Constant Function A function which does not change as its parameters vary i.e.…
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Classification of Functions
Functions or Mappings
Let A B and be two non-empty sets. Then, a function f from set A to Bis a rule …
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Functions or Mappings
Composition of Relations
Let R $\subseteq$ A $\times$ B, S $\subseteq$ B $\times$ C, be two relations. T…
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Composition of Relations
Different Types of Relations
Void Relation An empty relation (or void relation) is one…
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Different Types of Relations
Relations
Let A B and be two non-empty sets. Then, a relation R from A to B is a subset o…
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Relations
Cartesian Product
Let A and B be two non-empty sets. The cartesian product of A and B is denoted …
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Cartesian Product
Ordered Pair
Two elements a b and listed in a specific order form an ordered pair, denoted b…
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Ordered Pair
Cardinal Number of a Finite and Infinite Set
The number of distinct elements in a finite set A is called cardinal number and…
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Cardinal Number of a Finite and Infinite Set
Laws of Algebra of Sets
If A, B and C are three non-empty sets, then (i) Idempotent law A $\cup$ A = …
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Laws of Algebra of Sets
Complement of a Set
The complement of a set Ais the set of all those elements which are in universa…
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Complement of a Set