English edit

 
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Etymology edit

exponent +‎ -ial

Pronunciation edit

  • (UK) enPR: ĕk-spō-nĕn'-chəl, IPA(key): /ˌɛk.spəʊ.ˈnɛn.tʃəl/
  • (US) enPR: ĕk-spō-nĕn'-chəl, IPA(key): /ˌɛk.spoʊ.ˈnɛn.t͡ʃəl/
  • (file)

Adjective edit

exponential

  1. Relating to an exponent.
  2. (Can we verify(+) this sense?) (mathematics) Expressed in terms of a power of e.
  3. (mathematics) Characterised by a rate of change that is proportional to the value of the varying quantity, or, equivalently, by a doubling or halving over successive fixed intervals of time or other parameter.
    exponential growth, exponential decay
    There were two deaths on Monday, four on Tuesday, and eight on Wednesday. The rate of increase seems exponential.
  4. (Discuss(+) this sense) (loosely) Characterised by a very rapid rate of change, especially increase.
    • 2013, Yvelyne Germain-McCarthy, Bringing the NCTM Standards to Life: Best Practices, High School, page 101:
      ... Students apply the definition of slope to various representations of growth functions to discover differences between exponential and constant rate of growth.
    • 2018 July 31, Alvin Carpio, “Is it time to automate politicians?”, in The Economist:
      Of course, one can creatively conjure up a host of things robot-politicians can do at exponential speed and scale, from shaking hands and kissing babies to handling the fundraising “robocalls” that frustrate American voters.

Usage notes edit

  • In non-technical contexts, the term is sometimes used loosely to refer to any kind of very rapid change, especially increase. This usage is often discouraged unless the change in question is truly exponential; synonyms such as dramatic may be favored instead.

Antonyms edit

Derived terms edit

Translations edit

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Noun edit

exponential (plural exponentials)

  1. (mathematics) Any function that has an exponent as an independent variable.
    Synonym: exponential function

References edit