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

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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