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+--- Thread: solve({ 2*x^2*y^2 = 0,2*y^2*x^2 = 0},{x,y}) [Enter] -> { [x,0] [0, y] } (/thread-6898.html)
solve({ 2*x^2*y^2 = 0,2*y^2*x^2 = 0},{x,y}) [Enter] -> { [x,0] [0, y] } - compsystems - 09-21-2016 02:22 PM
Hello
HP-Prime
solve({ 2*x^2*y^2 = 0,2*y^2*x^2 = 0},{x,y}) [Enter] returns
{[x,0]} it means x=x, x takes any parameter & y = 0
now inverting variables {x, y} -> {y, x}
solve({ 2*x^2*y^2 = 0,2*y^2*x^2 = 0},{y, x}) [Enter] returns
{[y,0]} it means y=y, y takes any parameter & x = 0
Why the CAS not return the full answer?
solve({ 2*x^2*y^2 = 0,2*y^2*x^2 = 0},{x,y}) [Enter] ->
{ [x,0] [0, y] } -> (x = x and y = 0) or (x = 0 and y = y)
or
solve({ 2*x^2*y^2 = 0,2*y^2*x^2 = 0},{y, x}) [Enter] ->
{ [0,x] [y, 0] } -> (y = 0 and x = x) or (y = y and y = 0)
within a program reverse variables the logic of the code becomes more complicated
The CAS of ti68K calculators (ti89/nspire), if return the complete solution =)
solve( 2*x^2*y^2= 0 and 2*y^2*x^2 = 0 ,{x,y}) [Enter] returns
(x = x and y = 0) or (x = 0 and y = y)
RE: solve({ 2*x^2*y^2 = 0,2*y^2*x^2 = 0},{x,y}) [Enter] -> { [x,0] [0, y] } - parisse - 09-21-2016 05:37 PM
The reason is the same as for solve(x*y,[x,y]) or solve(x*y,x), no special case for y=0. If your system has more unknowns than equation (after gbasis computation), it is solved with respect to the last unknown(s) it depends on, regarding the first "unknown(s)" as parameters, and solve happens in the generic situation.
RE: solve({ 2*x^2*y^2 = 0,2*y^2*x^2 = 0},{x,y}) [Enter] -> { [x,0] [0, y] } - John P - 09-21-2016 06:59 PM
(09-21-2016 05:37 PM)parisse Wrote: The reason is the same as for solve(x*y,[x,y]) or solve(x*y,x), no special case for y=0. If your system has more unknowns than equation (after gbasis computation), it is solved with respect to the last unknown(s) it depends on, regarding the first "unknown(s)" as parameters, and solve happens in the generic situation.
Sir,
Could you direct me to the place where I can download the latest manual(s) for XCAS, English and/or French it doesn't matter.
Thank you.
RE: solve({ 2*x^2*y^2 = 0,2*y^2*x^2 = 0},{x,y}) [Enter] -> { [x,0] [0, y] } - parisse - 09-22-2016 06:34 AM
French http://www-fourier.ujf-grenoble.fr/~parisse/giac_fr.html#doc
English http://www-fourier.ujf-grenoble.fr/~parisse/giac.html#doc
RE: solve({ 2*x^2*y^2 = 0,2*y^2*x^2 = 0},{x,y}) [Enter] -> { [x,0] [0, y] } - John P - 09-22-2016 03:59 PM
(09-22-2016 06:34 AM)parisse Wrote: French http://www-fourier.ujf-grenoble.fr/~parisse/giac_fr.html#docThank you.
English http://www-fourier.ujf-grenoble.fr/~parisse/giac.html#doc