intersection  
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intersection - the set containing all elements of A that also belong to B or equivalently, all elements of B that also belong to A.
Formula: A ∩ B

Free 2 Lines Intersection Calculator - Enter any 2 line equations, and the calculator will determine the following:
* Are the lines parallel?
* Are the lines perpendicular
* Do the lines intersect at some point, and if so, which point?
* Is the system of equations dependent, independent, or inconsistent

Cross Partitions

Free Cross Partitions Calculator - Given a set of partitions, this determines the cross partitions.

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Set Notation

Free Set Notation Calculator - Given two number sets A and B, this determines the following:
* Union of A and B, denoted A U B
* Intersection of A and B, denoted A ∩ B
* Elements in A not in B, denoted A - B
* Elements in B not in A, denoted B - A
* Symmetric Difference A Δ B
* The Concatenation A · B
* The Cartesian Product A x B
* Cardinality of A = |A|
* Cardinality of B = |B|
* Jaccard Index J(A,B)
* Jaccard Distance Jσ(A,B)
* Dice's Coefficient
* If A is a subset of B
* If B is a subset of A

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Venn Diagram

Free Venn Diagram Calculator - This lesson walks you through what a Venn diagram is, the Venn diagram for A union B, A intersection B, and A Complement.

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Venn Diagram (2 circles)

Free Venn Diagram (2 circles) Calculator - Given two circles A and B with an intersection piece of C, this will calculate all relevant probabilities of the Venn Diagram.

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