Wed, Oct 11, 2017 at 4:54 AM, Patrick Sanan <span dir="ltr"><<a href="mailto:patrick.sanan@gmail.com" target="_blank">patrick.sanan@gmail.com</a>></span> wrote:<br><blockquote class="gmail_quote" style="margin:0 0 0 .8ex;border-left:1px #ccc solid;padding-left:1ex"><div dir="ltr"><div>Another terminology question to help with the docs.<br><br>What's the origin of the term "chart" in DMPlex? I'm only previously familiar with the term in the context of manifolds (where chart = homeomorphism from an open set in the manifold to an open set in R^n). <br></div></div></blockquote><div><br></div></span><div>That is what it is supposed to be. A chart is coordinates on a patch of the manifold. We intend the same thing here in that you can</div><div>locally refer to points with a given name, but they may have a different name on another chart (process). The names are matched up using the PetscSF.</div></div></div></div></blockquote><div><br></div><div>So do you mean that you think of the DMPlex (thought of just as a set of points) as some kind of a "manifold over the integers"</div></div></div></div></blockquote><div><br></div><div>I don't think it helps to say "integers" since we do not use any arithmetic property, but we do have a graph representing a manifold, where</div><div>the chart should really be the full topology, but we use [s, e) for a shorthand, and the transition map is indeed the SF since that allows us</div><div>to piece together the topologies to form a global topology.</div><div><br></div><div> Thanks,</div><div><br></div><div> Matt</div><div> </div><blockquote class="gmail_quote" style="margin:0 0 0 .8ex;border-left:1px #ccc solid;padding-left:1ex"><div dir="ltr"><div class="gmail_extra"><div class="gmail_quote"><div> and consider an "atlas" with one patch per proc, with the SF defining the "transition maps"?<br></div><div><br></div><blockquote class="gmail_quote" style="margin:0 0 0 .8ex;border-left:1px #ccc solid;padding-left:1ex"><div dir="ltr"><div class="gmail_extra"><div class="gmail_quote"><span><div> </div><blockquote class="gmail_quote" style="margin:0 0 0 .8ex;border-left:1px #ccc solid;padding-left:1ex"><div dir="ltr"><div></div>In terms of the use in DMPlex, is there anything wrong with thinking of "chart" as a shorter way to say "interval of integers, closed on the left and open on the right, e.g. [pStart,pEnd)"?<br></div>
</blockquote></span></div><br>No, since we depend on continuity of point names almost everywhere.</div><div class="gmail_extra"><br></div><div class="gmail_extra"> Matt<span class="HOEnZb"><font color="#888888"><span class="m_3023599058773065630m_8702733533087987940HOEnZb"><font color="#888888"><br clear="all"><div><br></div>-- <br><div class="m_3023599058773065630m_8702733533087987940m_4920922334771033578gmail_signature" data-smartmail="gmail_signature"><div dir="ltr"><div><div dir="ltr"><div>What most experimenters take for granted before they begin their experiments is infinitely more interesting than any results to which their experiments lead.<br>-- Norbert Wiener</div><div><br></div><div><a href="http://www.caam.rice.edu/~mk51/" target="_blank">https://www.cse.buffalo.edu/~k<wbr>nepley/</a><br></div></div></div></div></div>
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</blockquote></div><br><br clear="all"><div><br></div>-- <br><div class="gmail_signature" data-smartmail="gmail_signature"><div dir="ltr"><div><div dir="ltr"><div>What most experimenters take for granted before they begin their experiments is infinitely more interesting than any results to which their experiments lead.<br>-- Norbert Wiener</div><div><br></div><div><a href="http://www.caam.rice.edu/~mk51/" target="_blank">https://www.cse.buffalo.edu/~knepley/</a><br></div></div></div></div></div>
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