# 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"
Based on WordNet 3.0, Farlex clipart collection. © 2003-2012 Princeton University, Farlex Inc.
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When a log link is used, the multiplicative effect of a covariate on the population-average mean is easily obtained on the original scale by exponentiating the corresponding parameter(s).
On exponentiating the expression in brackets in the integrand in this expression, we obtain the first-order phase perturbation theory expression for [R.sub.v](q|k),
and due to the nonvanishing commutator [[A.sup.*] (t), [[integral].sup.t.sub.0] [A.sup.*](s)ds] [not equal to] 0, obtaining the propagator via exponentiating the above matrix generally involves time-ordering or some other cumbersome procedure.
To obtain a multiplicative model for the odds, exponentiating the previous equation and solving for the probability g in the logit model will give rise to the final formula:
The fitted curve shown in Figure 1b is derived from the first harmonic for season; the displayed curve was computed by exponentiating the logarithm of the fitted adjusted hazard ratio at mean values of the covariates (entered as means of corresponding dummies for categorical variables): education, region, maternal age, maternal age squared, marital status, maternal smoking, primiparity, and interaction between region and primiparity (included because it significantly improved the fit of the model using a likelihood ratio test with p <0.05).
The estimated overall percent change was calculated by first converting the AAPC to the projected single year change in prevalence and then exponentiating to the number of years studied minus one to estimate the total increase throughout the 18 years.
All estimates for Poisson regression coefficients are on a log scale, which can be converted to odds ratio by exponentiating the regression coefficient estimates.
Hazard ratios can be obtained by exponentiating the coefficients reported for each variables.
Ratios were also estimated by exponentiating the beta coefficient values obtained from the simple linear regression.
Next, by exponentiating the regression coefficient we obtain the incidence rate ratio (IRR) for the coefficient regression which translates into a multiplicative factor of [e.sup..252] = 1.28.

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