topic What is the reason for this error in the answer? in Mathcad https://www.ptcusercommunity.com/t5/Mathcad/What-is-the-reason-for-this-error-in-the-answer/m-p/282380#M110333 <HTML><HEAD></HEAD><BODY><P>Basically the answer should be a perfect zero (according to theory and also verified through hand calculation), so why this software is giving such high error.</P><P>Please tell me if I am doing something <SPAN style="font-size: 13.3333px;">wrong as soon as possible.</SPAN></P><P><IMG alt="Capture.PNG" class="jive-image image-1" src="https://community.ptc.com/legacyfs/online/99846_Capture.PNG" style="font-size: 13.3333px;" /></P></BODY></HTML> Thu, 03 May 2018 14:34:59 GMT dkothia 2018-05-03T14:34:59Z What is the reason for this error in the answer? https://www.ptcusercommunity.com/t5/Mathcad/What-is-the-reason-for-this-error-in-the-answer/m-p/282380#M110333 Basically the answer should be a perfect zero (according to theory and also verified through hand calculation), so why this software is giving such high error.Please tell me if I am doing something wrong as soon as possible. Thu, 03 May 2018 14:34:59 GMT https://www.ptcusercommunity.com/t5/Mathcad/What-is-the-reason-for-this-error-in-the-answer/m-p/282380#M110333 dkothia 2018-05-03T14:34:59Z Re: What is the reason for this error in the answer? https://www.ptcusercommunity.com/t5/Mathcad/What-is-the-reason-for-this-error-in-the-answer/m-p/282381#M110334 <HTML><HEAD></HEAD><BODY><P>Because you are numerically evaluating the integral</P><P>The precision with which Mathcad calculates numerical evaluation is in the order of 10^-17.</P><P>You're doing nothing wrong. You could set the 'zero tolerance' of numerical calculation to a higher value (e.g. 10^-10) this would show all numbers x with |x|&lt;10^-10 as 0. But it would obscure results that are actually meant to be e.g. 10^-12.</P><P></P><P>Success!</P><P>Luc</P></BODY></HTML> Wed, 30 Mar 2016 19:38:22 GMT https://www.ptcusercommunity.com/t5/Mathcad/What-is-the-reason-for-this-error-in-the-answer/m-p/282381#M110334 LucMeekes 2016-03-30T19:38:22Z Re: What is the reason for this error in the answer? https://www.ptcusercommunity.com/t5/Mathcad/What-is-the-reason-for-this-error-in-the-answer/m-p/282382#M110335 <HTML><HEAD></HEAD><BODY><P>It's numerical evaluation precision error.&nbsp; (10^-17 is a large error?)</P><P></P><P>Symbolic evaluation gives you zero:</P><P><IMG class="jive-image image-1" src="https://community.ptc.com/legacyfs/online/99847_pastedImage_0.png" style="max-height: 900px; max-width: 1200px;" /></P></BODY></HTML> Wed, 30 Mar 2016 19:43:41 GMT https://www.ptcusercommunity.com/t5/Mathcad/What-is-the-reason-for-this-error-in-the-answer/m-p/282382#M110335 Fred_Kohlhepp 2016-03-30T19:43:41Z Re: What is the reason for this error in the answer? https://www.ptcusercommunity.com/t5/Mathcad/What-is-the-reason-for-this-error-in-the-answer/m-p/282383#M110336 <HTML><HEAD></HEAD><BODY><P>Then what is the solution to this problem, is there any other software with high tolerance value?</P></BODY></HTML> Wed, 30 Mar 2016 19:45:03 GMT https://www.ptcusercommunity.com/t5/Mathcad/What-is-the-reason-for-this-error-in-the-answer/m-p/282383#M110336 dkothia 2016-03-30T19:45:03Z Re: What is the reason for this error in the answer? https://www.ptcusercommunity.com/t5/Mathcad/What-is-the-reason-for-this-error-in-the-answer/m-p/282384#M110337 <HTML><HEAD></HEAD><BODY><P>Yaa..thank bro..drinks on me <IMG src="https://community.ptc.com/legacyfs/online/emoticons/silly.png" /></P></BODY></HTML> Wed, 30 Mar 2016 19:47:54 GMT https://www.ptcusercommunity.com/t5/Mathcad/What-is-the-reason-for-this-error-in-the-answer/m-p/282384#M110337 dkothia 2016-03-30T19:47:54Z Re: What is the reason for this error in the answer? https://www.ptcusercommunity.com/t5/Mathcad/What-is-the-reason-for-this-error-in-the-answer/m-p/282385#M110338 <HTML><HEAD></HEAD><BODY><P>Just change the result formatting from "General" to "Decimal":</P><P><IMG alt="" class="jive-image image-1" src="https://community.ptc.com/legacyfs/online/99848_pastedImage_0.png" style="max-width: 1200px; max-height: 900px;" /></P></BODY></HTML> Wed, 30 Mar 2016 20:34:48 GMT https://www.ptcusercommunity.com/t5/Mathcad/What-is-the-reason-for-this-error-in-the-answer/m-p/282385#M110338 MJG 2016-03-30T20:34:48Z Re: What is the reason for this error in the answer? https://www.ptcusercommunity.com/t5/Mathcad/What-is-the-reason-for-this-error-in-the-answer/m-p/282386#M110339 <HTML><HEAD></HEAD><BODY><P>This is not a 'problem'. Just be aware that all calculations go with a certain uncertainty/accuracy.</P><P>Simply calculate 1/2-1/3-1/6 and see what comes out.Mathcad will tell you:</P><P><IMG __jive_id="99851" alt="" class="jive-image image-1" src="https://community.ptc.com/legacyfs/online/99851_pastedImage_0.png" style="max-width: 1200px; max-height: 900px;" /></P><P>MsExcell will tell you 0, until you multiply the result with 10^18, then it spits out 27.76</P><P></P><P>If you want exact answers, use a symbolic engine (Mathcad, Maple, Mathematica, Maxima).</P><P></P><P>Success!<BR />Luc</P><P></P><P>P.S. If you want to know why the 'error' is in the order of 10^-17, have a look at:</P><P><A href="https://www.ptcusercommunity.com/thread/135277">Numerical Precision in MathCAD</A></P></BODY></HTML> Wed, 30 Mar 2016 21:32:12 GMT https://www.ptcusercommunity.com/t5/Mathcad/What-is-the-reason-for-this-error-in-the-answer/m-p/282386#M110339 LucMeekes 2016-03-30T21:32:12Z