Cartesian Product

DeMorgans Laws

Power Sets and Set Partitions

Set Notation

Set Theory Notation

Sets

Venn Diagram

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

Calculator · Watch the VideoDeMorgans Laws

Demonstrates DeMorgans Laws including the proof

Calculator · Watch the VideoPower Sets and Set Partitions

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

Calculator · Watch the VideoSet Notation

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

Calculator · Watch the Video* 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

* Dice's Coefficient

* If A is a subset of B

* If B is a subset of A

Set Theory Notation

Evaluates and describes various set theory notation

Calculator · Watch the VideoSets

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.

Lesson · Watch the VideoVenn Diagram

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

Lesson · Watch the Video