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From: SourceForge.net <noreply@so...>  20081014 21:19:36

Bugs item #2158174, was opened at 20081010 17:10 Message generated for change (Comment added) made by dgildea You can respond by visiting: https://sourceforge.net/tracker/?func=detail&atid=104933&aid=2158174&group_id=4933 Please note that this message will contain a full copy of the comment thread, including the initial issue submission, for this request, not just the latest update. Category: Lisp Core  Limit Group: None >Status: Closed >Resolution: Fixed Priority: 5 Private: No Submitted By: The Henman (rvh2007) >Assigned to: Dan Gildea (dgildea) Summary: Bug in Limit of a function Initial Comment: Try (%i1) kill(all); (eq0) done (%i1) assume_pos:true; (eq1) true (%i2) (declare(n,integer),assume(sigma>0,equal(n1, 0))); (eq2) [sigma>0,equal(n,1)] (%i3) f(x):=(sqrt(2)/(2*sqrt(%pi)*sqrt(sigma)))*exp((x^2/(2*sigma))); (eq3) f(x):=sqrt(2)/(2*sqrt(%pi)*sqrt(sigma))*exp(x^2/(2*sigma)) (%i4) integrate(f(x),x,minf,inf); (eq4) 1 (%i5) integrate(x^2*f(x), x, minf, inf)(integrate(x*f(x), x, minf, inf))^2; (eq5) sigma (%i6) integrate(x*f(a*xb^2),x,minf,inf); (eq6) b^2/a^2 (%i7) limit(integrate((a*x^3+b*x^2+c*x+d)*f(x^n), x, minf, inf), sigma,0); (eq7) 0 (%i8) limit(integrate((a*x^3+b*x^2+c*x+d)*f(x), x, minf, inf), sigma,0); (eq8) d Output 7 is 0 and output 8 is d. They can't both be right since input 2 declares n=1, so they are equivilent. Rich Hennessy Maxima version: 5.16.3 Maxima build date: 22:48 8/24/2008 host type: i686pcmingw32 lispimplementationtype: GNU Common Lisp (GCL) lispimplementationversion: GCL 2.6.8  >Comment By: Dan Gildea (dgildea) Date: 20081014 17:19 Message: Duplicate of [ 707253 ] limit(x^y,x,0) (y=0) => 0. Fixed in simp.lisp 1.58 and limit.lisp 1.56.  You can respond by visiting: https://sourceforge.net/tracker/?func=detail&atid=104933&aid=2158174&group_id=4933 
From: SourceForge.net <noreply@so...>  20081014 21:17:56

Bugs item #707253, was opened at 20030320 19:48 Message generated for change (Comment added) made by dgildea You can respond by visiting: https://sourceforge.net/tracker/?func=detail&atid=104933&aid=707253&group_id=4933 Please note that this message will contain a full copy of the comment thread, including the initial issue submission, for this request, not just the latest update. Category: Lisp Core  Limit Group: None >Status: Closed >Resolution: Fixed Priority: 5 Private: No Submitted By: Stavros Macrakis (macrakis) >Assigned to: Dan Gildea (dgildea) Summary: limit(x^y,x,0) (y=0) => 0 Initial Comment: limit(x^y,x,0) Is y pnz? zero => 0 This should be 1! Why? Because the question is asking about a property of y which is independent of x. That is, we fix y=0 and THEN take the limit. With y=0, x^y=1 for all nonzero x, and so limit(x^y,x,0)=1. Tlimit also gets this wrong.  >Comment By: Dan Gildea (dgildea) Date: 20081014 17:17 Message: Fixed in simp.lisp 1.58 and limit.lisp 1.56.  You can respond by visiting: https://sourceforge.net/tracker/?func=detail&atid=104933&aid=707253&group_id=4933 
From: SourceForge.net <noreply@so...>  20081014 14:14:35

Bugs item #2166223, was opened at 20081014 14:14 Message generated for change (Tracker Item Submitted) made by Item Submitter You can respond by visiting: https://sourceforge.net/tracker/?func=detail&atid=104933&aid=2166223&group_id=4933 Please note that this message will contain a full copy of the comment thread, including the initial issue submission, for this request, not just the latest update. Category: None Group: None Status: Open Resolution: None Priority: 5 Private: No Submitted By: Nobody/Anonymous (nobody) Assigned to: Nobody/Anonymous (nobody) Summary: is(ind<1) gives error Initial Comment: is(ind<1) gives an error: The sign of ind is undefined  an error. To debug this try debugmode(true); It should give <unknown>. Maxima 5.15.0 http://maxima.sourceforge.net Using Lisp GNU Common Lisp (GCL) GCL 2.6.8 (aka GCL)  You can respond by visiting: https://sourceforge.net/tracker/?func=detail&atid=104933&aid=2166223&group_id=4933 
From: SourceForge.net <noreply@so...>  20081014 10:42:31

Bugs item #2042069, was opened at 20080807 19:33 Message generated for change (Comment added) made by nobody You can respond by visiting: https://sourceforge.net/tracker/?func=detail&atid=104933&aid=2042069&group_id=4933 Please note that this message will contain a full copy of the comment thread, including the initial issue submission, for this request, not just the latest update. Category: Lisp Core  Solving equations Group: None Status: Open Resolution: None Priority: 5 Private: No Submitted By: Nobody/Anonymous (nobody) Assigned to: Nobody/Anonymous (nobody) Summary: solve solves in terms of the solve variable Initial Comment: I entered the following function definitions: N(a,b,g):=sqrt((g+a+sqrt((ga)^2+b^2))/2); n(a,b,g,mr,mi):=sqrt((mr^2+mi^2)N(a,b,g)^2mi(mr bmi a))/mr; and tried to solve the equation in terms of g: solve(n(a,b,g,mr,mi)^2=g,g); the result was [g=(a*(mr^2+3*mi^2)+sqrt(g^22*a*g+b^2+a^2)*(mr^2+mi^2)2*b*mi*mr)/(mi^2mr^2)] The problem is that the solution involves g. I know there are solutions, because Mathematica could find 4 of them in terms of a, b, mr, and mi only.  Comment By: Nobody/Anonymous (nobody) Date: 20081014 09:09 Message: I don't know if it is related, but I have a much simpler example of the same behaviour : (%i14) solve( [e^x=0],[x] ); (%o14) [e^x=0] but (%i15) solve( [e^(x)=0],[x] ); (%o15) [] The latter is correct.  You can respond by visiting: https://sourceforge.net/tracker/?func=detail&atid=104933&aid=2042069&group_id=4933 