universal set Synonyms
No Synonyms and anytonyms found
universal set Meaning
Wordnet
universal set (n)
(mathematics) the set that contains all the elements or objects involved in the problem under consideration
universal set Sentence Examples
- The universal set encompasses all elements under consideration within a particular discussion.
- In set theory, the universal set, denoted as U, contains all possible members that can be included in any set within a given context.
- The universal set serves as a reference point against which all other sets are defined and compared.
- Every set is a subset of the universal set, as all elements of a set must belong to the larger collection.
- The complement of a set with respect to the universal set includes the elements not found in that set.
- Operations on sets, such as union and intersection, are defined relative to the universal set.
- Membership in a set is determined by comparing an element's inclusion in the universal set.
- The intersection of the universal set with any other set is equal to that other set.
- The union of the universal set with any other set is equal to the universal set itself.
- Understanding the concept of the universal set is fundamental for comprehending set theory and its applications.
FAQs About the word universal set
(mathematics) the set that contains all the elements or objects involved in the problem under consideration
No synonyms found.
No antonyms found.
The universal set encompasses all elements under consideration within a particular discussion.
In set theory, the universal set, denoted as U, contains all possible members that can be included in any set within a given context.
The universal set serves as a reference point against which all other sets are defined and compared.
Every set is a subset of the universal set, as all elements of a set must belong to the larger collection.
