Function & Equivalence Relations - Theory of Positive Integers
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Which of the following is a property of a relation?
Which of the following is a property of a relation?
For a relation to exist there must be a non empty set present. If a non empty set is present then there are three relation properties.
These properties are:
I. Reflexive Property
II. Symmetric Property
III. Transitive Property
When all three properties represent a specific set, then that set is known to have an equivalence relation.
For a relation to exist there must be a non empty set present. If a non empty set is present then there are three relation properties.
These properties are:
I. Reflexive Property
II. Symmetric Property
III. Transitive Property
When all three properties represent a specific set, then that set is known to have an equivalence relation.
Compare your answer with the correct one above
What is an equivalency class?
What is an equivalency class?
An equivalency class is a definitional term.
Suppose 
is a non empty set and 
is an equivalency relation on 
. Then 
belonging to 
is a set that holds all the elements that live in 
that are equivalent to 
.
In mathematical terms this looks as follows,
An equivalency class is a definitional term.
Suppose
In mathematical terms this looks as follows,
Compare your answer with the correct one above
Which of the following is a property of a relation?
Which of the following is a property of a relation?
For a relation to exist there must be a non empty set present. If a non empty set is present then there are three relation properties.
These properties are:
I. Reflexive Property
II. Symmetric Property
III. Transitive Property
When all three properties represent a specific set, then that set is known to have an equivalence relation.
For a relation to exist there must be a non empty set present. If a non empty set is present then there are three relation properties.
These properties are:
I. Reflexive Property
II. Symmetric Property
III. Transitive Property
When all three properties represent a specific set, then that set is known to have an equivalence relation.
Compare your answer with the correct one above
Which of the following is a property of a relation?
Which of the following is a property of a relation?
For a relation to exist there must be a non empty set present. If a non empty set is present then there are three relation properties.
These properties are:
I. Reflexive Property
II. Symmetric Property
III. Transitive Property
When all three properties represent a specific set, then that set is known to have an equivalence relation.
For a relation to exist there must be a non empty set present. If a non empty set is present then there are three relation properties.
These properties are:
I. Reflexive Property
II. Symmetric Property
III. Transitive Property
When all three properties represent a specific set, then that set is known to have an equivalence relation.
Compare your answer with the correct one above