# exponential

## exponential

[ek-spoh-nen-shuhl, -spuh-]
1.
of or pertaining to an exponent or exponents.
2.
Mathematics.
a.
of or pertaining to the constant e.
b.
(of an equation) having one or more unknown variables in one or more exponents.
noun
3.
Mathematics.
a.
the constant e raised to the power equal to a given expression, as e 3 x, which is the exponential of 3 x.
b.
any positive constant raised to a power.

Origin:
1695–1705; exponent + -ial

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Based on the Random House Dictionary, © Random House, Inc. 2014.
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World English Dictionary
 exponential (ˌɛkspəʊˈnɛnʃəl) —adj 1. maths (of a function, curve, series, or equation) of, containing, or involving one or more numbers or quantities raised to an exponent, esp ex 2. maths exp raised to the power of e, the base of natural logarithms 3. of or involving an exponent or exponents 4. informal very rapid —n 5. maths an exponential function, etc expo'nentially —adv

Collins English Dictionary - Complete & Unabridged 10th Edition
2009 © William Collins Sons & Co. Ltd. 1979, 1986 © HarperCollins
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Etymonline
Word Origin & History

exponential
1704, from exponent + -al (1). Related: Exponentially.
Online Etymology Dictionary, © 2010 Douglas Harper
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American Heritage
Science Dictionary
 exponential   (ěk'spə-něn'shəl)  Pronunciation Key  Relating to a mathematical expression containing one or more exponents. ◇ Something is said to increase or decrease exponentially if its rate of change must be expressed using exponents. A graph of such a rate would appear not as a straight line, but as a curve that continually becomes steeper or shallower.
The American Heritage® Science Dictionary
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FOLDOC
Computing Dictionary

### exponential definition

1. A function which raises some given constant (the "base") to the power of its argument. I.e.
f x = b^x
If no base is specified, e, the base of natural logarthims, is assumed.
2. exponential-time algorithm.
(1995-04-27)
The Free On-line Dictionary of Computing, © Denis Howe 2010 http://foldoc.org
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Example sentences
Making prediction using exponential calculation is no better than ball-park
estimation.
The inbred wolf population started to grow at an exponential rate.
Evolution is certainly not an exponential process, but a gradual one.
These tequilas have experienced exponential demand and high prices.
Nearby Words