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The Maxima on-line user's manual

Algebra Calculator

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Cartesian_product Calculator

Cartesian_product

Function: cartesian_product (<b_1>, ... , <b_n>) Returns a set of lists of the form [<x_1>, ..., <x_n>], where <x_1>, ..., <x_n> are elements of the sets <b_1>, ... , <b_n>, respectively.

cartesian_product complains if any argument is not a literal set.

Examples:

          (%i1) cartesian_product ({0, 1});
          (%o1)                      {[0], [1]}
          (%i2) cartesian_product ({0, 1}, {0, 1});
          (%o2)           {[0, 0], [0, 1], [1, 0], [1, 1]}
          (%i3) cartesian_product ({x}, {y}, {z});
          (%o3)                      {[x, y, z]}
          (%i4) cartesian_product ({x}, {-1, 0, 1});
          (%o4)              {[x, - 1], [x, 0], [x, 1]}

(%o1)                                true
(%i2) 

Cartesian_product Example

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