equivalent
Pronunciation
  • (RP) IPA: /ɪˈkwɪvələnt/
  • (America) IPA: /ɪˈkwɪvələnt/
  • (British) IPA: /ɪˈkwɪvələnt/
Adjective

equivalent

  1. Similar or identical in value, meaning or effect; virtually equal.
    • For now to serve and to minister, servile and ministerial, are terms equivalent.
  2. (mathematics) Of two sets, having a one-to-one correspondence; equinumerous.
    • Comprehensive MCQ's in Mathematics, page 3 ↗:
      Finite sets A and B are equivalent sets only when n(A) = n(B) i.e., the number of elements in A and B are equal.
    • 1950, E. Kamke, Theory of Sets, page 16 ↗:
      All enumerable sets are equivalent to each other, but not to any finite set.
    • 2000, N. L. Carothers, Real Analysis, page 18 ↗:
      Equivalent sets should, by rights, have the same "number" of elements. For this reason we sometimes say that equivalent sets have the same cardinality.
    • 2006, Joseph Breuer, Introduction to the Theory of Sets, page 41 ↗:
      The equivalence theorem: If both M is equivalent to a subset N1 of N and N is equivalent to a subset M1 of M, then the sets M and N are equivalent to each other.
  3. (mathematics) Relating to the corresponding elements of an equivalence relation.
  4. (chemistry) Having the equal ability to combine.
  5. (cartography) Of a map, equal-area.
  6. (geometry) Equal in measure but not admitting of superposition; applied to magnitudes.
    A square may be equivalent to a triangle.
Translations Translations Translations Noun

equivalent (plural equivalents)

  1. Anything that is virtually equal to something else, or has the same value, force, etc.
    • 18, Thomas Babington Macaulay, chapter 7, in The History of England from the Accession of James the Second, volume (please specify ), London: Longman, Brown, Green, and Longmans, OCLC 1069526323 ↗:
  2. (chemistry) An equivalent weight.
Translations Verb

equivalent (equivalents, present participle equivalenting; past and past participle equivalented)

  1. (transitive) To make equivalent to; to equal.



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