it's negative infinity!
Yes,an empty set is the subset of every set. The subset of an empty set is only an empty set itself.
The only subset of an empty set is the empty set itself.
The empty set is a set that has no elements.
An empty set is a set with no elements. It can be symbolized by {} or ø. The solution set for an equation that has no solution is also called an empty set.
An empty set in math is called a null set.
The diameter of the empty set is considered to be infinite because there are no points within the set to define a finite distance. In mathematical terms, the diameter is defined as the supremum of the distances between all pairs of points in a set. Since the empty set has no pairs of points, the supremum is not defined in a finite sense, leading to the conclusion that it is infinite. This aligns with the idea that the empty set does not contain any measurable extent.
good
The supremum, or least upper bound, of a set is the smallest value that is greater than or equal to every element in that set. It may or may not be an element of the set itself. For example, the supremum of the set of all real numbers less than 2 is 2, even though 2 is not included in the set. The concept is crucial in mathematical analysis and helps in understanding limits and convergence.
An empty set is not a proper subset of an empty set.An empty set is not a proper subset of an empty set.An empty set is not a proper subset of an empty set.An empty set is not a proper subset of an empty set.
Yes it is. Everything in the empty set (which is nothing of course) is also in the empty set. If it's not in the empty set, it's not in the empty set. The empty set has no propersubsets, though, or subsets that are different from it.
Yes,an empty set is the subset of every set. The subset of an empty set is only an empty set itself.
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.)
difinition of empty set
The only subset of an empty set is the empty set itself.
The empty set is a set that has no elements.
empty set is a set because its name indicate as it is the set.
It isn't. The empty set is a subset - but not a proper subset - of the empty set.