ADVERTISEMENT
Partitioning of a set is distributing the member elements of a set among a group of non-empty subsets in such a way that each member lies in only one of these subsets.
⇒ ∅ ( Empty Set ) cannot be the partition of any set.
Examples ⇒
The set { 1, 2, 3 } can be partitioned in the below subsets :
{ 1 } , { 2, 3 }
{ 2 } , { 1, 3 }
{ 3 } , { 1, 2 }
{1}, {2}, {3}
Cell Evolution refers to the process by which the earliest forms of life on Earth evolved and diversified into the...
A perennial is a type of plant that lives for more than two years. Unlike annuals, which complete their life cycle in...
In physics and geometry, the concept of "three dimensions" refers to a spatial framework necessary to describe the...
De Morgan’s First Law The complement of the union of two sets is equal to the intersection of their complements i.e. (A ∪ B )' = A' ∩ B' De Morgan’s Second Law The complement of the intersection of two sets is equal to the union of their complements i.e. (A ∩ B )’ =...
A cartesian product between two sets is defined as the set consisting of all possible ordered pairs that can be formed by taking one element from each of the sets at a given time. If A and B are two sets such that a ∈ A and b ∈ B, then the cartesian product between A...
An ordered pair is a 2-tuple formed by taking two elements (generally numbers but can be alphabets, characters, words, or symbols). The general form of representation is (a, b) where a and b represent two distinct objects. The important thing with ordered pairs is...
0 Comments