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The Maxima on-line user's manual

Algebra Calculator

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Multi_orbit Calculator

Multi_orbit

Function: multi_orbit (<P>, [<lvar_1>, <lvar_2>,..., <lvar_p>]) <P> is a polynomial in the set of variables contained in the lists <lvar_1>, <lvar_2>, ..., <lvar_p>. This function returns the orbit of the polynomial <P> under the action of the product of the symmetric groups of the sets of variables represented in these <p> lists.

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) multi_orbit (a*x + b*y, [[x, y], [a, b]]);
          (%o1)                [b y + a x, a y + b x]
          (%i2) multi_orbit (x + y + 2*a, [[x, y], [a, b, c]]);
          (%o2)        [y + x + 2 c, y + x + 2 b, y + x + 2 a]
     Also see: orbit for the action of a single symmetric group.

(%o1)                                true
(%i2) 

Multi_orbit Example

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