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We include fluctuating terms ξ i responsible for statistical description of the system dynamics 〈ξ i 〉=0, 〈ξ i (r,t)ξ j (r ′,t ′)〉=δ ij δ(t−t ′)δ(r−r ′).
To account for this, we also separate the non-linear cavity detuning term into average and fluctuating terms giving (Delta= bar{Delta }+ zeta(t)), where (zeta(t)) accounts for our applied AC forcing function (see equations (5) and (6)).
The DC component of the detuning term (bar{Delta}) is assumed to be zero, meaning the DC component of (X_{A_{mathrm{out}}}^ ) is neglected and the DC field of interest is X_{A_{mathrm{out}}}^ = biggl(frac{2kappa_{a} - kappa}{kappa} biggr) X_{A_{mathrm{in}}}^. (4) Now we address the fluctuating terms in (1).
The fluctuating terms are close to those predicted by the linear noise approximation in equation (27).
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These assumptions, in essence, are expected volatility (how much a share price is likely to fluctuate), term, the expected dividend yield, the risk-free interest rate, and the exercise price.Some critics reckon that these vagaries of valuation undermine the entire case for expensing.
"We were fluctuating in terms of quality and we might not have had enough quality in all of the positions that we have today".
General manager, Cambridge Innovation Center, Miami, Florida For years, Natalia fluctuated in terms of how she spent her money.
Yet, the results from the three LC quizzes showed that progress fluctuated in terms of the mean scores (quiz 1: ( overline{mathrm{X}} ) = 7.77; quiz 2: ( overline{mathrm{X}} ) = 8.42; quiz 3: ( overline{mathrm{X}} ) = 8.24), and there was a similar pattern of increase in both the oral and written tests of the three LC formative tests.
Here, we will use individual-based simulations of a population with a density-regulated carrying capacity where the environment is allowed to fluctuate in terms of a consistent trend and degree of autocorrelation and where we explicitly analyze the effect of different levels of selection and heritability of a single trait such as body size.
On the other hand, the human associated Bacteroidetes populations present in human feces appear to fluctuate in terms of their abundance relative to total Bacteroidetes and their prevalence.
There have been endless twists and turns with relentlessly fluctuating offers and terms.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com