How does the Set Notation Calculator work?
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
This calculator has 2 inputs.
* 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
This calculator has 2 inputs.
What 7 formulas are used for the Set Notation Calculator?
A Δ B = (A - B) U (B - A)
AC = U - A
A ∩ B = A + B - A U B
J(A,B) = |A ∩ B|/|A U B|
Jσ(A,B) = 1 - J(A,B)
AC = U - A
A ∩ B = A + B - A U B
J(A,B) = |A ∩ B|/|A U B|
Jσ(A,B) = 1 - J(A,B)
What 11 concepts are covered in the Set Notation Calculator?
- cardinality
- a measure of the number of elements of the set
- coefficient
- a numerical or constant quantity placed before and multiplying the variable in an algebraic expression
- difference
- the result of one of the important mathematical operations, which is obtained by subtracting two numbers
- element
- an element (or member) of a set is any one of the distinct objects that belong to that set. In chemistry, any substance that cannot be decomposed into simpler substances by ordinary chemical processes.
- index
- an indicator, sign, or measure of something
- intersection
- the set containing all elements of A that also belong to B or equivalently, all elements of B that also belong to A.
A ∩ B - product
- The answer when two or more values are multiplied together
- set
- a collection of different things; a set contains elements or members, which can be mathematical objects of any kind
- set notation
- Ways of writing sets and their elements and properties
- subset
- A is a subset of B if all elements of the set A are elements of the set B
- union
- Combine the elements of two or more sets
Set Notation Calculator Video
