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From: SourceForge.net <noreply@so...>  20071109 19:58:47

Bugs item #1828956, was opened at 20071109 08:14 Message generated for change (Comment added) made by vttoth You can respond by visiting: https://sourceforge.net/tracker/?func=detail&atid=104933&aid=1828956&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  Integration Group: None Status: Open Resolution: Accepted Priority: 5 Private: No Submitted By: Jan Fricke (matheschlumpf) Assigned to: Nobody/Anonymous (nobody) Summary: Integration yields wrong results Initial Comment: I want to integrate the function arccos(x/l) + arccos(y/l)  pi/2  2 pi over the quartercircle with radius l>0. The correct result is l^2/(4pi). A direct calculation with Maxima (Ver. 5.10.0, debian lenny) gives l^2/(8pi). If I only integrate the function arccos(x/l), then I should get (pi*l/4)^2 + (l/2)^2, but I get 2 2 l false 4 l false  %pi l    4 16 Best wishes Jan  >Comment By: Viktor Toth (vttoth) Date: 20071109 14:58 Message: Logged In: YES user_id=1023504 Originator: NO I think the problem is demonstrated by how Maxima simplifies acos(sqrt(l^2x^2)/l)asin(x/l), as in the following example: assume(l>0); acos(sqrt(l^2x^2)/l)asin(x/l); integrate(%,x,0,l); sqrt(l^2x^2)*acos(sqrt(l^2x^2)/l)sqrt(l^2x^2)*asin(x/l); integrate(%,x,0,l); Viktor  Comment By: Raymond Toy (rtoy) Date: 20071109 12:49 Message: Logged In: YES user_id=28849 Originator: NO Thank you very much for the session logs. I now see what you're doing and maxima is definitely wrong.  Comment By: Raymond Toy (rtoy) Date: 20071109 12:17 Message: Logged In: YES user_id=28849 Originator: NO Several issues here. First, you probably wanted acos, not arccos. Second pi is written %pi in maxima. You didn't mention what integrate command was used. Please be more explicit. Also, 5.10.0 is quite old. If possible, try the 5.13.0 release. Marking this as pending and invalid.  Comment By: Jan Fricke (matheschlumpf) Date: 20071109 12:06 Message: Logged In: YES user_id=810809 Originator: YES I typed all things correctly and attached a session log as file. For the clearness of the (mathematical) problem I described it firstly in "standard notation". I also tried the 5.13.0 result with the same (wrong) result and append now again a session log. Best wishes, Jan File Added: maxima5.13.0.log  Comment By: Raymond Toy (rtoy) Date: 20071109 11:38 Message: Logged In: YES user_id=28849 Originator: NO Several issues here. First, you probably wanted acos, not arccos. Second pi is written %pi in maxima. You didn't mention what integrate command was used. Please be more explicit. Also, 5.10.0 is quite old. If possible, try the 5.13.0 release. Marking this as pending and invalid.  You can respond by visiting: https://sourceforge.net/tracker/?func=detail&atid=104933&aid=1828956&group_id=4933 
From: SourceForge.net <noreply@so...>  20071109 17:49:02

Bugs item #1828956, was opened at 20071109 08:14 Message generated for change (Comment added) made by rtoy You can respond by visiting: https://sourceforge.net/tracker/?func=detail&atid=104933&aid=1828956&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  Integration Group: None >Status: Open >Resolution: Accepted Priority: 5 Private: No Submitted By: Jan Fricke (matheschlumpf) Assigned to: Nobody/Anonymous (nobody) Summary: Integration yields wrong results Initial Comment: I want to integrate the function arccos(x/l) + arccos(y/l)  pi/2  2 pi over the quartercircle with radius l>0. The correct result is l^2/(4pi). A direct calculation with Maxima (Ver. 5.10.0, debian lenny) gives l^2/(8pi). If I only integrate the function arccos(x/l), then I should get (pi*l/4)^2 + (l/2)^2, but I get 2 2 l false 4 l false  %pi l    4 16 Best wishes Jan  >Comment By: Raymond Toy (rtoy) Date: 20071109 12:49 Message: Logged In: YES user_id=28849 Originator: NO Thank you very much for the session logs. I now see what you're doing and maxima is definitely wrong.  Comment By: Raymond Toy (rtoy) Date: 20071109 12:17 Message: Logged In: YES user_id=28849 Originator: NO Several issues here. First, you probably wanted acos, not arccos. Second pi is written %pi in maxima. You didn't mention what integrate command was used. Please be more explicit. Also, 5.10.0 is quite old. If possible, try the 5.13.0 release. Marking this as pending and invalid.  Comment By: Jan Fricke (matheschlumpf) Date: 20071109 12:06 Message: Logged In: YES user_id=810809 Originator: YES I typed all things correctly and attached a session log as file. For the clearness of the (mathematical) problem I described it firstly in "standard notation". I also tried the 5.13.0 result with the same (wrong) result and append now again a session log. Best wishes, Jan File Added: maxima5.13.0.log  Comment By: Raymond Toy (rtoy) Date: 20071109 11:38 Message: Logged In: YES user_id=28849 Originator: NO Several issues here. First, you probably wanted acos, not arccos. Second pi is written %pi in maxima. You didn't mention what integrate command was used. Please be more explicit. Also, 5.10.0 is quite old. If possible, try the 5.13.0 release. Marking this as pending and invalid.  You can respond by visiting: https://sourceforge.net/tracker/?func=detail&atid=104933&aid=1828956&group_id=4933 
From: SourceForge.net <noreply@so...>  20071109 17:17:47

Bugs item #1828956, was opened at 20071109 08:14 Message generated for change (Comment added) made by rtoy You can respond by visiting: https://sourceforge.net/tracker/?func=detail&atid=104933&aid=1828956&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  Integration Group: None >Status: Pending Resolution: Invalid Priority: 5 Private: No Submitted By: Jan Fricke (matheschlumpf) Assigned to: Nobody/Anonymous (nobody) Summary: Integration yields wrong results Initial Comment: I want to integrate the function arccos(x/l) + arccos(y/l)  pi/2  2 pi over the quartercircle with radius l>0. The correct result is l^2/(4pi). A direct calculation with Maxima (Ver. 5.10.0, debian lenny) gives l^2/(8pi). If I only integrate the function arccos(x/l), then I should get (pi*l/4)^2 + (l/2)^2, but I get 2 2 l false 4 l false  %pi l    4 16 Best wishes Jan  >Comment By: Raymond Toy (rtoy) Date: 20071109 12:17 Message: Logged In: YES user_id=28849 Originator: NO Several issues here. First, you probably wanted acos, not arccos. Second pi is written %pi in maxima. You didn't mention what integrate command was used. Please be more explicit. Also, 5.10.0 is quite old. If possible, try the 5.13.0 release. Marking this as pending and invalid.  Comment By: Jan Fricke (matheschlumpf) Date: 20071109 12:06 Message: Logged In: YES user_id=810809 Originator: YES I typed all things correctly and attached a session log as file. For the clearness of the (mathematical) problem I described it firstly in "standard notation". I also tried the 5.13.0 result with the same (wrong) result and append now again a session log. Best wishes, Jan File Added: maxima5.13.0.log  Comment By: Raymond Toy (rtoy) Date: 20071109 11:38 Message: Logged In: YES user_id=28849 Originator: NO Several issues here. First, you probably wanted acos, not arccos. Second pi is written %pi in maxima. You didn't mention what integrate command was used. Please be more explicit. Also, 5.10.0 is quite old. If possible, try the 5.13.0 release. Marking this as pending and invalid.  You can respond by visiting: https://sourceforge.net/tracker/?func=detail&atid=104933&aid=1828956&group_id=4933 
From: SourceForge.net <noreply@so...>  20071109 17:06:34

Bugs item #1828956, was opened at 20071109 13:14 Message generated for change (Comment added) made by matheschlumpf You can respond by visiting: https://sourceforge.net/tracker/?func=detail&atid=104933&aid=1828956&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  Integration Group: None >Status: Open Resolution: Invalid Priority: 5 Private: No Submitted By: Jan Fricke (matheschlumpf) Assigned to: Nobody/Anonymous (nobody) Summary: Integration yields wrong results Initial Comment: I want to integrate the function arccos(x/l) + arccos(y/l)  pi/2  2 pi over the quartercircle with radius l>0. The correct result is l^2/(4pi). A direct calculation with Maxima (Ver. 5.10.0, debian lenny) gives l^2/(8pi). If I only integrate the function arccos(x/l), then I should get (pi*l/4)^2 + (l/2)^2, but I get 2 2 l false 4 l false  %pi l    4 16 Best wishes Jan  >Comment By: Jan Fricke (matheschlumpf) Date: 20071109 17:06 Message: Logged In: YES user_id=810809 Originator: YES I typed all things correctly and attached a session log as file. For the clearness of the (mathematical) problem I described it firstly in "standard notation". I also tried the 5.13.0 result with the same (wrong) result and append now again a session log. Best wishes, Jan File Added: maxima5.13.0.log  Comment By: Raymond Toy (rtoy) Date: 20071109 16:38 Message: Logged In: YES user_id=28849 Originator: NO Several issues here. First, you probably wanted acos, not arccos. Second pi is written %pi in maxima. You didn't mention what integrate command was used. Please be more explicit. Also, 5.10.0 is quite old. If possible, try the 5.13.0 release. Marking this as pending and invalid.  You can respond by visiting: https://sourceforge.net/tracker/?func=detail&atid=104933&aid=1828956&group_id=4933 
From: SourceForge.net <noreply@so...>  20071109 16:38:12

Bugs item #1828956, was opened at 20071109 08:14 Message generated for change (Comment added) made by rtoy You can respond by visiting: https://sourceforge.net/tracker/?func=detail&atid=104933&aid=1828956&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  Integration Group: None >Status: Pending >Resolution: Invalid Priority: 5 Private: No Submitted By: Jan Fricke (matheschlumpf) Assigned to: Nobody/Anonymous (nobody) Summary: Integration yields wrong results Initial Comment: I want to integrate the function arccos(x/l) + arccos(y/l)  pi/2  2 pi over the quartercircle with radius l>0. The correct result is l^2/(4pi). A direct calculation with Maxima (Ver. 5.10.0, debian lenny) gives l^2/(8pi). If I only integrate the function arccos(x/l), then I should get (pi*l/4)^2 + (l/2)^2, but I get 2 2 l false 4 l false  %pi l    4 16 Best wishes Jan  >Comment By: Raymond Toy (rtoy) Date: 20071109 11:38 Message: Logged In: YES user_id=28849 Originator: NO Several issues here. First, you probably wanted acos, not arccos. Second pi is written %pi in maxima. You didn't mention what integrate command was used. Please be more explicit. Also, 5.10.0 is quite old. If possible, try the 5.13.0 release. Marking this as pending and invalid.  You can respond by visiting: https://sourceforge.net/tracker/?func=detail&atid=104933&aid=1828956&group_id=4933 
From: SourceForge.net <noreply@so...>  20071109 13:14:51

Bugs item #1828956, was opened at 20071109 13:14 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=1828956&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  Integration Group: None Status: Open Resolution: None Priority: 5 Private: No Submitted By: Jan Fricke (matheschlumpf) Assigned to: Nobody/Anonymous (nobody) Summary: Integration yields wrong results Initial Comment: I want to integrate the function arccos(x/l) + arccos(y/l)  pi/2  2 pi over the quartercircle with radius l>0. The correct result is l^2/(4pi). A direct calculation with Maxima (Ver. 5.10.0, debian lenny) gives l^2/(8pi). If I only integrate the function arccos(x/l), then I should get (pi*l/4)^2 + (l/2)^2, but I get 2 2 l false 4 l false  %pi l    4 16 Best wishes Jan  You can respond by visiting: https://sourceforge.net/tracker/?func=detail&atid=104933&aid=1828956&group_id=4933 