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From: SourceForge.net <noreply@so...>  20080709 18:25:52

Bugs item #2014392, was opened at 20080709 18:25 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=2014392&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 z = x*tanh(y) + y*tanh(x) Initial Comment: solve([z=x*tanh(y)+tanh(x)*y], [y]); returns [y=(x*tanh(y)z)/tanh(x)] Which has y on both sides of the equation Why can Maxima not solve this equation ? (or if there is no solution is return an error) I believe that if z and x have fixed values, then y can be determined.  You can respond by visiting: https://sourceforge.net/tracker/?func=detail&atid=104933&aid=2014392&group_id=4933 
From: SourceForge.net <noreply@so...>  20080709 18:34:16

Bugs item #2014392, was opened at 20080709 18:25 Message generated for change (Comment added) made by nobody You can respond by visiting: https://sourceforge.net/tracker/?func=detail&atid=104933&aid=2014392&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 z = x*tanh(y) + y*tanh(x) Initial Comment: solve([z=x*tanh(y)+tanh(x)*y], [y]); returns [y=(x*tanh(y)z)/tanh(x)] Which has y on both sides of the equation Why can Maxima not solve this equation ? (or if there is no solution is return an error) I believe that if z and x have fixed values, then y can be determined.  Comment By: Nobody/Anonymous (nobody) Date: 20080709 18:34 Message: Logged In: NO plot3d(x*tanh(y)+tanh(x)*y, [x,5,5], [y,5,5], [plot_format,openmath])$  You can respond by visiting: https://sourceforge.net/tracker/?func=detail&atid=104933&aid=2014392&group_id=4933 
From: SourceForge.net <noreply@so...>  20080717 14:03:44

Bugs item #2014392, was opened at 20080709 14:25 Message generated for change (Comment added) made by macrakis You can respond by visiting: https://sourceforge.net/tracker/?func=detail&atid=104933&aid=2014392&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: Rejected Priority: 5 Private: No Submitted By: Nobody/Anonymous (nobody) Assigned to: Nobody/Anonymous (nobody) Summary: solve z = x*tanh(y) + y*tanh(x) Initial Comment: solve([z=x*tanh(y)+tanh(x)*y], [y]); returns [y=(x*tanh(y)z)/tanh(x)] Which has y on both sides of the equation Why can Maxima not solve this equation ? (or if there is no solution is return an error) I believe that if z and x have fixed values, then y can be determined.  >Comment By: Stavros Macrakis (macrakis) Date: 20080717 10:03 Message: Logged In: YES user_id=588346 Originator: NO This is a transcendental equation which does not have a solution in closed form in the usual elementary functions. That is true of the simpler equations y=tanh(y), y=exp(y), etc. Remember that Maxima's solve command finds exact solutions, not approximations. Of course, for fixed z and x, you can find a numerical approximation. Take a look at the documentation for find_root. Example: find_root(y=tanh(y)+1,y,0,10); 1.961179751371539  Comment By: Nobody/Anonymous (nobody) Date: 20080709 14:34 Message: Logged In: NO plot3d(x*tanh(y)+tanh(x)*y, [x,5,5], [y,5,5], [plot_format,openmath])$  You can respond by visiting: https://sourceforge.net/tracker/?func=detail&atid=104933&aid=2014392&group_id=4933 
From: SourceForge.net <noreply@so...>  20080817 18:56:33

Bugs item #2014392, was opened at 20080709 18:25 Message generated for change (Comment added) made by nobody You can respond by visiting: https://sourceforge.net/tracker/?func=detail&atid=104933&aid=2014392&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: Rejected Priority: 5 Private: No Submitted By: Nobody/Anonymous (nobody) Assigned to: Nobody/Anonymous (nobody) Summary: solve z = x*tanh(y) + y*tanh(x) Initial Comment: solve([z=x*tanh(y)+tanh(x)*y], [y]); returns [y=(x*tanh(y)z)/tanh(x)] Which has y on both sides of the equation Why can Maxima not solve this equation ? (or if there is no solution is return an error) I believe that if z and x have fixed values, then y can be determined.  Comment By: Nobody/Anonymous (nobody) Date: 20080817 18:56 Message: Logged In: NO Thank you for your feedback, it was quite helpful.  Comment By: Stavros Macrakis (macrakis) Date: 20080717 14:03 Message: Logged In: YES user_id=588346 Originator: NO This is a transcendental equation which does not have a solution in closed form in the usual elementary functions. That is true of the simpler equations y=tanh(y), y=exp(y), etc. Remember that Maxima's solve command finds exact solutions, not approximations. Of course, for fixed z and x, you can find a numerical approximation. Take a look at the documentation for find_root. Example: find_root(y=tanh(y)+1,y,0,10); 1.961179751371539  Comment By: Nobody/Anonymous (nobody) Date: 20080709 18:34 Message: Logged In: NO plot3d(x*tanh(y)+tanh(x)*y, [x,5,5], [y,5,5], [plot_format,openmath])$  You can respond by visiting: https://sourceforge.net/tracker/?func=detail&atid=104933&aid=2014392&group_id=4933 
From: SourceForge.net <noreply@so...>  20090311 10:25:53

Bugs item #2014392, was opened at 20080709 20:25 Message generated for change (Comment added) made by crategus You can respond by visiting: https://sourceforge.net/tracker/?func=detail&atid=104933&aid=2014392&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: Closed Resolution: Rejected Priority: 5 Private: No Submitted By: Nobody/Anonymous (nobody) Assigned to: Nobody/Anonymous (nobody) Summary: solve z = x*tanh(y) + y*tanh(x) Initial Comment: solve([z=x*tanh(y)+tanh(x)*y], [y]); returns [y=(x*tanh(y)z)/tanh(x)] Which has y on both sides of the equation Why can Maxima not solve this equation ? (or if there is no solution is return an error) I believe that if z and x have fixed values, then y can be determined.  >Comment By: Dieter Kaiser (crategus) Date: 20090311 11:25 Message: Closing this bug report. See comment below. Dieter Kaiser  Comment By: Nobody/Anonymous (nobody) Date: 20080817 20:56 Message: Logged In: NO Thank you for your feedback, it was quite helpful.  Comment By: Stavros Macrakis (macrakis) Date: 20080717 16:03 Message: Logged In: YES user_id=588346 Originator: NO This is a transcendental equation which does not have a solution in closed form in the usual elementary functions. That is true of the simpler equations y=tanh(y), y=exp(y), etc. Remember that Maxima's solve command finds exact solutions, not approximations. Of course, for fixed z and x, you can find a numerical approximation. Take a look at the documentation for find_root. Example: find_root(y=tanh(y)+1,y,0,10); 1.961179751371539  Comment By: Nobody/Anonymous (nobody) Date: 20080709 20:34 Message: Logged In: NO plot3d(x*tanh(y)+tanh(x)*y, [x,5,5], [y,5,5], [plot_format,openmath])$  You can respond by visiting: https://sourceforge.net/tracker/?func=detail&atid=104933&aid=2014392&group_id=4933 