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Subset vs Coinitial - What's the difference?

subset | coinitial |

As a noun subset

is (set theory) with respect to another set, a set such that each of its elements is also an element of the other set.

As an adjective coinitial is

(mathematics|of a subset) having an element b'' for each element ''a'' in the superset such that ''b'' is less than or equal to ''a .

subset

English

Noun

(en noun)
  • (set theory) With respect to another set, a set such that each of its elements is also an element of the other set.
    • The set of integers is a subset of the set of reals.
    The set {a, b} is a both a subset and a proper subset of {a, b, c} while the set {a, b, c} is a subset of {a, b, c} but not a proper subset of {a, b, c}.
  • A group of things or people, all of which are in a specified larger group.
    • We asked a subset of the population of the town for their opinion.

    Synonyms

    * (set theory)

    Antonyms

    * superset

    Derived terms

    * proper subset

    coinitial

    English

    Adjective

    (-)
  • (mathematics, of a subset) Having an element b'' for each element ''a'' in the superset such that ''b'' is less than or equal to ''a .