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The Maxima on-line user's manual

Algebra Calculator

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Union Calculator

Union

Function: union (<a_1>, ..., <a_n>) Returns the union of the sets <a_1> through <a_n>.

A : {1,2,3};
B : {};
union(A,B);
intersect(A,B);

union() (with no arguments) returns the empty set.

union complains if any argument is not a literal set.

Examples:

          (%i1) S_1 : {a, b, c + d, %e};
          (%o1)                   {%e, a, b, d + c}
          (%i2) S_2 : {%pi, %i, %e, c + d};
          (%o2)                 {%e, %i, %pi, d + c}
          (%i3) S_3 : {17, 29, 1729, %pi, %i};
          (%o3)                {17, 29, 1729, %i, %pi}
          (%i4) union ();
          (%o4)                          {}
          (%i5) union (S_1);
          (%o5)                   {%e, a, b, d + c}
          (%i6) union (S_1, S_2);
          (%o6)              {%e, %i, %pi, a, b, d + c}
          (%i7) union (S_1, S_2, S_3);
          (%o7)       {17, 29, 1729, %e, %i, %pi, a, b, d + c}
          (%i8) union ({}, S_1, S_2, S_3);
          (%o8)       {17, 29, 1729, %e, %i, %pi, a, b, d + c}

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

(%o1)                                true
(%i2) 

Union Example

Related Examples

union

A: {.75};

B: {.83};

C: union(A, B);

Calculate

union

A: {.75};

B: {.83};

C: union(A, B);

Calculate

union

a : {1,2,3};

b : {a,b};

union(a,b);

Calculate

union

A : {1,2,3};

B : {a,b};

union(A,B);

Calculate

union

A: {.75};

B: {.83};

C: union(A, B);

Calculate

union

A : {1,2,3};

B : {a,b};

union(A,B);

Calculate

union

A : {1,2,3};

B : {a,b};

union(A,B);

Calculate

union

S_1 : {a, b, c + d, %e};

S_2 : {%pi, %i, %e, ...

S_3 : {17, 29, 1729,...

Calculate

union

A: {.75};

B: {.83};

C: union(A, B) * 100;

Calculate