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Definition of UNIT set?
The unit set of x is the set whose sole member is x. The unit set is to be distinguished from its member: for example, the unit set of the set of days of the week has one member, but that member is itself a set that has seven members.
What is the element of set?
It is a member of a set.
Can numbers be repeated within a set?
To repeat numbers in a set is redundant- it does not change the set since a set is determined by its members. Fir example {1,2,3} = {1,1,2,2,3,3 } . In the second case you are merely repeating yourself. You are saying "I am thinking of a set in which 1 is a member and 1 is a member and 2 is a member and 2 is a member and 3 is a member and 3 is a member." Repeating yourself does not change the set.
What do you call an objects in a set?
An element or member of the set.
Is numeral a member of the set of positive integers?
No. 0 is a numeral but does not belong to the set.
Definition of UNIT set?
The unit set of x is the set whose sole member is x. The unit set is to be distinguished from its member: for example, the unit set of the set of days of the week has one member, but that member is itself a set that has seven members.
Why a null set is subst of every set?
The definition of subset is ; Set A is a subset of set B if every member of A is a member of B. The null set is a subset of every set because every member of the null set is a member of every set. This is true because there are no members of the null set, so anything you say about them is vacuously true.
What is the element of set?
It is a member of a set.
Can numbers be repeated within a set?
To repeat numbers in a set is redundant- it does not change the set since a set is determined by its members. Fir example {1,2,3} = {1,1,2,2,3,3 } . In the second case you are merely repeating yourself. You are saying "I am thinking of a set in which 1 is a member and 1 is a member and 2 is a member and 2 is a member and 3 is a member and 3 is a member." Repeating yourself does not change the set.
Difference between crisp set and fuzzy set?
Let A be a crisp set defined over the universe X. Then for any element x in X,either x is a member of A or not.In a fuzzy set,it is not necessary that x is the full member of the set or not a member. It can be the partial member of the set.
Why is an empty set a subset to any set?
Because every member of the empty set (no such thing) is a member of any given set. Alternatively, there is no element in the empty set that is missing from the given set.
What do you call an objects in a set?
An element or member of the set.
Why empty set or null set is subset of every set?
There is only one empty set, also known as the null set. It is the set having no members at all. It is a subset of every set, since it has no member that is not a member of any other set.
What is the power set of an empty set?
The power set of the empty has one member, which is the set whose member is the empty set . {phi} ( Actually the symbol for the empty set is the Norwegian letter O which resembles the Greek letter phi but is a different symbol )
Is numeral a member of the set of positive integers?
No. 0 is a numeral but does not belong to the set.
What do you call a member of a sets?
An element of the set, although it may also be called a member.
Can a number be a member of the set of rational numbers and the set of irrational numbers?
No, one or the other.
