http://www.mapleprimes.com/questions/142994-Forcing-Fsolve-To-Find-Next-Solution en-us 2026 Maplesoft, A Division of Waterloo Maple Inc. Maplesoft Document System Tue, 16 Jun 2026 14:09:47 GMT Tue, 16 Jun 2026 14:09:47 GMT The latest answers and comments added to the Question, Forcing fsolve to find next solution http://www.mapleprimes.com/images/mapleprimeswhite.jpg http://www.mapleprimes.com/questions/142994-Forcing-Fsolve-To-Find-Next-Solution http://www.mapleprimes.com/questions/142994-Forcing-Fsolve-To-Find-Next-Solution?ref=Feed:MaplePrimes:Forcing fsolve to find next solution:Comments#answer142996 <p>&nbsp;</p> <form name="worksheet_form"></form><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"><img style="vertical-align: -112;" src="/view.aspx?sf=142996/452967/920cb1753ffe755af7dbd119ffe53c77.gif" alt="restart; x := Array(0 .. 10); x[0] := 0; for i to 10 do x[i] := fsolve(sin(y) = 0, y = x[i-1] .. x[i-1]+3.15, avoid = {seq(y = x[k-1], k = 1 .. i)}) end do" width="576" height="129" align="middle"></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=142996/452967/3a6bb86897fdf829799e9881d2fa2cf9.gif" alt="x" width="12" height="23"></p> <table> <tbody> <tr valign="baseline"> <td> <p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="center"><img style="vertical-align: -46;" src="/view.aspx?sf=142996/452967/bb24fadb2a5e09f96fc983b328391756.gif" alt="RTABLE(295124928, anything, Array, rectangular, Fortran_order, [], 1, 0 .. 10)" width="160" height="103"></p> </td> <td style="color: #000000; font-family: Times, serif; font-weight: bold; font-style: normal;" align="right">(2)</td> </tr> </tbody> </table> <p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="left"><img style="vertical-align: -6;" src="/view.aspx?sf=142996/452967/7c21038a9e5619da8cd6c4ff41d26677.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><form name="worksheet_form"><br> <br> <p><a href="/view.aspx?sf=142996/452967/fsolve2.mw">Download fsolve2.mw</a></p> <input type="hidden" name="sequence" value="1"> <input type="hidden" name="cmd" value="none"></form> <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; 3.141592654<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; 6.283185307<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; 9.424777961<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; 12.56637061<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; 15.70796327<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; 18.84955592<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; 21.99114858<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; 25.13274123<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; 28.27433388<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; 31.41592654<br><br><br><br></p> <p>&nbsp;See <a href="http://www.maplesoft.com/support/help/search.aspx?term=fsolve,details">?fsolve,details</a> and <a href="http://www.maplesoft.com/support/help/search.aspx?term=seq">?seq</a> for more info.</p> <p>Edit. fsolve2.mw instead of fsolve.mw</p> <p>&nbsp;</p> <form name="worksheet_form"></form><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"><img style="vertical-align: -112;" src="/view.aspx?sf=142996/452967/920cb1753ffe755af7dbd119ffe53c77.gif" alt="restart; x := Array(0 .. 10); x[0] := 0; for i to 10 do x[i] := fsolve(sin(y) = 0, y = x[i-1] .. x[i-1]+3.15, avoid = {seq(y = x[k-1], k = 1 .. i)}) end do" width="576" height="129" align="middle"></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=142996/452967/3a6bb86897fdf829799e9881d2fa2cf9.gif" alt="x" width="12" height="23"></p> <table> <tbody> <tr valign="baseline"> <td> <p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="center"><img style="vertical-align: -46;" src="/view.aspx?sf=142996/452967/bb24fadb2a5e09f96fc983b328391756.gif" alt="RTABLE(295124928, anything, Array, rectangular, Fortran_order, [], 1, 0 .. 10)" width="160" height="103"></p> </td> <td style="color: #000000; font-family: Times, serif; font-weight: bold; font-style: normal;" align="right">(2)</td> </tr> </tbody> </table> <p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="left"><img style="vertical-align: -6;" src="/view.aspx?sf=142996/452967/7c21038a9e5619da8cd6c4ff41d26677.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><form name="worksheet_form"><br> <br> <p><a href="/view.aspx?sf=142996/452967/fsolve2.mw">Download fsolve2.mw</a></p> <input type="hidden" name="sequence" value="1"> <input type="hidden" name="cmd" value="none"></form> <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; 3.141592654<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; 6.283185307<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; 9.424777961<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; 12.56637061<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; 15.70796327<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; 18.84955592<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; 21.99114858<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; 25.13274123<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; 28.27433388<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; 31.41592654<br><br><br><br></p> <p>&nbsp;See <a href="http://www.maplesoft.com/support/help/search.aspx?term=fsolve,details">?fsolve,details</a> and <a href="http://www.maplesoft.com/support/help/search.aspx?term=seq">?seq</a> for more info.</p> <p>Edit. fsolve2.mw instead of fsolve.mw</p> 142996 Sun, 03 Feb 2013 02:32:55 Z Markiyan Hirnyk Markiyan Hirnyk http://www.mapleprimes.com/questions/142994-Forcing-Fsolve-To-Find-Next-Solution?ref=Feed:MaplePrimes:Forcing fsolve to find next solution:Comments#answer143003 <p>Here is another example using <a href='http://www.maplesoft.com/support/help/search.aspx?term=solve' target='_new'>?solve</a> instead of fsolve.&nbsp; Either way, you will get what you are looking for.</p> <form name="worksheet_form"> <table style="width: 576px;" align="center"> <tbody> <tr> <td> <table style="margin-left: 0px; margin-right: 0px;"> <tbody> <tr valign="baseline"> <td><span style="color: #ff0000; font-size: 100%; font-family: Courier New,monospace; font-weight: bold; font-style: normal;"> &gt;&nbsp;</span></td> <td> <p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="left"><span style="color: #ff0000; font-size: 100%; font-family: Courier New,monospace; font-weight: bold; font-style: normal;">restart:</span></p> </td> </tr> </tbody> </table> <table style="margin-left: 0px; margin-right: 0px;"> <tbody> <tr valign="baseline"> <td><span style="color: #ff0000; font-size: 100%; font-family: Courier New,monospace; font-weight: bold; font-style: normal;"> &gt;&nbsp;</span></td> <td> <p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="left"><span style="color: #ff0000; font-size: 100%; font-family: Courier New,monospace; font-weight: bold; font-style: normal;">r:=solve(sin(x)=0,x,allsolutions);</span></p> </td> </tr> </tbody> </table> <table> <tbody> <tr valign="baseline"> <td> <p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="center"><img style="vertical-align: -7;" src="/view.aspx?sf=143003/452985/005ee6043304f497b332263fe6767451.gif" alt="Pi*_Z1" width="73" height="26"></p> </td> <td style="color: #000000; font-family: Times, serif; font-weight: bold; font-style: normal;" align="right">(1)</td> </tr> </tbody> </table> <table style="margin-left: 0px; margin-right: 0px;"> <tbody> <tr valign="baseline"> <td><span style="color: #ff0000; font-size: 100%; font-family: Courier New,monospace; font-weight: bold; font-style: normal;"> &gt;&nbsp;</span></td> <td> <p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="left"><span style="color: #ff0000; font-size: 100%; font-family: Courier New,monospace; font-weight: bold; font-style: normal;">seq(eval(r, op(indets(r)) = i),i=0..10);</span></p> </td> </tr> </tbody> </table> <table> <tbody> <tr valign="baseline"> <td> <p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="center"><img style="vertical-align: -7;" src="/view.aspx?sf=143003/452985/b00df83295312374c5ae4b0b40a911f5.gif" alt="0, Pi, 2*Pi, 3*Pi, 4*Pi, 5*Pi, 6*Pi, 7*Pi, 8*Pi, 9*Pi, 10*Pi" width="261" height="26"></p> </td> <td style="color: #000000; font-family: Times, serif; font-weight: bold; font-style: normal;" align="right">(2)</td> </tr> </tbody> </table> <table style="margin-left: 0px; margin-right: 0px;"> <tbody> <tr valign="baseline"> <td><span style="color: #ff0000; font-size: 100%; font-family: Courier New,monospace; font-weight: bold; font-style: normal;"> &gt;&nbsp;</span></td> <td> <p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="left"><span style="color: #ff0000; font-size: 100%; font-family: Courier New,monospace; font-weight: bold; font-style: normal;">&nbsp; </span></p> </td> </tr> </tbody> </table> </td> </tr> </tbody> </table> <input type="hidden" name="sequence" value="1"><input type="hidden" name="cmd" value="none"></form><!--break--> <p><a href="/view.aspx?sf=143003/452985/solve.mw">Download solve.mw</a></p> <p>Regards,</p> <p>Georgios Kokovidis</p> <p>Dr&auml;ger Medical</p> <p>Here is another example using <a href='http://www.maplesoft.com/support/help/search.aspx?term=solve' target='_new'>?solve</a> instead of fsolve.&nbsp; Either way, you will get what you are looking for.</p> <form name="worksheet_form"> <table style="width: 576px;" align="center"> <tbody> <tr> <td> <table style="margin-left: 0px; margin-right: 0px;"> <tbody> <tr valign="baseline"> <td><span style="color: #ff0000; font-size: 100%; font-family: Courier New,monospace; font-weight: bold; font-style: normal;"> &gt;&nbsp;</span></td> <td> <p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="left"><span style="color: #ff0000; font-size: 100%; font-family: Courier New,monospace; font-weight: bold; font-style: normal;">restart:</span></p> </td> </tr> </tbody> </table> <table style="margin-left: 0px; margin-right: 0px;"> <tbody> <tr valign="baseline"> <td><span style="color: #ff0000; font-size: 100%; font-family: Courier New,monospace; font-weight: bold; font-style: normal;"> &gt;&nbsp;</span></td> <td> <p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="left"><span style="color: #ff0000; font-size: 100%; font-family: Courier New,monospace; font-weight: bold; font-style: normal;">r:=solve(sin(x)=0,x,allsolutions);</span></p> </td> </tr> </tbody> </table> <table> <tbody> <tr valign="baseline"> <td> <p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="center"><img style="vertical-align: -7;" src="/view.aspx?sf=143003/452985/005ee6043304f497b332263fe6767451.gif" alt="Pi*_Z1" width="73" height="26"></p> </td> <td style="color: #000000; font-family: Times, serif; font-weight: bold; font-style: normal;" align="right">(1)</td> </tr> </tbody> </table> <table style="margin-left: 0px; margin-right: 0px;"> <tbody> <tr valign="baseline"> <td><span style="color: #ff0000; font-size: 100%; font-family: Courier New,monospace; font-weight: bold; font-style: normal;"> &gt;&nbsp;</span></td> <td> <p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="left"><span style="color: #ff0000; font-size: 100%; font-family: Courier New,monospace; font-weight: bold; font-style: normal;">seq(eval(r, op(indets(r)) = i),i=0..10);</span></p> </td> </tr> </tbody> </table> <table> <tbody> <tr valign="baseline"> <td> <p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="center"><img style="vertical-align: -7;" src="/view.aspx?sf=143003/452985/b00df83295312374c5ae4b0b40a911f5.gif" alt="0, Pi, 2*Pi, 3*Pi, 4*Pi, 5*Pi, 6*Pi, 7*Pi, 8*Pi, 9*Pi, 10*Pi" width="261" height="26"></p> </td> <td style="color: #000000; font-family: Times, serif; font-weight: bold; font-style: normal;" align="right">(2)</td> </tr> </tbody> </table> <table style="margin-left: 0px; margin-right: 0px;"> <tbody> <tr valign="baseline"> <td><span style="color: #ff0000; font-size: 100%; font-family: Courier New,monospace; font-weight: bold; font-style: normal;"> &gt;&nbsp;</span></td> <td> <p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="left"><span style="color: #ff0000; font-size: 100%; font-family: Courier New,monospace; font-weight: bold; font-style: normal;">&nbsp; </span></p> </td> </tr> </tbody> </table> </td> </tr> </tbody> </table> <input type="hidden" name="sequence" value="1"><input type="hidden" name="cmd" value="none"></form><!--break--> <p><a href="/view.aspx?sf=143003/452985/solve.mw">Download solve.mw</a></p> <p>Regards,</p> <p>Georgios Kokovidis</p> <p>Dr&auml;ger Medical</p> 143003 Sun, 03 Feb 2013 03:38:47 Z gkokovidis gkokovidis http://www.mapleprimes.com/questions/142994-Forcing-Fsolve-To-Find-Next-Solution?ref=Feed:MaplePrimes:Forcing fsolve to find next solution:Comments#comment142998 <p><br> </p> <form name="worksheet_form"> <table style="width: 576px;" align="center"> <tbody> <tr> <td> <table style="margin-left: 0px; margin-right: 0px;"> <tbody> <tr valign="baseline"> <td><span style="color: #ff0000; font-size: 100%; font-family: Courier New,monospace; font-weight: bold; font-style: normal;"> &gt;&nbsp;</span></td> <td> <p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="left"><img style="vertical-align: -6;" src="/view.aspx?sf=142998/452976/f0d9b39806e1042609cead7b3e692a96.gif" alt="x := Array(0 .. 10):" width="124" height="23"><img style="vertical-align: -6;" src="/view.aspx?sf=142998/452976/95eee2d9cb89aa9826e3449754f560ce.gif" alt="with(RootFinding):" width="132" height="23"></p> </td> </tr> </tbody> </table> <table style="margin-left: 0px; margin-right: 0px;"> <tbody> <tr valign="baseline"> <td><span style="color: #ff0000; font-size: 100%; font-family: Courier New,monospace; font-weight: bold; font-style: normal;"> &gt;&nbsp;</span></td> <td> <p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="left"><img style="vertical-align: -11;" src="/view.aspx?sf=142998/452976/21bad8584d49421cf8c782dae9696d64.gif" alt="x[0] := NextZero(proc (x) options operator, arrow; sin(x) end proc, -1);" width="195" height="28"></p> </td> </tr> </tbody> </table> <table> <tbody> <tr valign="baseline"> <td> <p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="center"><img style="vertical-align: -11;" src="/view.aspx?sf=142998/452976/f5d62613f3f301d30a9df36db3747758.gif" alt="0." width="49" height="28"></p> </td> <td style="color: #000000; font-family: Times, serif; font-weight: bold; font-style: normal;" align="right">(1)</td> </tr> </tbody> </table> <table style="margin-left: 0px; margin-right: 0px;"> <tbody> <tr valign="baseline"> <td><span style="color: #ff0000; font-size: 100%; font-family: Courier New,monospace; font-weight: bold; font-style: normal;"> &gt;&nbsp;</span></td> <td> <p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="left"><img style="vertical-align: -6;" src="/view.aspx?sf=142998/452976/9913b7baf33dfe525bb3311849e9505d.gif" alt="for j to 10 do x[j] := NextZero(proc (x) options operator, arrow; sin(x) end proc, x[j-1]) end do;" width="417" height="23"></p> </td> </tr> </tbody> </table> <table> <tbody> <tr valign="baseline"> <td> <p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="center"><img style="vertical-align: -11;" src="/view.aspx?sf=142998/452976/824c2255b76683f1e7348bd91e330a06.gif" alt="3.141592653" width="116" height="28"></p> </td> <td style="color: #000000; font-family: Times, serif; font-weight: bold; font-style: normal;" align="right">&nbsp;</td> </tr> </tbody> </table> <table> <tbody> <tr valign="baseline"> <td> <p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="center"><img style="vertical-align: -11;" src="/view.aspx?sf=142998/452976/b7e29d93da597aa17bb8ca32f7253e09.gif" alt="6.283185307" width="116" height="28"></p> </td> <td style="color: #000000; font-family: Times, serif; font-weight: bold; font-style: normal;" align="right">&nbsp;</td> </tr> </tbody> </table> <table> <tbody> <tr valign="baseline"> <td> <p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="center"><img style="vertical-align: -11;" src="/view.aspx?sf=142998/452976/d1f307624d8376993cb8bb09c8822c9f.gif" alt="9.424777960" width="116" height="28"></p> </td> <td style="color: #000000; font-family: Times, serif; font-weight: bold; font-style: normal;" align="right">&nbsp;</td> </tr> </tbody> </table> <table> <tbody> <tr valign="baseline"> <td> <p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="center"><img style="vertical-align: -11;" src="/view.aspx?sf=142998/452976/7abd260b903a8528681a72a1fc5cd24d.gif" alt="12.56637061" width="116" height="28"></p> </td> <td style="color: #000000; font-family: Times, serif; font-weight: bold; font-style: normal;" align="right">&nbsp;</td> </tr> </tbody> </table> <table> <tbody> <tr valign="baseline"> <td> <p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="center"><img style="vertical-align: -11;" src="/view.aspx?sf=142998/452976/e505426f5bcff404741c024ee3f4f4c5.gif" alt="15.70796326" width="116" height="28"></p> </td> <td style="color: #000000; font-family: Times, serif; font-weight: bold; font-style: normal;" align="right">&nbsp;</td> </tr> </tbody> </table> <table> <tbody> <tr valign="baseline"> <td> <p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="center"><img style="vertical-align: -11;" src="/view.aspx?sf=142998/452976/91efdec3ed598b29a0420f20a6cf5861.gif" alt="18.84955592" width="116" height="28"></p> </td> <td style="color: #000000; font-family: Times, serif; font-weight: bold; font-style: normal;" align="right">&nbsp;</td> </tr> </tbody> </table> <table> <tbody> <tr valign="baseline"> <td> <p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="center"><img style="vertical-align: -11;" src="/view.aspx?sf=142998/452976/5e091fed9f852878280c5b3af2061e6f.gif" alt="21.99114857" width="116" height="28"></p> </td> <td style="color: #000000; font-family: Times, serif; font-weight: bold; font-style: normal;" align="right">&nbsp;</td> </tr> </tbody> </table> <table> <tbody> <tr valign="baseline"> <td> <p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="center"><img style="vertical-align: -11;" src="/view.aspx?sf=142998/452976/f0e75d7d493290bf22d02970706367b2.gif" alt="25.13274122" width="116" height="28"></p> </td> <td style="color: #000000; font-family: Times, serif; font-weight: bold; font-style: normal;" align="right">&nbsp;</td> </tr> </tbody> </table> <table> <tbody> <tr valign="baseline"> <td> <p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="center"><img style="vertical-align: -11;" src="/view.aspx?sf=142998/452976/d1221308e6479ad0ab98f1b48be7cd41.gif" alt="28.27433388" width="116" height="28"></p> </td> <td style="color: #000000; font-family: Times, serif; font-weight: bold; font-style: normal;" align="right">&nbsp;</td> </tr> </tbody> </table> <table> <tbody> <tr valign="baseline"> <td> <p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="center"><img style="vertical-align: -11;" src="/view.aspx?sf=142998/452976/9c8c2b79844393c6a7066d72469a5aa0.gif" alt="31.41592653" width="122" height="28"></p> </td> <td style="color: #000000; font-family: Times, serif; font-weight: bold; font-style: normal;" align="right">(2)</td> </tr> </tbody> </table> <table style="margin-left: 0px; margin-right: 0px;"> <tbody> <tr valign="baseline"> <td><span style="color: #ff0000; font-size: 100%; font-family: Courier New,monospace; font-weight: bold; font-style: normal;"> &gt;&nbsp;</span></td> <td> <p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="left"><img style="vertical-align: -6;" src="/view.aspx?sf=142998/452976/84a741d0240670e50c4f3efa2ccb25c1.gif" alt="x" width="12" height="23"></p> </td> </tr> </tbody> </table> <table> <tbody> <tr valign="baseline"> <td> <p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="center"><img style="vertical-align: -46;" src="/view.aspx?sf=142998/452976/a461fe295a6aaa165ac382fca90967c4.gif" alt="RTABLE(294104104, anything, Array, rectangular, Fortran_order, [], 1, 0 .. 10)" width="160" height="103"></p> </td> <td style="color: #000000; font-family: Times, serif; font-weight: bold; font-style: normal;" align="right">(3)</td> </tr> </tbody> </table> <table style="margin-left: 0px; margin-right: 0px;"> <tbody> <tr valign="baseline"> <td><span style="color: #ff0000; font-size: 100%; font-family: Courier New,monospace; font-weight: bold; font-style: normal;"> &gt;&nbsp;</span></td> <td> <p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="left"><img style="vertical-align: -6;" src="/view.aspx?sf=142998/452976/57f0d42460a37c0d7e289e466a942637.gif" alt="``" width="11" height="23"></p> </td> </tr> </tbody> </table> <table style="margin-left: 0px; margin-right: 0px;"> <tbody> <tr valign="baseline"> <td><span style="color: #ff0000; font-size: 100%; font-family: Courier New,monospace; font-weight: bold; font-style: normal;"> &gt;&nbsp;</span></td> <td> <p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="left"><img style="vertical-align: -6;" src="/view.aspx?sf=142998/452976/f448cb15136fc520b95557c193c1d98a.gif" alt="``" width="11" height="23"></p> </td> </tr> </tbody> </table> <p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="left"><img style="vertical-align: -6;" src="/view.aspx?sf=142998/452976/0794b0783bbc0c14ecd31271c8fa33ed.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><br> </p> <p><a href="/view.aspx?sf=142998/452976/NextZero1.mw">Download NextZero1.mw</a></p> <form name="worksheet_form"><input type="hidden" name="sequence" value="1"> <input type="hidden" name="cmd" value="none"></form> <p>&nbsp;</p> <p><br> </p> <form name="worksheet_form"> <table style="width: 576px;" align="center"> <tbody> <tr> <td> <table style="margin-left: 0px; margin-right: 0px;"> <tbody> <tr valign="baseline"> <td><span style="color: #ff0000; font-size: 100%; font-family: Courier New,monospace; font-weight: bold; font-style: normal;"> &gt;&nbsp;</span></td> <td> <p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="left"><img style="vertical-align: -6;" src="/view.aspx?sf=142998/452976/f0d9b39806e1042609cead7b3e692a96.gif" alt="x := Array(0 .. 10):" width="124" height="23"><img style="vertical-align: -6;" src="/view.aspx?sf=142998/452976/95eee2d9cb89aa9826e3449754f560ce.gif" alt="with(RootFinding):" width="132" height="23"></p> </td> </tr> </tbody> </table> <table style="margin-left: 0px; margin-right: 0px;"> <tbody> <tr valign="baseline"> <td><span style="color: #ff0000; font-size: 100%; font-family: Courier New,monospace; font-weight: bold; font-style: normal;"> &gt;&nbsp;</span></td> <td> <p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="left"><img style="vertical-align: -11;" src="/view.aspx?sf=142998/452976/21bad8584d49421cf8c782dae9696d64.gif" alt="x[0] := NextZero(proc (x) options operator, arrow; sin(x) end proc, -1);" width="195" height="28"></p> </td> </tr> </tbody> </table> <table> <tbody> <tr valign="baseline"> <td> <p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="center"><img style="vertical-align: -11;" src="/view.aspx?sf=142998/452976/f5d62613f3f301d30a9df36db3747758.gif" alt="0." width="49" height="28"></p> </td> <td style="color: #000000; font-family: Times, serif; font-weight: bold; font-style: normal;" align="right">(1)</td> </tr> </tbody> </table> <table style="margin-left: 0px; margin-right: 0px;"> <tbody> <tr valign="baseline"> <td><span style="color: #ff0000; font-size: 100%; font-family: Courier New,monospace; font-weight: bold; font-style: normal;"> &gt;&nbsp;</span></td> <td> <p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="left"><img style="vertical-align: -6;" src="/view.aspx?sf=142998/452976/9913b7baf33dfe525bb3311849e9505d.gif" alt="for j to 10 do x[j] := NextZero(proc (x) options operator, arrow; sin(x) end proc, x[j-1]) end do;" width="417" height="23"></p> </td> </tr> </tbody> </table> <table> <tbody> <tr valign="baseline"> <td> <p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="center"><img style="vertical-align: -11;" src="/view.aspx?sf=142998/452976/824c2255b76683f1e7348bd91e330a06.gif" alt="3.141592653" width="116" height="28"></p> </td> <td style="color: #000000; font-family: Times, serif; font-weight: bold; font-style: normal;" align="right">&nbsp;</td> </tr> </tbody> </table> <table> <tbody> <tr valign="baseline"> <td> <p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="center"><img style="vertical-align: -11;" src="/view.aspx?sf=142998/452976/b7e29d93da597aa17bb8ca32f7253e09.gif" alt="6.283185307" width="116" height="28"></p> </td> <td style="color: #000000; font-family: Times, serif; font-weight: bold; font-style: normal;" align="right">&nbsp;</td> </tr> </tbody> </table> <table> <tbody> <tr valign="baseline"> <td> <p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="center"><img style="vertical-align: -11;" src="/view.aspx?sf=142998/452976/d1f307624d8376993cb8bb09c8822c9f.gif" alt="9.424777960" width="116" height="28"></p> </td> <td style="color: #000000; font-family: Times, serif; font-weight: bold; font-style: normal;" align="right">&nbsp;</td> </tr> </tbody> </table> <table> <tbody> <tr valign="baseline"> <td> <p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="center"><img style="vertical-align: -11;" src="/view.aspx?sf=142998/452976/7abd260b903a8528681a72a1fc5cd24d.gif" alt="12.56637061" width="116" height="28"></p> </td> <td style="color: #000000; font-family: Times, serif; font-weight: bold; font-style: normal;" align="right">&nbsp;</td> </tr> </tbody> </table> <table> <tbody> <tr valign="baseline"> <td> <p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="center"><img style="vertical-align: -11;" src="/view.aspx?sf=142998/452976/e505426f5bcff404741c024ee3f4f4c5.gif" alt="15.70796326" width="116" height="28"></p> </td> <td style="color: #000000; font-family: Times, serif; font-weight: bold; font-style: normal;" align="right">&nbsp;</td> </tr> </tbody> </table> <table> <tbody> <tr valign="baseline"> <td> <p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="center"><img style="vertical-align: -11;" src="/view.aspx?sf=142998/452976/91efdec3ed598b29a0420f20a6cf5861.gif" alt="18.84955592" width="116" height="28"></p> </td> <td style="color: #000000; font-family: Times, serif; font-weight: bold; font-style: normal;" align="right">&nbsp;</td> </tr> </tbody> </table> <table> <tbody> <tr valign="baseline"> <td> <p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="center"><img style="vertical-align: -11;" src="/view.aspx?sf=142998/452976/5e091fed9f852878280c5b3af2061e6f.gif" alt="21.99114857" width="116" height="28"></p> </td> <td style="color: #000000; font-family: Times, serif; font-weight: bold; font-style: normal;" align="right">&nbsp;</td> </tr> </tbody> </table> <table> <tbody> <tr valign="baseline"> <td> <p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="center"><img style="vertical-align: -11;" src="/view.aspx?sf=142998/452976/f0e75d7d493290bf22d02970706367b2.gif" alt="25.13274122" width="116" height="28"></p> </td> <td style="color: #000000; font-family: Times, serif; font-weight: bold; font-style: normal;" align="right">&nbsp;</td> </tr> </tbody> </table> <table> <tbody> <tr valign="baseline"> <td> <p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="center"><img style="vertical-align: -11;" src="/view.aspx?sf=142998/452976/d1221308e6479ad0ab98f1b48be7cd41.gif" alt="28.27433388" width="116" height="28"></p> </td> <td style="color: #000000; font-family: Times, serif; font-weight: bold; font-style: normal;" align="right">&nbsp;</td> </tr> </tbody> </table> <table> <tbody> <tr valign="baseline"> <td> <p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="center"><img style="vertical-align: -11;" src="/view.aspx?sf=142998/452976/9c8c2b79844393c6a7066d72469a5aa0.gif" alt="31.41592653" width="122" height="28"></p> </td> <td style="color: #000000; font-family: Times, serif; font-weight: bold; font-style: normal;" align="right">(2)</td> </tr> </tbody> </table> <table style="margin-left: 0px; margin-right: 0px;"> <tbody> <tr valign="baseline"> <td><span style="color: #ff0000; font-size: 100%; font-family: Courier New,monospace; font-weight: bold; font-style: normal;"> &gt;&nbsp;</span></td> <td> <p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="left"><img style="vertical-align: -6;" src="/view.aspx?sf=142998/452976/84a741d0240670e50c4f3efa2ccb25c1.gif" alt="x" width="12" height="23"></p> </td> </tr> </tbody> </table> <table> <tbody> <tr valign="baseline"> <td> <p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="center"><img style="vertical-align: -46;" src="/view.aspx?sf=142998/452976/a461fe295a6aaa165ac382fca90967c4.gif" alt="RTABLE(294104104, anything, Array, rectangular, Fortran_order, [], 1, 0 .. 10)" width="160" height="103"></p> </td> <td style="color: #000000; font-family: Times, serif; font-weight: bold; font-style: normal;" align="right">(3)</td> </tr> </tbody> </table> <table style="margin-left: 0px; margin-right: 0px;"> <tbody> <tr valign="baseline"> <td><span style="color: #ff0000; font-size: 100%; font-family: Courier New,monospace; font-weight: bold; font-style: normal;"> &gt;&nbsp;</span></td> <td> <p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="left"><img style="vertical-align: -6;" src="/view.aspx?sf=142998/452976/57f0d42460a37c0d7e289e466a942637.gif" alt="``" width="11" height="23"></p> </td> </tr> </tbody> </table> <table style="margin-left: 0px; margin-right: 0px;"> <tbody> <tr valign="baseline"> <td><span style="color: #ff0000; font-size: 100%; font-family: Courier New,monospace; font-weight: bold; font-style: normal;"> &gt;&nbsp;</span></td> <td> <p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="left"><img style="vertical-align: -6;" src="/view.aspx?sf=142998/452976/f448cb15136fc520b95557c193c1d98a.gif" alt="``" width="11" height="23"></p> </td> </tr> </tbody> </table> <p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="left"><img style="vertical-align: -6;" src="/view.aspx?sf=142998/452976/0794b0783bbc0c14ecd31271c8fa33ed.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><br> </p> <p><a href="/view.aspx?sf=142998/452976/NextZero1.mw">Download NextZero1.mw</a></p> <form name="worksheet_form"><input type="hidden" name="sequence" value="1"> <input type="hidden" name="cmd" value="none"></form> <p>&nbsp;</p> 142998 Sun, 03 Feb 2013 02:59:36 Z Markiyan Hirnyk Markiyan Hirnyk