exponential

English

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Etymology

From exponent + -ialCategory:English terms suffixed with -ial#EXPONENTIAL.

Pronunciation

Adjective

exponentialCategory:English lemmas#EXPONENTIALCategory:English adjectives#EXPONENTIALCategory:English entries with incorrect language header#EXPONENTIALCategory:Pages with entries#EXPONENTIALCategory:Pages with 1 entry#EXPONENTIAL

  1. (mathematicsCategory:en:Mathematics#EXPONENTIAL) Expressed in terms of an exponent (power of a base), the base often being 10 or e.
    In base-10 exponential form, 1,000,000 is written as 106.Category:English terms with usage examples#EXPONENTIAL
    If not otherwise specified, "the" exponential function is normally understood to mean ex.Category:English terms with usage examples#EXPONENTIAL
  2. (mathematicsCategory:en:Mathematics#EXPONENTIAL) 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, described as exponential growth or exponential decay.
    Coordinate terms: arithmetic, geometric
    There were two deaths on Monday, four on Tuesday, and eight on Wednesday. The rate of increase seems exponential.Category:English terms with usage examples#EXPONENTIAL
    • 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.
      Category:English terms with quotations#EXPONENTIAL
  3. (loosely) Characterised by a very rapid rate of change, especially increase, or merely a very large amount or degree.
    Near-synonyms: extreme, huge
    There's been an exponential rise in the number of crimes reported this year, compared to last year.Category:English terms with usage examples#EXPONENTIAL

Usage notes

  • 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

Derived terms

Translations

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Noun

exponential (plural exponentials)Category:English lemmas#EXPONENTIALCategory:English nouns#EXPONENTIALCategory:English countable nouns#EXPONENTIALCategory:English entries with incorrect language header#EXPONENTIALCategory:Pages with entries#EXPONENTIALCategory:Pages with 1 entry#EXPONENTIAL

  1. (mathematicsCategory:en:Mathematics#EXPONENTIAL) Any function that has an exponent as an independent variable.
    Synonym: exponential function

Translations

References

Category:en:Functions#EXPONENTIAL
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