different between exponentiation vs exponential

English

Pronunciation

• (General American) enPR: ?k-sp?-n?n-sh?-?'-sh?n, IPA^(key): /??k.spo?.?n?n.?i.?e?.??n/

Noun

exponentiation (countable and uncountable, plural exponentiations)

1. (mathematics, arithmetic) The process of calculating a power by multiplying together a number of equal factors, where the exponent specifies the number of factors to multiply.

   In 5⁴, the factors are all 5, the power is 4 and exponentiation gives the result 625.

2. (mathematics, arithmetic, countable) A mathematical problem involving exponentiation.

Coordinate terms

• succession
• addition
• multiplication
• tetration
• pentation
• hexation

Translations

French

Pronunciation

Noun

exponentiation f (uncountable)

1. exponentiation (process)

English

Pronunciation

• (UK) enPR: ?k-sp?-n?n'-ch?l, IPA^(key): /??k.sp??.?n?n.t??l/
• (US) enPR: ?k-sp?-n?n'-ch?l, IPA^(key): /??k.spo?.?n?n.t??l/

Adjective

exponential

1. Relating to an exponent.
2. (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. (loosely) Characterised by a very rapid rate of change, especially increase.

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

• nonexponential

Derived terms

Translations

Noun

exponential (plural exponentials)

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

References

• UCS - The World’s Population Hasn’t Grown Exponentially for at Least Half a Century