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The radial displacement, (u_{r}^{i}), of a pipeline under band l i of the pressure p i is equal to that of the pipeline under band l1 of the pressure p i which moves (i−1)l along z axis direction.
Therefore, for each species S i, we set the balance equation for α i 's and β k 's so that the maximal exponent in the propensities of the reactions producing S i is equal to that in the propensities of the reactions consuming S i.
But Sir John was equal to that.
The distortion noise d i k can be modeled as a zero-mean complex Gaussian random variable with variance σ d i 2 = σ η i 2 (i.e., σ d i 2 is equal to that of the time-domain distortion noise).
We studied a young, healthy insured population and found the incidence of CA-CDI to be equal to that of HA-CDI, suggesting that hospital-based CDI surveillance may substantially underestimate the incidence of this infection in community settings.
However, if the new value for γ Ainf(X i,X j ) is equal to that previously found, we compare the new value of γ Asup(X i,X j ), as shown in line 22.
In the case of the random draw model, communities were assembled by drawing individuals with replacement at random from a pool of individual birds of species known to breed in woodlands in Britain, where the probability of an individual of species i being drawn was equal to that species' relative abundance in the source pool.
The bed (i∗) (i=1,2) consists of only one particle component i, and it is assumed that the drag force acting on the particle component i in this bed is equal to that acting on component i in the mixed layer.
Thus the optimal value P i of problem (18) is equal to that of (11), and we can solve (18) instead of (11).
(i) The dimension of x is equal to that of y, i.e. (n=m).
I claim this expression is equal to that expression, so simplifying a bit I'm going to get you should just watch to make sure I don't get this wrong–I'm going to get 40Q, so this implies 40Q is equal to 60 1-Q).
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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