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From: SourceForge.net <noreply@so...>  20061011 10:09:28

Bugs item #1575120, was opened at 20061011 03:54 Message generated for change (Comment added) made by willisbl You can respond by visiting: https://sourceforge.net/tracker/?func=detail&atid=104933&aid=1575120&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  Simplification Group: None Status: Open Resolution: None Priority: 5 Submitted By: Nobody/Anonymous (nobody) Assigned to: Nobody/Anonymous (nobody) Summary: Some laws are still missing Initial Comment: is(equal((x/y)^z,(x^z/y^z))); is(equal((x*y)^z,(x^z*y^z))); is(equal((x^y)^z,(x^(y*z)))); of course they are equal! Those are laws! Mario/Mexico  >Comment By: Barton Willis (willisbl) Date: 20061011 05:09 Message: Logged In: YES user_id=895922 For real x,y,z, the equation (x*y)^z = x^z*y^z isn't an identity. To see this, let x > 1, y > 1, and z > 1/2. If Maxima did is(equal((x*y)^z,(x^z*y^z))) > true that would be a bug. Similarly, all your other laws are not valid for all real numbers. (1) We're working on improving the function equal; it has many known problems. (2) The function 'radcan' does (%i16) radcan((x*y)^z); (%o16) x^z*y^z Maybe you would like to use it.  You can respond by visiting: https://sourceforge.net/tracker/?func=detail&atid=104933&aid=1575120&group_id=4933 
From: SourceForge.net <noreply@so...>  20061011 09:57:16

Bugs item #1575107, was opened at 20061011 03:23 Message generated for change (Comment added) made by willisbl You can respond by visiting: https://sourceforge.net/tracker/?func=detail&atid=104933&aid=1575107&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  Simplification Group: None Status: Open >Resolution: Invalid Priority: 5 Submitted By: Nobody/Anonymous (nobody) Assigned to: Nobody/Anonymous (nobody) Summary: We can simplify even more Initial Comment: Since z/sqrt(z) = sqrt(z), fullratsimp((3*x^2)/(4*sqrt(3))); should return (sqrt(3)*x^2)/4. I'm starting to think that there are many problems that would be fixed by treating the sqrt(x) function as x^(1/2) and then return to sqrt(x) form when all calculations are done. Mario/Mexico  >Comment By: Barton Willis (willisbl) Date: 20061011 04:57 Message: Logged In: YES user_id=895922 To do the simplification that you wanted, set the option variable 'algebraic' to true: (%i1) ratsimp((3*x^2)/(4*sqrt(3))), algebraic : true; (%o1) (sqrt(3)*x^2)/4 And by the way, internally, sqrt(x) is x^(1/2). To see this, do this: (%i2) ?print(sqrt(x)); ((MEXPT SIMP) $X ((RAT SIMP) 1 2))  You can respond by visiting: https://sourceforge.net/tracker/?func=detail&atid=104933&aid=1575107&group_id=4933 
From: SourceForge.net <noreply@so...>  20061011 08:54:59

Bugs item #1575120, was opened at 20061011 01:54 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=1575120&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  Simplification Group: None Status: Open Resolution: None Priority: 5 Submitted By: Nobody/Anonymous (nobody) Assigned to: Nobody/Anonymous (nobody) Summary: Some laws are still missing Initial Comment: is(equal((x/y)^z,(x^z/y^z))); is(equal((x*y)^z,(x^z*y^z))); is(equal((x^y)^z,(x^(y*z)))); of course they are equal! Those are laws! Mario/Mexico  You can respond by visiting: https://sourceforge.net/tracker/?func=detail&atid=104933&aid=1575120&group_id=4933 
From: SourceForge.net <noreply@so...>  20061011 08:23:12

Bugs item #1575107, was opened at 20061011 01:23 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=1575107&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  Simplification Group: None Status: Open Resolution: None Priority: 5 Submitted By: Nobody/Anonymous (nobody) Assigned to: Nobody/Anonymous (nobody) Summary: We can simplify even more Initial Comment: Since z/sqrt(z) = sqrt(z), fullratsimp((3*x^2)/(4*sqrt(3))); should return (sqrt(3)*x^2)/4. I'm starting to think that there are many problems that would be fixed by treating the sqrt(x) function as x^(1/2) and then return to sqrt(x) form when all calculations are done. Mario/Mexico  You can respond by visiting: https://sourceforge.net/tracker/?func=detail&atid=104933&aid=1575107&group_id=4933 