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Subset vs Sumset - What's the difference?

subset | sumset |

As nouns the difference between subset and sumset

is that subset is with respect to another set, a set such that each of its elements is also an element of the other set while sumset is the set of all sums of an element from A with an element from B, where A and B are subsets of an abelian group.

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

    sumset

    English

    Noun

    (en noun) (wikipedia sumset)
  • (mathematics) The set of all sums of an element from A'' with an element from ''B'', where ''A'' and ''B are subsets of an abelian group.
  • Synonyms

    * Minkowski sum

    Anagrams

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