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Hi, can any buddy can help me to find find some notes about sets.
Each element in a set is unique. The elements of a set may be discrete or continuous. A set may contain no element at all, finite number of elements or infinite number of elements. If A and B are two sets, then the following results hold true: Relation is a linear operation which establishes relationship between the elements of two sets according to some definite rule of relationship. If R is a relation from a set A to set B, then the set of all first components or coordinates of the ordered pairs is called the domain of R, while the set of all second components or coordinates of the ordered pairs is called as range of relation. If R is a relation defined from A to B, then R-1 is a relation defined from B to A as R-1 = {(b,a)| (a, b) ∈ R}. There can be various types of relations like: Identity relation Reflexive relation Symmetric relation Transitive relation Equivalence relation
Each element in a set is unique.
The elements of a set may be discrete or continuous.
A set may contain no element at all, finite number of elements or infinite number of elements.
If A and B are two sets, then the following results hold true:
If R is a relation from a set A to set B, then the set of all first components or coordinates of the ordered pairs is called the domain of R, while the set of all second components or coordinates of the ordered pairs is called as range of relation.
If R is a relation defined from A to B, then R-1 is a relation defined from B to A as R-1 = {(b,a)| (a, b) ∈ R}.
There can be various types of relations like:
Identity relation
Reflexive relation
Symmetric relation
Transitive relation
Equivalence relation
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