subset
Definition
Noun: A subset is a set in which every member (or element) is also a member of another, larger set. In simpler terms, it is a collection of items that is entirely contained within a bigger collection.
Usage
The word subset is used primarily in mathematical, logical, and technical contexts to describe a part of a whole group. It is often used with the prepositions "of" or "within."
Examples
- The set {2, 4} is a subset of the set {1, 2, 3, 4, 5}.
- This survey only targeted a specific subset of the population: young urban professionals.
- In biology, mammals are a subset of vertebrates.
Advanced Usage
- Proper Subset: A subset that is strictly contained within another set and is not equal to it. Often denoted by the symbol ⊂.
- Example: The set of positive integers is a proper subset of the set of all integers.
- Subset Relation: The relationship where one set is a subset of another.
- Example: The subset relation between sets is a fundamental concept in set theory.
Variants and Related Words
- Superset (noun): The larger set that contains the subset.
- Example: The set of all real numbers is the superset for the set of integers.
Synonyms
- Portion
- Part
- Division
- Section
- Subgroup
Antonyms
- Superset
Noun
-
a set whose members are members of another set; a set contained within another set
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