<div dir="ltr"><div class="gmail_default" style="font-family:arial,helvetica,sans-serif"><span style="font-family:arial,sans-serif">On Tue, Aug 1, 2017 at 2:10 PM, spike </span><span dir="ltr" style="font-family:arial,sans-serif"><<a href="mailto:spike66@att.net" target="_blank">spike66@att.net</a>></span><span style="font-family:arial,sans-serif"> wrote:</span><br></div><div class="gmail_extra"><div class="gmail_quote"><br></div><blockquote class="gmail_quote" style="margin:0px 0px 0px 0.8ex;border-left-width:1px;border-left-color:rgb(204,204,204);border-left-style:solid;padding-left:1ex">>...Woolhouse's 11/144 = .076388889, equal to my Monte Carlo solution to<div class="gmail_default" style="font-family:arial,helvetica,sans-serif;display:inline">​ ​</div>about a part per million.<div class="gmail_default" style="font-family:arial,helvetica,sans-serif;display:inline">​ ​</div>Correction, my sim gives .0763889013, but I found a much faster way to do<div class="gmail_default" style="font-family:arial,helvetica,sans-serif;display:inline">​ ​</div>the calc by generating only three points and calculating an area.</blockquote><div><br></div><div><div class="gmail_default" style="font-family:arial,helvetica,sans-serif;display:inline">​</div><font size="4">That my friend is impressive! Do you have a hardware<div class="gmail_default" style="font-family:arial,helvetica,sans-serif;display:inline">​ ​</div>random number generator on your computer? I didn't know software pseudorandom<div class="gmail_default" style="font-family:arial,helvetica,sans-serif;display:inline">​ ​</div>ones were that good<div class="gmail_default" style="font-family:arial,helvetica,sans-serif;display:inline">​.​</div> <div class="gmail_default" style="font-family:arial,helvetica,sans-serif;display:inline">​Maybe</div> they have hardware ones built into microprocessor chips these days.</font></div><div><font size="4"><br></font></div><div><font face="arial, helvetica, sans-serif" size="4"><div class="gmail_default" style="font-family:arial,helvetica,sans-serif;display:inline"> John K Clark</div></font></div><div><div class="gmail_default" style="font-family:arial,helvetica,sans-serif;display:inline"><br></div></div><div><div class="gmail_default" style="font-family:arial,helvetica,sans-serif;display:inline"> </div></div><div class="gmail_quote"><br></div><div class="gmail_quote"><br></div><div class="gmail_quote"><br></div><div class="gmail_quote"><br><blockquote class="gmail_quote" style="margin:0px 0px 0px 0.8ex;border-left-width:1px;border-left-color:rgb(204,204,204);border-left-style:solid;padding-left:1ex"><br>
<br>
-----Original Message-----<br>
>...From: extropy-chat [mailto:<a href="mailto:extropy-chat-bounces@lists.extropy.org">extropy-chat-bounces@<wbr>lists.extropy.org</a>] On<br>
Behalf Of spike<br>
<br>
<br>
>...OK, so Woolhouse already claims this, in 1867.<br>
<br>
>...I ran 350 billion trials last night (why does that sound like an<br>
<span class="gmail-">exaggeration?  (It isn't.))  The answer I get from that is<br>
<br>
0.063889013<br>
<br>
</span>>...Woolhouse's 11/144 = .076388889, equal to my Monte Carlo solution to<br>
<span class="gmail-">about a part per million.<br>
<br>
<br>
<br>
</span>Correction, my sim gives .0763889013, but I found a much faster way to do<br>
the calc by generating only three points and calculating an area.<br>
<br>
Next we go on to generating three points on a unit sphere, connecting them<br>
with great circles and repeat.<br>
<span class="gmail-HOEnZb"><font color="#888888"><br>
spike<br>
</font></span><div class="gmail-HOEnZb"><div class="gmail-h5"><br>
<br>
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