equation vs equivalence what difference

what is difference between equation and equivalence

English

Alternative forms

  • æquation (archaic)

Etymology

From Old French, from Latin aequātiō (an equalizing).
Morphologically equate +‎ -ion

Pronunciation

  • enPR: ĭkwā’zhən, IPA(key): /ɪˈkweɪʒən/; enPR: ĭkwā’shən, IPA(key): /ɪˈkweɪʃən/
  • Rhymes: -eɪʒən

Noun

equation (plural equations)

  1. The act or process of equating two or more things, or the state of those things being equal (that is, identical).
    We need to bring the balance of power into equation
  2. (mathematics) An assertion that two expressions are equal, expressed by writing the two expressions separated by an equal sign; from which one is to determine a particular quantity.
  3. (astronomy) A small correction to observed values to remove the effects of systematic errors in an observation.

Derived terms

Related terms

  • equality
  • equational
  • identity
  • inequation
  • inequality

Translations



English

Etymology

From French équivalence, from Medieval Latin aequivalentia.

Pronunciation

  • (Received Pronunciation) IPA(key): /ɪˈkwɪvələns/

Noun

equivalence (countable and uncountable, plural equivalences)

  1. (uncountable) The condition of being equivalent or essentially equal.
  2. (countable, mathematics) An equivalence relation; ≡; ~
  3. (uncountable, logic) The relationship between two propositions that are either both true or both false.
  4. (chemistry) The quantity of the combining power of an atom, expressed in hydrogen units; the number of hydrogen atoms can combine with, or be exchanged for; valency.
  5. (mathematics) A Boolean operation that is TRUE when both input variables are TRUE or both input variables are FALSE, but otherwise FALSE; the XNOR function.
  6. (geometry) A number in intersection theory. A positive-dimensional variety sometimes behaves formally as if it were a finite number of points; this number is its equivalence.
  7. (translation studies) The degree to which a term or text in one language is semantically similar to its translated counterpart.

Derived terms

Translations

Verb

equivalence (third-person singular simple present equivalences, present participle equivalencing, simple past and past participle equivalenced)

  1. (transitive) To be equivalent or equal to; to counterbalance.
    • 1646, Thomas Browne, Pseudodoxia Epidemica, London: Edw. Dod & Nath. Ekins, 1650, Book I, p. 25,[1]
      [] whether the transgression of Eve seducing, did not exceed that of Adam seduced, or whether the resistibility of his reason did not equivalence the facility of her seduction, we shall referre it unto the Schoolman.
    • 1647, Tobie Matthew, A Missive of Consolation sent from Flanders, to the Catholikes of England, Louvain, p. 53,[2]
      [] every one being struck with wonder at the vertue and patience of the sufferers, began to think that worthy the enquiring into, which men thought so much better worth then their lives; and these reflections converted more then the best verball expressions, to such auditors, as thought life not to be equivalenced by any compensation.

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