Empty set or null set
The universal set.
It is a set that contains no elements - an empty set.
A set is a collection of objects called ELEMENTS OR MEMBERS.
The empty set is the set that contains no elements. (It is the empty set, not an empty set, because there is only one of them. It is a unique mathematical object.)
In mathematics, a finite set is a set that has a finite number of elements. For example, (2,4,6,8,10) is a finite set with five elements. The number of elements of a finite set is a natural number (non-negative integer), and is called the cardinality of the set. A set that is not finite is called infinite. For example, the set of all positive integers is infinite: (1,2,3,4, . . .)
It's called an infinite set.
Name of the set which contains all elements is UNIVERSAL SET. It is usually represented by (U)
A unit set contains all the elements under consideration.
It is a set that contains no elements: an empty set.
A null set is a set that contains no elements.
The universal set.
It is a set which contains a finite number of elements.
It is a set that contains no elements - an empty set.
The empty set is the one that contains nothing at all. The universal set contains everything. Those are oversimplified definitions, but provide a good place to start. When we talk about things in sets, we call the things contained in the sets elements. So we can be more precise and say the empty set is a unique set with no elements. The universal set contains all elements INCLUDING itself.
No. Zero is a number, so the "set of zero" contains one element. The empty set, also known as the null set, contains no elements.
You can't really compare that, since zero is not a set. The null set (empty set), which can be written as {}, is a set with zero elements. A set that only contains the number zero, in symbols {0}, contains one element. It is not the same as the empty set.
If the universal set contains N elements then it has 2N subsets.