<html xmlns="http://www.w3.org/1999/xhtml">
<head>
<title></title>
</head>
<body>
<div name="messageBodySection">This way of multiplying is isomorphic to what I learned in third grade. Multiply these numbers as you were taught. If your numbers have n and m digits, below the line in the multiplication there will be n m-digit numbers. (Ignoring carries for the sake of exposition), each of those n by m digits corresponds to a count of one of the small grids in the Japanese method. Hence the isomorphism.<br />
<br />
Carries seem to b handled the same way in both methods.<br />
<br />
— Barry</div>
<div name="messageReplySection">On Nov 3, 2018, 8:23 PM -0400, Frank Wimberly <wimberly3@gmail.com>, wrote:<br />
<blockquote type="cite">
<div dir="auto">"Real" and "real math" are two different things. My definition of real math is exposition of the form "definition, theorem, proof". When you figure out what "real" means, let me know.
<div dir="auto"><br /></div>
<div dir="auto">Frank<br />
<br />
<div data-smartmail="gmail_signature" dir="auto">-----------------------------------<br />
Frank Wimberly<br />
<br />
My memoir:<br />
<a href="https://www.amazon.com/author/frankwimberly">https://www.amazon.com/author/frankwimberly</a><br />
<br />
My scientific publications:<br />
<a href="https://www.researchgate.net/profile/Frank_Wimberly2">https://www.researchgate.net/profile/Frank_Wimberly2</a><br />
<br />
Phone <a dir="ltr" href="tel:(505)%20670-9918" x-apple-data-detectors="true" x-apple-data-detectors-type="telephone" x-apple-data-detectors-result="3">(505) 670-9918</a></div>
</div>
</div>
<br />
<div class="gmail_quote">
<div dir="ltr">On Sat, Nov 3, 2018, 6:14 PM Nick Thompson <<a href="mailto:nickthompson@earthlink.net">nickthompson@earthlink.net</a> wrote:<br /></div>
<blockquote class="gmail_quote" style="margin:0 0 0 .8ex;border-left:1px #ccc solid;padding-left:1ex">
<div lang="EN-US" link="blue" vlink="purple" xml:lang="EN-US">
<div class="m_-7456098448640229645WordSection1">
<p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Calibri",sans-serif;color:#1f497d">What!???? How could any mathematics not be REAL! FRANK! Defend yourself!<u></u><u></u></span></p>
<p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Calibri",sans-serif;color:#1f497d"><u></u> <u></u></span></p>
<p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Calibri",sans-serif;color:#1f497d">NIck<u></u><u></u></span></p>
<p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Calibri",sans-serif;color:#1f497d"><u></u> <u></u></span></p>
<div>
<p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Calibri",sans-serif;color:#1f497d">Nicholas S. Thompson<u></u><u></u></span></p>
<p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Calibri",sans-serif;color:#1f497d">Emeritus Professor of Psychology and Biology<u></u><u></u></span></p>
<p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Calibri",sans-serif;color:#1f497d">Clark University<u></u><u></u></span></p>
<p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Calibri",sans-serif;color:#1f497d"><a href="http://home.earthlink.net/~nickthompson/naturaldesigns/" target="_blank" rel="noreferrer"><span style="color:#0563c1">http://home.earthlink.net/~nickthompson/naturaldesigns/</span></a><u></u><u></u></span></p>
</div>
<p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Calibri",sans-serif;color:#1f497d"><u></u> <u></u></span></p>
<div>
<div style="border:none;border-top:solid #e1e1e1 1.0pt;padding:3.0pt 0in 0in 0in">
<p class="MsoNormal"><b><span style="font-size:11.0pt;font-family:"Calibri",sans-serif">From:</span></b> <span style="font-size:11.0pt;font-family:"Calibri",sans-serif">Friam [mailto:<a href="mailto:friam-bounces@redfish.com" target="_blank" rel="noreferrer">friam-bounces@redfish.com</a>] <b>On Behalf Of</b> Prof David West<br />
<b>Sent:</b> Saturday, November 03, 2018 5:52 PM<br />
<b>To:</b> <a href="mailto:friam@redfish.com" target="_blank" rel="noreferrer">friam@redfish.com</a><br />
<b>Subject:</b> Re: [FRIAM] This is how the Japanese multiply. (Math, not biology)<u></u><u></u></span></p>
</div>
</div>
<p class="MsoNormal"><u></u> <u></u></p>
<div>
<p class="MsoNormal"><span style="font-family:"Arial",sans-serif">I have a couple of books on "Vedic Math" - a large set of techniques for how to calculate. This technique was among them. Showed the books to Frank once, he was not impressed, "not real mathematics."<u></u><u></u></span></p>
</div>
<div>
<p class="MsoNormal"><span style="font-family:"Arial",sans-serif"><u></u> <u></u></span></p>
</div>
<div>
<p class="MsoNormal"><span style="font-family:"Arial",sans-serif">davew<u></u><u></u></span></p>
</div>
<div>
<p class="MsoNormal"><span style="font-family:"Arial",sans-serif"><u></u> <u></u></span></p>
</div>
<div>
<p class="MsoNormal"><u></u> <u></u></p>
</div>
<div>
<p class="MsoNormal"><u></u> <u></u></p>
</div>
<div>
<p class="MsoNormal">On Sat, Nov 3, 2018, at 9:02 AM, Tom Johnson wrote:<u></u><u></u></p>
</div>
<blockquote style="margin-top:5.0pt;margin-bottom:5.0pt">
<div>
<p class="MsoNormal"><a href="https://www.facebook.com/637328420/posts/10156877698343421/" target="_blank" rel="noreferrer">https://www.facebook.com/637328420/posts/10156877698343421/</a><u></u><u></u></p>
</div>
<div>
<p class="MsoNormal">============================================================<u></u><u></u></p>
</div>
<div>
<p class="MsoNormal">FRIAM Applied Complexity Group listserv<u></u><u></u></p>
</div>
<div>
<p class="MsoNormal">Meets Fridays 9a-11:30 at cafe at St. John's College<u></u><u></u></p>
</div>
<div>
<p class="MsoNormal">to unsubscribe <a href="http://redfish.com/mailman/listinfo/friam_redfish.com" target="_blank" rel="noreferrer">http://redfish.com/mailman/listinfo/friam_redfish.com</a><u></u><u></u></p>
</div>
<div>
<p class="MsoNormal">FRIAM-COMIC <a href="http://friam-comic.blogspot.com/" target="_blank" rel="noreferrer">http://friam-comic.blogspot.com/</a> by Dr. Strangelove<u></u><u></u></p>
</div>
</blockquote>
<div>
<p class="MsoNormal"><span style="font-family:"Arial",sans-serif"><u></u> <u></u></span></p>
</div>
</div>
</div>
============================================================<br />
FRIAM Applied Complexity Group listserv<br />
Meets Fridays 9a-11:30 at cafe at St. John's College<br />
to unsubscribe <a href="http://redfish.com/mailman/listinfo/friam_redfish.com" rel="noreferrer noreferrer" target="_blank">http://redfish.com/mailman/listinfo/friam_redfish.com</a><br />
FRIAM-COMIC <a href="http://friam-comic.blogspot.com/" rel="noreferrer noreferrer" target="_blank">http://friam-comic.blogspot.com/</a> by Dr. Strangelove<br /></blockquote>
</div>
============================================================<br />
FRIAM Applied Complexity Group listserv<br />
Meets Fridays 9a-11:30 at cafe at St. John's College<br />
to unsubscribe http://redfish.com/mailman/listinfo/friam_redfish.com<br />
FRIAM-COMIC http://friam-comic.blogspot.com/ by Dr. Strangelove<br /></blockquote>
</div>
</body>
</html>