exponential
Language: English
Part of speech: adj
Pronunciation: enpr: ĕk-spō-nĕn'-chəl
ipa: /ˌɛk.spəˈnɛn.t͡ʃəl/
ipa: /ˌɛk.spəʊˈnɛn.tʃəl/
enpr: ĕk-spō-nĕn'-chəl
ipa: /ˌɛk.spəˈnɛn.t͡ʃəl/
ipa: /ˌɛk.spoʊˈnɛn.t͡ʃəl/
ipa: /ˌek.spəˈnen.t͡ʃəl/
Etymology: From exponent + -ial.
Senses: glosses: Relating to an exponent.
examples: text: In base-10 exponential form, 1,000,000 is written as 10⁶.
text: If not otherwise specified, "the" exponential function is normally understood to mean eˣ.
topics: mathematics
sciences
glosses: Expressed in terms of an exponent (power of a base), the base often being 10 or e.
examples: text: There were two deaths on Monday, four on Tuesday, and eight on Wednesday. The rate of increase seems exponential.
text: ... Students apply the definition of slope to various representations of growth functions to discover differences between exponential and constant rate of growth.
ref: 2013, Yvelyne Germain-McCarthy, Bringing the NCTM Standards to Life: Best Practices, High School, page 101:
topics: mathematics
sciences
coordinate_terms: arithmetic
geometric
glosses: 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.
examples: text: Near-synonyms: extreme, huge
text: There's been an exponential rise in the number of crimes reported this year, compared to last year.
text: If loans are not what you are looking for, then search for scholarships [...] I have been putting together scholarship letters for parents over the past decade, and there is an exponential amount of money to be had.
ref: 2011, Michael Kiers, College Convo - Overview of College Admissions https://www.google.co.uk/books/edition/College_Convo_Overview_of_College_Admiss/MqvdAwAAQBAJ?hl=en&gbpv=1&dq=%22exponential+amount%22&pg=PA26&printsec=frontcover:
text: It is also about an arms control forum that has been meeting just once every five years for decision making on topics that are moving with exponential velocity [...]
ref: 2013, Daniel M. Gerstein, National Security and Arms Control in the Age of Biotechnology https://www.google.co.uk/books/edition/National_Security_and_Arms_Control_in_th/Bf2tAAAAQBAJ?hl=en&gbpv=1&dq=%22exponential+velocity%22&pg=PR11&printsec=frontcover:
text: 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.
ref: 2018 July 31, Alvin Carpio, “Is it time to automate politicians?”, in The Economist:
glosses: Characterised by a very rapid rate of change, especially increase, or merely a very large amount or degree.
Derived terms: biexponential
coexponential
exponential decay
exponential distribution
exponential equation
exponential function
exponential generating function
exponential growth
exponentiality
exponentialize
exponentially
exponential map
exponential object
exponential smoothing
exponential time
hyperexponential
hypoexponential
midexponential
mono-exponential
monoexponential
multiexponential
nonexponential
polyexponential
postexponential
preexponential
pre-exponential
subexponential
superexponential
tetraexponential
triexponential
uniexponential