Given a Set A and Set B, this calculates the Cartesian Product A × B

Demonstrates DeMorgans Laws including the proof

Given a set S, this calculator will determine the power set for S and all the partitions of a set.

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 J_σ(A,B)
* Dice's Coefficient
* If A is a subset of B
* If B is a subset of A

Evaluates and describes various set theory notation

This lesson walks you through what a set is, how to write a set, elements of a set, types of sets, cardinality of a set, complement of a set.

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