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universal set

universal set

7.0
All the things we consider in a math problem, including every smaller group
  • noun
  • /ˈjuːnɪvɜrsl sɛt/
  • Specialized
translation icon : conjunto universal
  • On the other hand, if you take the intersection of a set with the universal set, what is left is just the set itself.

Examples

  • OK, so here we have our universal set U, our rectangle is U.

  • When solving problems in mathematics, it is crucial to define the universal set U clearly, as all subsets derive from it.

  • There is no universal set of legal guidelines for landlords, however, on how to protect tenants and avoid liability.

    Academic text (1995)
  • One of the most universal sets of standards is published by the Reference and User Services Association (RUSA) of the American Library Association.

    Academic text (2012)
  • The development of standards, which present a universal set of musical skills and concepts, is intended to minimize a random or casual approach to what is taught.

    Academic text (2000)
  • They are usually general in nature, focusing on a universal set of entrepreneurship skills for new business development.

    Academic text (2017)
  • These principles thus imply a universal hierarchy of bureaucracy and a universal set of understandings about the management of discourse parameters within that hierarchy.

    Academic text (2003)
  • Akabayashi justifies family-facilitated informed consent by appealing to "a form of autonomy" commensurable with the absolute principle of autonomy, part of the universal set of moral principles.

    Academic text (2016)
  • In set theory, the universal set U includes every element from which other sets are formed.

  • The universal set S for a given problem contains all possible outcomes that can be considered.

Synonyms

universe
vsuniversal set
  • Specialized
136 5.1

All the people or things you look at when you study something

is the strict mathematical term used for formal set definitions

How Wide

universal set
  • Specialized
7.0
range
  • Specialized
31 3.7
domain
  • Specialized
31 8.0
interval
  • Specialized
12 3.7

Surface Forms

universal set singular

Morphology

universal + set

The term is compositionally transparent: 'universal' (applying to all) modifies 'set' (a collection), so it directly conveys a set that contains all elements under consideration. Although mathematical, the adjective+noun meaning is regular and cross-linguistically comparable, so a B1 learner who knows both words can reasonably infer the MWE's meaning.

Etymology

Universal set is like a big box that holds everything you are talking about in a problem. In Venn diagrams the rectangle around the circles shows this box, so the universal set 'contains' every element and other sets are inside it.