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From: SourceForge.net <noreply@so...>  20070205 21:32:48

Bugs item #1651811, was opened at 20070204 11:49 Message generated for change (Settings changed) made by macrakis You can respond by visiting: https://sourceforge.net/tracker/?func=detail&atid=104933&aid=1651811&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: Closed >Resolution: Duplicate Priority: 5 Private: No Submitted By: guno (guno) Assigned to: Nobody/Anonymous (nobody) Summary: inf Initial Comment: hi, (%i44) build_info(); Maxima version: 5.11.0 Maxima build date: 22:25 12/26/2006 host type: i686pcmingw32 lispimplementationtype: GNU Common Lisp (GCL) lispimplementationversion: GCL 2.6.8 i think the way maxima handles inf,minf and infinity is nonsense: (%i25) limit(inf/inf); (%o25) 1 (%i26) limit(infinf); (%o26) 0 (%i29) limit(inf/x,x,inf); (%o29) 0 (%i36) limit(infx,x,inf); (%o36) minf (%i47) inf/inf; (%o47) 1  >Comment By: Stavros Macrakis (macrakis) Date: 20070205 16:32 Message: Logged In: YES user_id=588346 Originator: NO Yes, alas this is a known problem which has been reported before.  You can respond by visiting: https://sourceforge.net/tracker/?func=detail&atid=104933&aid=1651811&group_id=4933 
From: SourceForge.net <noreply@so...>  20070205 12:45:33

Bugs item #1651948, was opened at 20070204 15:07 Message generated for change (Comment added) made by willisbl You can respond by visiting: https://sourceforge.net/tracker/?func=detail&atid=104933&aid=1651948&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: algsys/solve cannot find solutions Initial Comment: (%i169) p1:x*y^3+y^2+x^49*x/8$ (%i170) p2:y^4x^3*y9*y/8+x^2$ (%i180) algsys([p1,p2],[x,y]); (%o180) [[x = 1/2,y = 1],[x = 9/8,y = 9/8],[x = 1,y = 1/2],[x = 0,y = 0]] the system seems to have 4 (real) solutions. `? algsys' says: ... The method is as follows: (1) First the equations are factored and split into subsystems. (2) For each subsystem <S_i>, an equation <E> and a variable <x> are selected. The variable is chosen to have lowest nonzero degree. Then the resultant of <E> and <E_j> with respect to <x> is computed for each of the remaining equations <E_j> in the subsystem <S_i>. This yields a new subsystem <S_i'> in one fewer variables, as <x> has been eliminated. The process now returns to (1). ... so `algsys' uses the resultant of the two polynomial with respect to x or y. i do this by hand: (%i184) factor(resultant(p1,p2,x)); (%o184) 4096*(y1)*y*(2*y1)*(8*y9)*(y^2+y+1)*(4*y^2+2*y+1)*(64*y^2+72*y+81) (resultant with respect to x gives a similar result) this gives 6 additional solution for y that can be found by sove. if i substitute such an y in the original polyomial the resulting polynomials in x have degree 4 and are also solvable. why don't `algsys' or `solve' don't find these solution?  >Comment By: Barton Willis (willisbl) Date: 20070205 06:45 Message: Logged In: YES user_id=895922 Originator: NO Here is a workaround for your equations; the workaround might help in general: (%i34) load(grobner)$ Loading maximagrobner $Revision: 1.2 $ $Date: 2006/11/08 03:40:02 $ (%i35) p1:x*y^3+y^2+x^49*x/8$ (%i36) p2:y^4x^3*y9*y/8+x^2$ (%i37) eqs : map('ratnumer, [p1,p2])$ (%i38) eqs : poly_reduced_grobner(eqs,[x,y])$ (%i39) algsys(eqs,[x,y]); (%o39) [[x=0,y=0],[x=1,y=1/2],[x=9/8,y=9/8],[x=1/2,y=1],[x=(sqrt(3)*%i1)/4,y=(sqrt(3)*%i+1)/2],[x= (sqrt(3)*%i+1)/4,y=(sqrt(3)*%i1)/2],[x=(9*sqrt(3)*%i9)/16,y=(9*sqrt(3)*%i+9)/16],[x=(9*sqrt(3)*%i+9)/16,y=(9*sqrt(3)*%i9)/16],[x=(sqrt(3)*%i1)/2,y= (sqrt(3)*%i+1)/4],[x=(sqrt(3)*%i+1)/2,y=(sqrt(3)*%i1)/4]]  You can respond by visiting: https://sourceforge.net/tracker/?func=detail&atid=104933&aid=1651948&group_id=4933 