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The Maxima on-line user's manual

Algebra Calculator

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Intersect

Function: intersect (<a_1>, ..., <a_n>) intersect is the same as intersection, which see.

A : {1,2,3,4,5,6,7,10,15};
B : {4,5,6,7,8,9,10,a,b,d};
A1: cardinality(A);
B1:cardinality(B);
AUB1:cardinality(powerset(union(A,B)));
C:cardinality(intersect(A,B));
AUB2:cardinality(union(powerset(A),powerset(B)));
AU1: 2^(A1+B1-C);
AU2: 2^A1 +2^B1 -2^C

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

(%o1)                                true
(%i2) 

Related Examples

intersect-length

antwort: {4,5};

loesung: {4,9};

richtig1: length(inte...

Calculate

intersect-powerset

A : {{1},1};

B : powerset(A);

intersect(A,B);

Calculate

intersect-powerset-union

A : {1,2,3};

B : {a,b};

union(A,B);

Calculate

intersect-length

antwort: {4,5};

loesung: {4,9};

richtig1: length(inte...

Calculate

intersect

a: {};

b: {1};

c: {0};

Calculate

intersect-length

antwort: {4,5};

loesung: {4,9};

richtig1: length(inte...

Calculate

intersect-is-setdifference-union

H:{1,2,3,4};

A:{2,3};

B:{3,4};

Calculate

intersect-powerset-union

A : {1,2,3};

B : {a,b};

union(A,B);

Calculate

intersect-is-setdifference-union

H:{1,2,3,4};

A:{2,3};

B:{3,4};

Calculate

intersect

intersect({a, b, c}, ...

Calculate