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exponential - 6 dictionary results

ex⋅po⋅nen⋅tial

  [ek-spoh-nen-shuhl, -spuh-]
Use exponential in a Sentence
–adjective
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 e3 x, which is the exponential of 3x.
b. any positive constant raised to a power.
Origin:
1695–1705; exponent + -ial

Related forms:
ex⋅po⋅nen⋅tial⋅ly, adverb
Dictionary.com Unabridged
Based on the Random House Dictionary, © Random House, Inc. 2009.
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ex·po·nen·tial   (ěk'spə-něn'shəl)   
adj.  
  1. Of or relating to an exponent.
  2. Mathematics
    1. Containing, involving, or expressed as an exponent.
    2. Expressed in terms of a designated power of e, the base of natural logarithms.
ex'po·nen'tial·ly adv.
The American Heritage® Dictionary of the English Language, Fourth Edition
Copyright © 2009 by Houghton Mifflin Company.
Published by Houghton Mifflin Company. All rights reserved.
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Exponential

Ex`po*nen"tial\, a. [Cf. F. exponentiel.] Pertaining to exponents; involving variable exponents; as, an exponential expression; exponential calculus; an exponential function.

Exponential curve, a curve whose nature is defined by means of an exponential equation.

Exponential equation, an equation which contains an exponential quantity, or in which the unknown quantity enters as an exponent.

Exponential quantity (Math.), a quantity whose exponent is unknown or variable, as a^x.

Exponential series, a series derived from the development of exponential equations or quantities.
Webster's Revised Unabridged Dictionary, © 1996, 1998 MICRA, Inc.
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Main Entry: ex·po·nen·tial
Pronunciation: "ek-sp&-'nen-ch&l
Function: adjective
: expressible or approximately expressible by anexponential function exponential growth rate> —ex·po·nen·tial·ly /-'nench-(&-)lE/ adverb
Merriam-Webster's Medical Dictionary, © 2002 Merriam-Webster, Inc.
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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
Copyright © 2002. Published by Houghton Mifflin. All rights reserved.
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exponential
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, © 1993-2007 Denis Howe
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