The Maxima on-line user's manual

Algebra 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.

```          (%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) ```

Related Examples

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multi_orbit-orbit

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multi_orbit (x + y +...

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? multi_orbit;

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orbit

orbit (x,ay [x, y]);

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orbit

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

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

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? orbit;

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