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What is the supremum of empty set?

Updated: 12/21/2022
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it's negative infinity!

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Q: What is the supremum of empty set?
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Is an empty set a subset of every set?

Yes,an empty set is the subset of every set. The subset of an empty set is only an empty set itself.


What isan empty set?

The empty set is a set that has no elements.


What will be the representation of subset of a empty set?

The only subset of an empty set is the empty set itself.


What is empty set in algebra?

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.


What subset of the real numbers does minus 8 belong?

In mathematics, given a subset S of a totally or partially ordered set T, the supremum (sup) of S, if it exists, is the least element of T which is greater than or equal to any element of S. Consequently, the supremum is also referred to as the least upper bound (lub or LUB). If the supremum exists, it is unique. If S contains a greatest element, then that element is the supremum; otherwise, the supremum does not belong to S (or does not exist). For instance, the negative real numbers do not have a greatest element, and their supremum is 0 (which is not a negative real number).Suprema are often considered for subsets of real numbers, rational numbers, or any other well-known mathematical structure for which it is immediately clear what it means for an element to be "greater-than-or-equal-to" another element. The definition generalizes easily to the more abstract setting of order theory, where one considers arbitrary partially ordered sets.The concept of supremum coincides with the concept of least upper bound, but not with the concepts of minimal upper bound, maximal element, or greatest element. The supremum is in a precise sense dual to the concept of an infimum.add me moshi monsters elydingle1

Related questions

What is difference between supremum and maximum element in a order set?

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Is a empty set a proper subset explain with reason?

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.


Is an empty set a subset of itself?

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.


Is an empty set a subset of every set?

Yes,an empty set is the subset of every set. The subset of an empty set is only an empty set itself.


What is the meaning of empty set?

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.)


What is empty set?

difinition of empty set


What isan empty set?

The empty set is a set that has no elements.


What will be the representation of subset of a empty set?

The only subset of an empty set is the empty set itself.


Is empty set a set and how?

empty set is a set because its name indicate as it is the set.


Why empty set is proper subset of every set?

It isn't. The empty set is a subset - but not a proper subset - of the empty set.


Is an empty set element of any set s?

The empty element is a subset of any set--the empty set is even a subset of itself. But it is not an element of every set; in particular, the empty set cannot be an element of itself because the empty set has no elements.


What is complement of an empty set?

The complement of an empty set is universal set