All Theory of Positive Integers Resources
Example Questions
Example Question #7 :Theory Of Positive Integers
Which of the following is a property of a relation?
Non-symmetric Property
分区的ty
Symmetric Property
Equivalency Property
All are properties of a relation
Symmetric Property
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.
Example Question #8 :Theory Of Positive Integers
What is an equivalency class?
An equivalency class is a definitional term.
Supposeis a non empty set andis an equivalency relation on. Thenbelonging tois a set that holds all the elements that live inthat are equivalent to.
In mathematical terms this looks as follows,
Example Question #9 :Theory Of Positive Integers
Which of the following is a property of a relation?
Equivalency Property
Non-symmetric Property
All are relation properties
Associative Property
Reflexive Property
Reflexive Property
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.
Example Question #10 :Theory Of Positive Integers
Which of the following is a property of a relation?
All are properties of relations.
Equivalency Property
Non-symmetric Property
Transitive Property
分区的ty
Transitive Property
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.
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