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The Maxima on-line user's manual

Algebra Calculator

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Setdifference Calculator

Setdifference

Function: setdifference (<a>, <b>) Returns a set containing the elements in the set <a> that are not in the set <b>.

setdifference complains if either <a> or <b> is not a literal set.

Examples:

          (%i1) S_1 : {a, b, c, x, y, z};
          (%o1)                  {a, b, c, x, y, z}
          (%i2) S_2 : {aa, bb, c, x, y, zz};
          (%o2)                 {aa, bb, c, x, y, zz}
          (%i3) setdifference (S_1, S_2);
          (%o3)                       {a, b, z}
          (%i4) setdifference (S_2, S_1);
          (%o4)                     {aa, bb, zz}
          (%i5) setdifference (S_1, S_1);
          (%o5)                          {}
          (%i6) setdifference (S_1, {});
          (%o6)                  {a, b, c, x, y, z}
          (%i7) setdifference ({}, S_1);
          (%o7)                          {}

(%o1)                                true
(%i2) 

Setdifference Example

Related Examples

setdifference

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? setdifference;

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setdifference-union

S_1 : {{}, {{}}, 1, 2...

S_2 : {{}};

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setdifference

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setdifference

setdifference({1,3,{1...

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setdifference

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S_2 : {1, 2, 3};

setdifference (S_1, ...

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setdifference

S_1 : {a, b, c, x, y,...

S_2 : {aa, bb, c, x,...

setdifference (S_1, ...

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setdifference-union

S_1 : {{}, {{}}, 1, 2...

S_2 : {};

setdifference (S_1, ...

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setdifference

S_1 : {{}, {{}}, 1, 2...

S_2 : {1, 2, 3};

setdifference (S_1, ...

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setdifference-union

S_1 : {{}, {{}}, 1, 2...

S_2 : {1, 2, 3};

setdifference (S_1, ...

Calculate