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From: SourceForge.net <noreply@so...>  20080807 21:12:24

Bugs item #1944012, was opened at 20080416 10:07 Message generated for change (Comment added) made by rtoy You can respond by visiting: https://sourceforge.net/tracker/?func=detail&atid=104933&aid=1944012&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() fails depending on equation order Initial Comment: Maxima version: 5.14.0 OS: Windows XP SP2 Name: Bob Walton (note: setting up a SourceForge account apparently isn't working, so I couldn't log in) Email: http://bwalton.com/cgibin/emailbob.pl Problem: q1:2*x3; q2:96*z^2+48*z+32*y^2+9; q3:48*z^216*z17; solve([q1,q2,q3],[x,y,z]); generates: [] which is incorrect. Whereas: solve([q1,q3,q2],[x,y,z]); generates the correct answer: [[ x = 3/2, y = sqrt(674*sqrt(55))/(4*sqrt(6)), z = (sqrt(55)+2)/12 ], [ x = 3/2, y = sqrt(674*sqrt(55))/(4*sqrt(6)), z = (sqrt(55)+2)/12 ], [ x = 3/2, y = sqrt(4*sqrt(55)+67)/(4*sqrt(6)), z = (sqrt(55)2)/12 ],[ x = 3/2, y = sqrt(4*sqrt(55)+67)/(4*sqrt(6)), z = (sqrt(55)2)/12 ]] This problem arose when using solve() on the results of poly_grobner  generally solve() works directly on the output of poly_grobner, but not in this particular case.  >Comment By: Raymond Toy (rtoy) Date: 20080807 17:12 Message: Logged In: YES user_id=28849 Originator: NO If I rectform(%o9), I get results that match the Mupad results. When I substitute maxima's (original) solution into the equations, I get something rather messy, but ratsimp produces [1 = 1, 0 = 0, 5 = 5].  Comment By: Nobody/Anonymous (nobody) Date: 20080807 16:18 Message: Logged In: NO This is very interesting. I plugged in Richard Rand's example from the Introduction to Maxima page: c = (%i6) a + b*c = 1; (%o6) b c + a = 1 (%i7) b  a*c = 0; (%o7) b  a c = 0 (%i8) a + b = 5; (%o8) b + a = 5 (%i9) solve ([%o6, %o7, %o8], [a, b, c]); 25 sqrt(79) %i + 25 5 sqrt(79) %i + 5 (%o9) [[a = , b = , 6 sqrt(79) %i  34 sqrt(79) %i + 11 sqrt(79) %i + 1 25 sqrt(79) %i  25 c = ], [a = , 10 6 sqrt(79) %i + 34 5 sqrt(79) %i  5 sqrt(79) %i  1 b = , c =  ]] sqrt(79) %i  11 10 I tried the same solve in MUPAD getting this: solve({a+b*c=1,ba*c=0,a+b=5},[a,b,c]) 1/2 1/2 1/2 {[a = 11/4  1/4 I 79 , b = 1/4 I 79 + 9/4, c = 1/10 I 79 + 1/10], 1/2 1/2 1/2 [a = 1/4 I 79 + 11/4, b = 9/4  1/4 I 79 , c = 1/10  1/10 I 79 ] } which is quite different than Maxima's results. I tried plugging in Maxima's solutions back into the equations and they failed to solve the equations. I then tried MUPAD's solutions in each equation and got the expected answer. Having had a look at this report, I tried using solve with different permutations of the equation set and each time a different solution set resulted. There is something very funky going on with this function.  You can respond by visiting: https://sourceforge.net/tracker/?func=detail&atid=104933&aid=1944012&group_id=4933 
From: SourceForge.net <noreply@so...>  20080807 20:18:35

Bugs item #1944012, was opened at 20080416 14:07 Message generated for change (Comment added) made by nobody You can respond by visiting: https://sourceforge.net/tracker/?func=detail&atid=104933&aid=1944012&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() fails depending on equation order Initial Comment: Maxima version: 5.14.0 OS: Windows XP SP2 Name: Bob Walton (note: setting up a SourceForge account apparently isn't working, so I couldn't log in) Email: http://bwalton.com/cgibin/emailbob.pl Problem: q1:2*x3; q2:96*z^2+48*z+32*y^2+9; q3:48*z^216*z17; solve([q1,q2,q3],[x,y,z]); generates: [] which is incorrect. Whereas: solve([q1,q3,q2],[x,y,z]); generates the correct answer: [[ x = 3/2, y = sqrt(674*sqrt(55))/(4*sqrt(6)), z = (sqrt(55)+2)/12 ], [ x = 3/2, y = sqrt(674*sqrt(55))/(4*sqrt(6)), z = (sqrt(55)+2)/12 ], [ x = 3/2, y = sqrt(4*sqrt(55)+67)/(4*sqrt(6)), z = (sqrt(55)2)/12 ],[ x = 3/2, y = sqrt(4*sqrt(55)+67)/(4*sqrt(6)), z = (sqrt(55)2)/12 ]] This problem arose when using solve() on the results of poly_grobner  generally solve() works directly on the output of poly_grobner, but not in this particular case.  Comment By: Nobody/Anonymous (nobody) Date: 20080807 20:18 Message: Logged In: NO This is very interesting. I plugged in Richard Rand's example from the Introduction to Maxima page: c = (%i6) a + b*c = 1; (%o6) b c + a = 1 (%i7) b  a*c = 0; (%o7) b  a c = 0 (%i8) a + b = 5; (%o8) b + a = 5 (%i9) solve ([%o6, %o7, %o8], [a, b, c]); 25 sqrt(79) %i + 25 5 sqrt(79) %i + 5 (%o9) [[a = , b = , 6 sqrt(79) %i  34 sqrt(79) %i + 11 sqrt(79) %i + 1 25 sqrt(79) %i  25 c = ], [a = , 10 6 sqrt(79) %i + 34 5 sqrt(79) %i  5 sqrt(79) %i  1 b = , c =  ]] sqrt(79) %i  11 10 I tried the same solve in MUPAD getting this: solve({a+b*c=1,ba*c=0,a+b=5},[a,b,c]) 1/2 1/2 1/2 {[a = 11/4  1/4 I 79 , b = 1/4 I 79 + 9/4, c = 1/10 I 79 + 1/10], 1/2 1/2 1/2 [a = 1/4 I 79 + 11/4, b = 9/4  1/4 I 79 , c = 1/10  1/10 I 79 ] } which is quite different than Maxima's results. I tried plugging in Maxima's solutions back into the equations and they failed to solve the equations. I then tried MUPAD's solutions in each equation and got the expected answer. Having had a look at this report, I tried using solve with different permutations of the equation set and each time a different solution set resulted. There is something very funky going on with this function.  You can respond by visiting: https://sourceforge.net/tracker/?func=detail&atid=104933&aid=1944012&group_id=4933 
From: SourceForge.net <noreply@so...>  20080807 19:33:05

Bugs item #2042069, was opened at 20080807 19:33 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=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.  You can respond by visiting: https://sourceforge.net/tracker/?func=detail&atid=104933&aid=2042069&group_id=4933 
From: SourceForge.net <noreply@so...>  20080807 05:16:39

Bugs item #2041214, was opened at 20080807 05:16 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=2041214&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: unable solve Initial Comment: solve([x+y=1,sqrt(x+1)=1],[x,y]) returns [] Maxima version: 5.15.0Maxima build date: 17:36 4/20/2008host type: i686pcmingw32lispimplementationtype: GNU Common Lisp (GCL)lispimplementationversion: GCL 2.6.8  You can respond by visiting: https://sourceforge.net/tracker/?func=detail&atid=104933&aid=2041214&group_id=4933 