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Wednesday, August 27, 2014

Set Theory

Set Theory
 
Set
Set 
It signifies the collection of distant elements.
 
Intersection
Intersection 
It indicates objects that belong to both sets, A and B.
 
Union
Union 
It refers to objects that belong to either set A or set B.
 
Subset
Subset 
It signifies few elements in the subset A are similar to the elements in set.
 
Proper subset
Proper subset 
It indicates that subset A has fewer elements than the set B.
 
Not Subset
Not Subset 
It signifies that A is not a subset of the set B.
 
Superset
Superset 
It symbolizes that set A has more or equal elements than set B.
 
Proper Superset
Proper superset 
Equality
Equality 
It signifies that sets A and B have same elements.
 
Complement
Complement 
It represents objects that do not belong to set A.
 
Relative complement
Relative complement 
It refers to objects that belong to set A but not to set B.
 
Symmetric difference
Symmetric difference 
It indicates objects that belong to both sets A and B but not to their intersection.
 
Element of
Element of 
It symbolizes that a is an element of set A.
 
Not element of
Not Element of 
It indicates that x is not an element of set A.
 
Ordered pair
It represents collection of elements of a set in a particular order.
  Ordered pair 

Cartesian product
 
It gives the product of two sets.
  Cartesian product
 
  

Aleph-null
 
Aleph-null 
 
It indicates infinite cardinality (number of elements of a set) of natural numbers set.
 
Aleph-one
Aleph-one 
It signifies cardinality (number of elements of a set) of countable ordinal (well ordered) numbers set.
 
Empty set
Empty set 
It refers to set having no elements.
 
Universal set
Universal set 
It represents set having all possible values.
 
Natural/whole numbers set
Natural numbers set 
It refers to set of whole/natural numbers with zero.
 
Integer numbers set
Integers number set 
It indicates set of integer numbers.
 
Real numbers set
Real numbers set 
It refers to set of real numbers.
 
Complex numbers set
Complex number set 
Cardinality
Cardinality 
It signifies the number of elements in set A.
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 

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