http://www.mapleprimes.com/posts/94479-MRB-Constant-M en-us 2026 Maplesoft, A Division of Waterloo Maple Inc. Maplesoft Document System Thu, 11 Jun 2026 17:40:12 GMT Thu, 11 Jun 2026 17:40:12 GMT The latest comments added to the Post, MRB constant M http://www.mapleprimes.com/images/mapleprimeswhite.jpg http://www.mapleprimes.com/posts/94479-MRB-Constant-M http://www.mapleprimes.com/posts/94479-MRB-Constant-M?ref=Feed:MaplePrimes:MRB constant M:Comments#comment94499 <p>Using maple 12, the first graph looks differnt in the first and fourth quadrants.<!--break--></p> <p><a href="/view.aspx?sf=94499/276999/different.jpg"><img src="/view.aspx?sf=94499/276999/different.jpg" alt=""></a></p> <p><strong>Picture 2</strong></p> The latest comments added to the Post, MRB constant M 94499 Fri, 25 Jun 2010 19:06:22 Z Marvin Ray Burns Marvin Ray Burns http://www.mapleprimes.com/posts/94479-MRB-Constant-M?ref=Feed:MaplePrimes:MRB constant M:Comments#comment94516 <p>This should have the same shape as Picture 1.</p> <p>&nbsp;</p> <p>plots[complexplot](evalf(floor(cos(Pi*x)*x^(1/x)+I*sin(Pi*x)*x^(1/x))), x = 1 .. 4, labels = ["Re", "Im"])</p> <p><img class="plot" src="http://www.mapleprimes.com/MapleImage.ashx?f=6bf683a744c4a28f182335854efc0369.gif" alt="plots[complexplot](evalf(floor(cos(Pi*x)*x^(1/x)+I*sin(Pi*x)*x^(1/x))), x = 1 .. 4, labels = [&quot;Re&quot;, &quot;Im&quot;])"></p> <p>However, the third quadrant is different.</p> The latest comments added to the Post, MRB constant M 94516 Sat, 26 Jun 2010 01:45:22 Z Marvin Ray Burns Marvin Ray Burns http://www.mapleprimes.com/posts/94479-MRB-Constant-M?ref=Feed:MaplePrimes:MRB constant M:Comments#comment94520 <p>It might be easier to see what is going on if we break picture 1 into parts. We will also plot the expressions without the floor command.</p> <p>&nbsp;</p> <p><span>&nbsp;x = 1 .. 1.5:<br></span></p> <p><img class="plot" src="http://www.mapleprimes.com/MapleImage.ashx?f=87b502155282e2c09f9fba31e97bf55e.gif" alt="plots[complexplot](evalf(floor(cos(Pi*x)*x^(1/x)+I*sin(Pi*x)*x^(1/x))), x = 1 .. 1.5, labels = [&quot;Re&quot;, &quot;Im&quot;])"><img class="plot" src="http://www.mapleprimes.com/MapleImage.ashx?f=4fda9beefc2e870d4e975865b5969529.gif" alt="plots[complexplot](evalf((cos(Pi*x)*x^(1/x)+I*sin(Pi*x)*x^(1/x))), x = 1 .. 1.5, labels = [&quot;Re&quot;, &quot;Im&quot;])"></p> <p><span><strong>Picture 3a1&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </strong></span><span><strong>Picture 3a2</strong></span></p> <p><span>&nbsp;x = 1.5 .. 2:</span></p> <p><span><img class="plot" src="http://www.mapleprimes.com/MapleImage.ashx?f=010725a37060b119aea27fc9166f0a15.gif" alt="plots[complexplot](evalf(floor(cos(Pi*x)*x^(1/x)+I*sin(Pi*x)*x^(1/x))), x = 1.5 .. 2, labels = [&quot;Re&quot;, &quot;Im&quot;])"><img class="plot" src="http://www.mapleprimes.com/MapleImage.ashx?f=3085a1a191a3ea9218cdbf0b46175cb6.gif" alt="plots[complexplot](evalf((cos(Pi*x)*x^(1/x)+I*sin(Pi*x)*x^(1/x))), x = 1.5 .. 2, labels = [&quot;Re&quot;, &quot;Im&quot;])"></span></p> <p><span><strong>Picture 3b1&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </strong></span><span><strong>Picture 3b2</strong></span><span><br></span></p> <p><span>&nbsp;x = 2 .. 2.5:</span></p> <p><span><img class="plot" src="http://www.mapleprimes.com/MapleImage.ashx?f=c585e6e81326cbc45eeeb295a7982265.gif" alt="plots[complexplot](evalf(floor(cos(Pi*x)*x^(1/x)+I*sin(Pi*x)*x^(1/x))), x = 2 .. 2.5, labels = [&quot;Re&quot;, &quot;Im&quot;])"><img class="plot" src="http://www.mapleprimes.com/MapleImage.ashx?f=49bc2ca323ef04b27d6849d1fdf016f9.gif" alt="plots[complexplot](evalf((cos(Pi*x)*x^(1/x)+I*sin(Pi*x)*x^(1/x))), x = 2 .. 2.5, labels = [&quot;Re&quot;, &quot;Im&quot;])"><br></span></p> <p><span><strong>Picture 3c1&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </strong></span><span><strong>Picture 3c2</strong></span></p> <p>&nbsp;</p> <p><span>&nbsp;x = 2.5 .. 3:</span></p> <p><span><img class="plot" src="http://www.mapleprimes.com/MapleImage.ashx?f=d0151cb4ad3f9f773b15d2285a94433c.gif" alt="plots[complexplot](evalf(floor(cos(Pi*x)*x^(1/x)+I*sin(Pi*x)*x^(1/x))), x = 2.5 .. 3, labels = [&quot;Re&quot;, &quot;Im&quot;])"><img class="plot" src="http://www.mapleprimes.com/MapleImage.ashx?f=eeaa0510cf26746e5cbcf182511f54c9.gif" alt="plots[complexplot](evalf((cos(Pi*x)*x^(1/x)+I*sin(Pi*x)*x^(1/x))), x = 2.5 .. 3, labels = [&quot;Re&quot;, &quot;Im&quot;])"><br></span></p> <p><span><strong>Picture 3d1&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </strong></span><span><strong>Picture 3d2</strong></span></p> <p>&nbsp;</p> <p>&nbsp;</p> <p><span>&nbsp;x = 3 .. 3.25:</span></p> <p><span><img class="plot" src="http://www.mapleprimes.com/MapleImage.ashx?f=c23248d10c5a14858d353733a6908d59.gif" alt="plots[complexplot](evalf(floor(cos(Pi*x)*x^(1/x)+I*sin(Pi*x)*x^(1/x))), x = 3 .. 3.25, labels = [&quot;Re&quot;, &quot;Im&quot;])"><img class="plot" src="http://www.mapleprimes.com/MapleImage.ashx?f=f5844af99ea37a490aa357441688c0d6.gif" alt="plots[complexplot](evalf((cos(Pi*x)*x^(1/x)+I*sin(Pi*x)*x^(1/x))), x = 3 .. 3.25, labels = [&quot;Re&quot;, &quot;Im&quot;])"></span></p> <p><span><strong>Picture 3e1&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </strong></span><span><strong>Picture 3e2</strong></span></p> <p>&nbsp;</p> <p><span>&nbsp;x = 3.25 .. 3.5:</span></p> <p><span><img class="plot" src="http://www.mapleprimes.com/MapleImage.ashx?f=a18466a6753a7bf2d26f636784288409.gif" alt=" plots[complexplot](evalf(floor(cos(Pi*x)*x^(1/x)+I*sin(Pi*x)*x^(1/x))), x = 3.25 .. 3.5, labels = [&quot;Re&quot;, &quot;Im&quot;])"><img class="plot" src="http://www.mapleprimes.com/MapleImage.ashx?f=dcdf5b5190a5aecba42e8f23152a76b9.gif" alt="plots[complexplot](evalf((cos(Pi*x)*x^(1/x)+I*sin(Pi*x)*x^(1/x))), x = 3.25 .. 3.5, labels = [&quot;Re&quot;, &quot;Im&quot;])"><br></span></p> <p><span><strong>Picture 3f1&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </strong></span><span><strong>Picture 3f2</strong></span></p> <p>&nbsp;</p> <p>&nbsp;</p> <p><span>&nbsp;x = 3.5 .. 4:</span></p> <p><span><img class="plot" src="http://www.mapleprimes.com/MapleImage.ashx?f=8d8861052c2fff09f25003296f386bc3.gif" alt="plots[complexplot](evalf(floor(cos(Pi*x)*x^(1/x)+I*sin(Pi*x)*x^(1/x))), x = 3.5 .. 4, labels = [&quot;Re&quot;, &quot;Im&quot;])"><img class="plot" src="http://www.mapleprimes.com/MapleImage.ashx?f=0678e5ca7c73c05ff8cd9c7f5ce5dd71.gif" alt="plots[complexplot](evalf((cos(Pi*x)*x^(1/x)+I*sin(Pi*x)*x^(1/x))), x = 3.5 .. 4, labels = [&quot;Re&quot;, &quot;Im&quot;])"></span></p> <p><span><strong>Picture 3g1&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </strong></span><span><strong>Picture 3g2</strong></span></p> <p>&nbsp;</p> <p><span><strong><br></strong></span></p> <!--break--> The latest comments added to the Post, MRB constant M 94520 Sat, 26 Jun 2010 06:20:55 Z Marvin Ray Burns Marvin Ray Burns http://www.mapleprimes.com/posts/94479-MRB-Constant-M?ref=Feed:MaplePrimes:MRB constant M:Comments#comment94522 <p>Well I guess thats it; no big mystery!</p> <p>The function f is a spiral and ploting with the floor operator simply plots points for the floor of f(x). The points are simply in an order that, when all put together, gives the shape of picture 1.</p> <!--break--> <p><a href="http://marvinrayburns.com">marvinrayburns.com<br></a></p> The latest comments added to the Post, MRB constant M 94522 Sat, 26 Jun 2010 07:50:28 Z Marvin Ray Burns Marvin Ray Burns