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Subset vs Pseudoideal - What's the difference?

subset | pseudoideal |

As nouns the difference between subset and pseudoideal

is that 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 while pseudoideal is (mathematics) the set of all lower bounds of the set of all upper bounds of a subset of a partially ordered set.

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

    pseudoideal

    English

    Noun

    (wikipedia pseudoideal) (en noun)
  • (mathematics) The set of all lower bounds of the set of all upper bounds of a subset of a partially ordered set