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The Maxima on-line user's manual

Algebra Calculator

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Orbit Calculator

Orbit

Function: orbit (<P>, <lvar>) computes the orbit of the polynomial <P> in the variables in the list <lvar> under the action of the symmetric group of the set of variables in the list <lvar>.

l: [[x, y], [a, b]];
 pui_direct (multi_orbit (a*x + b*y, l), l, [2, 2]);
 pui_direct (multi_orbit (a*x + b*y, l), l, [3, 2]);
 pui_direct ([y + x + 2*c, y + x + 2*b, y + x + 2*a],                [[x, y], [a, b, c]], [2, 3]);

          (%i1) orbit (a*x + b*y, [x, y]);
          (%o1)                [a y + b x, b y + a x]
          (%i2) orbit (2*x + x^2, [x, y]);
                                  2         2
          (%o2)                 [y  + 2 y, x  + 2 x]
     See also multi_orbit for the action of a product of symmetric
     groups on a polynomial.

There are also some inexact matches for orbit. Try ?? orbit to see them.

(%o1)                                true
(%i2) 

Orbit Example

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orbit

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orbit

orbit (a*x + b*y, [x,...

orbit (2*x + x^2, [x...

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