# exponentiation

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## ex·po·nen·ti·a·tion

(ĕk′spə-nĕn′shē-ā′shən)
n. Mathematics
The act of raising a quantity to a power.

## exponentiation

(ˌɛkspəˌnɛnʃɪˈeɪʃən)
n
(in a mathematical equation) the use of an exponent to raise the value of the base number to a power
Collins English Dictionary – Complete and Unabridged, 12th Edition 2014 © HarperCollins Publishers 1991, 1994, 1998, 2000, 2003, 2006, 2007, 2009, 2011, 2014

## ex•po•nen•ti•a•tion

(ˌɛk spəˌnɛn ʃiˈeɪ ʃən)

n.
the raising of a number to any given power.
[1900–05]
ThesaurusAntonymsRelated WordsSynonymsLegend:
 Noun 1 exponentiation - the process of raising a quantity to some assigned powerinvolutionmathematical operation, mathematical process, operation - (mathematics) calculation by mathematical methods; "the problems at the end of the chapter demonstrated the mathematical processes involved in the derivation"; "they were learning the basic operations of arithmetic"
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Demand elasticity was derived by fitting both group and individual data to the exponentiated version of Hursh and Silberberg's (2008) exponential demand equation developed by Koffarnus, Franck, Stein, and Bickel (2015) using least squares nonlinear regression performed with the Solver function in Microsoft Excel 2016:
Both panels depict exponentiated regression coefficients for the metric R in our Weibull regression models [exp([[alpha].sub.1])].
(2013) proposed a generalization for the Gumbel model using the so-called exponentiated generalized (EG) class of distributions defined by the cdf expressed as Equation 2:
Since the log odds may have little intuitive meaning, the exponentiated coefficients (risk ratios) are also presented and discussed.
= government assistance; [B.sup.e] = Exponentiated parameter to interpret odds ratio.
Exponentiated regression coefficients from the negative binomial models (mean ratios, or MR) represent the relative difference in the outcome score with a one-unit increase in the predictor.
The logit coefficients are exponentiated in order that they can be interpreted as log-odds ratios (so a value of one represents a null result).
Therefore, the odds ratio is the ratio of the odds, which simplifies to the exponentiated coefficient.
The distributions considered are the gamma-Weibull distribution [14], generalized Weibull (GW) distribution [15], exponentiated Weibull (EW) distribution [16], Marshall-Olkin Weibull (MOW) distribution [17], and the extended Poisson-Weibull (EPW) distribution [18].
the matrix [A.sup.*.sub.I] (t) commutes with its integral and may thus be exponentiated trivially.
Some of these methods include Weibull-G [1], odd generalized exponential family [2], odd Lindley-G family [3], Topp-Leone odd log-logistic-G family [4], odd Burr-G family [5], odd Frechet-G family [6], odd gamma-G family [7], transformed-transformer method [8], exponentiated transformed-transformer method [9], exponentiated generalized transformed-transformer method [10], alpha power transformed family [11 ], alpha logarithmic transformed family [12], Kumaraswamy-G family [13], beta-G family [14], Kumaraswamy transmuted-G family [15], transmuted geometric-G family [16], and beta extended Weibull family [17].
Coefficients were reported as exponentiated so they can be interpreted as a multiplicative increase.

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