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What (who) is subsets - definition

SET WHOSE ELEMENTS ARE ALL CONTAINED IN ANOTHER SET

Proper subset; SubSet; Strict subset; Superset; Proper superset; Subsets; ⊆; Inclusion (set theory); Set inclusion; ⊃; ⊂; Subset inclusion; ⊊; Inclusion relation; ⊇; Subset order; Proper subsets; ⊋; ⊈; ⊉; ⊄; ⊅; Membership sign; Superset (mathematics); Subset and superset; Strict superset; Subset relation; Superset inclusion

$<math>A \subseteq B</math> and <math>B \subseteq C</math> implies <math>A \subseteq C.</math>$

Subset

In mathematics, set A is a subset of a set B if all elements of A are also elements of B; B is then a superset of A. It is possible for A and B to be equal; if they are unequal, then A is a proper subset of B.

https://en.wikipedia.org/wiki/Subset

subset

(subsets)

A subset of a group of things is a smaller number of things that belong together within that group.

...subsets of the population such as men, women, ethnic groups, etc.

N-COUNT: oft N of n

subset

¦ noun a part of a larger group of related things.

?Mathematics a set of which all the elements are contained in another set.

Wikipedia

Subset

In mathematics, set A is a subset of a set B if all elements of A are also elements of B; B is then a superset of A. It is possible for A and B to be equal; if they are unequal, then A is a proper subset of B. The relationship of one set being a subset of another is called inclusion (or sometimes containment). A is a subset of B may also be expressed as B includes (or contains) A or A is included (or contained) in B. A k-subset is a subset with k elements.

The subset relation defines a partial order on sets. In fact, the subsets of a given set form a Boolean algebra under the subset relation, in which the join and meet are given by intersection and union, and the subset relation itself is the Boolean inclusion relation.

https://en.wikipedia.org/wiki/Subset

Examples of use of subsets

1. Seek out the ethnic subsets and spray them with public money.

2. Baseball observers have broken the eight bidders into subsets, with some groups belonging to more than one subset.

3. Talks among subsets of the six parties are also valuable as long as the United States is a player and not simply sitting on the sidelines.

4. Because of the weakness of many of the findings, the results have produced conflicting interpretations, with competing camps seizing on subsets of data that support their views.

5. Finally, after touring the interactive Wilshire, Printable Tours can be generated – either of the entire '6–building collection, or of subsets as determined by the Filter feature.