http://www.mapleprimes.com/posts/129276-MRB-Constant-S en-us 2026 Maplesoft, A Division of Waterloo Maple Inc. Maplesoft Document System Fri, 12 Jun 2026 06:31:35 GMT Fri, 12 Jun 2026 06:31:35 GMT The latest comments added to the Post, MRB constant S http://www.mapleprimes.com/images/mapleprimeswhite.jpg http://www.mapleprimes.com/posts/129276-MRB-Constant-S http://www.mapleprimes.com/posts/129276-MRB-Constant-S?ref=Feed:MaplePrimes:MRB constant S:Comments#comment129278 <p>in view of</p> <p>&gt; c := -1.322914084;<br>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; -1.322914084<br>&gt; for j to 20 do c := evalf(eval(sum((-1)^n*(n^(a/n)-a), n = 1 .. infinity), a = c)) end do;</p> <p>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; -1.334322711<br>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; -1.341225105<br>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; .....</p> <p>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; -1.351771076<br>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; -1.351773260<br>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; -1.351774580<br>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; -1.351775377<br>&nbsp;<a href="/view.aspx?sf=129278/428004/dynamics.mw">dynamics.mw</a><br><br><br><br></p> The latest comments added to the Post, MRB constant S 129278 Mon, 02 Jan 2012 21:55:50 Z Markiyan Hirnyk Markiyan Hirnyk http://www.mapleprimes.com/posts/129276-MRB-Constant-S?ref=Feed:MaplePrimes:MRB constant S:Comments#comment129280 <p>It seems&nbsp; that f(c)=MRB implies c=1:</p> <p>&gt; restart; f := unapply(sum((-1)^n*(n^(a/n)-a), n = 1 .. infinity), a);<br><img src="data:image/png;base64,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" alt=""><br>&gt; plot(f);<br><img src="data:image/png;base64,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" alt=""></p> The latest comments added to the Post, MRB constant S 129280 Mon, 02 Jan 2012 23:40:50 Z Markiyan Hirnyk Markiyan Hirnyk http://www.mapleprimes.com/posts/129276-MRB-Constant-S?ref=Feed:MaplePrimes:MRB constant S:Comments#comment129281 <p>I see only the two fixed points in the plot: -1.35177 and 7.02400.</p> <p><img src="data:image/png;base64,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" alt=""></p> <p><img src="data:image/png;base64,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" alt=""></p> The latest comments added to the Post, MRB constant S 129281 Mon, 02 Jan 2012 23:54:13 Z Markiyan Hirnyk Markiyan Hirnyk http://www.mapleprimes.com/posts/129276-MRB-Constant-S?ref=Feed:MaplePrimes:MRB constant S:Comments#comment129282 <p><img src="data:image/png;base64,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" alt=""></p> <p><img src="data:image/png;base64,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" alt=""></p> <p>PS. Also another solution of the equation f(c)=MRB near 26 is seen.</p> The latest comments added to the Post, MRB constant S 129282 Tue, 03 Jan 2012 00:14:53 Z Markiyan Hirnyk Markiyan Hirnyk http://www.mapleprimes.com/posts/129276-MRB-Constant-S?ref=Feed:MaplePrimes:MRB constant S:Comments#comment129283 <p><span><a href="http://www.mapleprimes.com/users/Markiyan%20Hirnyk">Markiyan</a>, It looks like you were showing me where f(c)=c, not necessarily&nbsp;&nbsp;f(c)=MRB. I wonder if our solution of f(c)=c&nbsp;near c=26 is valid. I mean why would the graph of f have a singularity near 26?</span></p> <p><span><br></span></p> The latest comments added to the Post, MRB constant S 129283 Tue, 03 Jan 2012 00:56:23 Z Marvin Ray Burns Marvin Ray Burns http://www.mapleprimes.com/posts/129276-MRB-Constant-S?ref=Feed:MaplePrimes:MRB constant S:Comments#comment129284 <p>&nbsp;</p> <form name="worksheet_form"> <table style="width: 576px;" align="center"> <tbody> <tr> <td> <p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="left"><span style="color: #000000; font-size: 100%; font-family: Times New Roman,serif; font-weight: normal; font-style: normal;">Let f(c)= </span><img style="vertical-align: -20;" src="/view.aspx?sf=129284/428014/64cc51581b035ecdcb0b97f219fa45ba.gif" alt="sum((-1)^n*(n^(c/n)-c), n = 1 .. infinity)" width="160" height="55"></p> <p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="left"><span style="color: #000000; font-size: 100%; font-family: Times New Roman,serif; font-weight: normal; font-style: normal;">I asked, "As an alalytic extension of the sum is there another value for c such that f(c) = the MRB constant?" i.e. 0.187859...</span></p> <p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="left"><span style="color: #000000; font-size: 100%; font-family: Times New Roman,serif; font-weight: normal; font-style: normal;">&nbsp; </span></p> <p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="left"><span style="color: #000000; font-size: 100%; font-family: Times New Roman,serif; font-weight: normal; font-style: normal;">It appears that the slope of the graph of f is positive throughout, never equals 0, and never allows f(c) to equal 0.187859 again.</span></p> <p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="left"><img style="vertical-align: -20;" src="/view.aspx?sf=129284/428014/bee87b9c704dabe53b4eb7f9cce2fe73.gif" alt="plot([.1878596, evalf(sum((-1)^n*(n^(c/n)-c), n = 1 .. infinity))], c = -5 .. 5)" width="393" height="55"></p> <table> <tbody> <tr valign="baseline"> <td> <p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="center"><a href="http://www.maplesoft.com/support/faqs/MapleNet/redirect.aspx?param=plot_java_14206"><img style="border: none;" src="/view.aspx?sf=129284/428014/e18e06b11747c0433adc912976caea43.gif" alt="" width="400" height="400" align="middle"></a></p> </td> <td style="color: #000000; font-family: Times, serif; font-weight: bold; font-style: normal;" align="right">&nbsp;</td> </tr> </tbody> </table> <p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="left"><span style="color: #000000; font-size: 100%; font-family: Times New Roman,serif; font-weight: normal; font-style: normal;">&nbsp;showing, interestingly, that</span></p> <p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="left"><img style="vertical-align: -20;" src="/view.aspx?sf=129284/428014/a8e2d4f490ed4c5893fa9c89e43ada29.gif" alt="evalf(eval(sum((-1)^n*(n^(c/n)-c), n = 1 .. infinity), c = 0))" width="289" height="55"><span style="color: #000000; font-size: 100%; font-family: Times New Roman,serif; font-weight: normal; font-style: normal;">&nbsp;= </span><img style="vertical-align: -6;" src="/view.aspx?sf=129284/428014/237f6039e3107bde136f2de53ec75aac.gif" alt="-.5000000000" width="102" height="23"><img style="vertical-align: -6;" src="/view.aspx?sf=129284/428014/eae91c80dafd7b81275f70331e76f55a.gif" alt="." width="9" height="23"></p> <p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="left"><span style="color: #000000; font-size: 100%; font-family: Times New Roman,serif; font-weight: normal; font-style: normal;">&nbsp; </span></p> <p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="left"><span style="color: #000000; font-size: 100%; font-family: Times New Roman,serif; font-weight: normal; font-style: normal;">&nbsp; </span></p> <p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="left"><img style="vertical-align: -6;" src="/view.aspx?sf=129284/428014/bc45d1bf6edac2c1c2d90972eefe2529.gif" alt="NULL" width="11" height="23"></p> <p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="left"><span style="color: #000000; font-size: 100%; font-family: Times New Roman,serif; font-weight: normal; font-style: normal;">However, if we let g(c)= </span><img style="vertical-align: -20;" src="/view.aspx?sf=129284/428014/81cd5e6856addea6a859e7e3796a82c7.gif" alt="sum((-1)^n*(n^(c/n)-1), n = 1 .. infinity)" width="161" height="55"></p> <p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="left"><img style="vertical-align: -6;" src="/view.aspx?sf=129284/428014/f1fa3fdb5c46784c5462b205d7503a92.gif" alt="NULL" width="11" height="23"></p> <p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="left"><img style="vertical-align: -6;" src="/view.aspx?sf=129284/428014/7bb75e2a08b581213b44ff84d0c2220b.gif" alt="``" width="11" height="23"><span style="color: #000000; font-size: 100%; font-family: Times New Roman,serif; font-weight: normal; font-style: normal;">then</span></p> <p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="left"><img style="vertical-align: -20;" src="/view.aspx?sf=129284/428014/977461f480eaed99fd8c866002abb120.gif" alt="evalf(eval(sum((-1)^n*(n^(c/n)-1), n = 1 .. infinity), c = 25.65665403510586285599))" width="451" height="55"><span style="color: #000000; font-size: 100%; font-family: Times New Roman,serif; font-weight: normal; font-style: normal;">&nbsp;= </span><img style="vertical-align: -6;" src="/view.aspx?sf=129284/428014/810887e5fad4a03887d39998ae331bad.gif" alt=".1878586882" width="92" height="23"></p> <p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="left"><img style="vertical-align: -6;" src="/view.aspx?sf=129284/428014/b7d51b28d73a5a3096730a80526e91e8.gif" alt="." width="9" height="23"></p> <p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="left"><img style="vertical-align: -6;" src="/view.aspx?sf=129284/428014/4031cefac13c79e95873a5bdaed74026.gif" alt="``" width="11" height="23"></p> </td> </tr> </tbody> </table> <input type="hidden" name="sequence" value="1"> <input type="hidden" name="cmd" value="none"></form> <p>&nbsp;</p> <p><a href="/view.aspx?sf=129284/428014/bjan022012.mw">Download bjan022012.mw</a></p> The latest comments added to the Post, MRB constant S 129284 Tue, 03 Jan 2012 00:58:48 Z Marvin Ray Burns Marvin Ray Burns