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The phrase "as a function of the initial" is correct and usable in written English.
It is typically used in mathematical, scientific, or technical contexts to describe how one variable depends on or is influenced by an initial condition or parameter.
Example: "The outcome of the experiment varied significantly as a function of the initial temperature of the solution."
Alternatives: "depending on the initial" or "in relation to the initial".
Exact(59)
As with the functional recovery discussed above, we analyzed the degree of chronic fibrosis as a function of the initial injury to determine whether there may be a difference in fibrosis.
Rather surprisingly, under these assumptions the probability of ultimate ruin as a function of the initial fortune x is exactly the same as the stationary probability that the waiting time in the single-server queue with Poisson input exceeds x.
The residual oil saturation as a function of the initial oil saturation, f(Soi).
Remnant mass fraction, w/m, as a function of the initial stellar mass, m.
No differences were observed as a function of the initial oxidation state of palladium.
We obtain the implosion velocity as a function of the initial capsule parameters and the maximum incident radiation.
Fig. 3. Ejected dust mass fraction, md/m, as a function of the initial stellar mass, m.
Fig. 2. Ejected metal mass fraction, m Z /m, as a function of the initial stellar mass, m.
The adsorption probability has been determined as a function of the initial kinetic energy and the surface temperature.
The period of the plate has been calculated as a function of the initial amplitude for four typical supporting conditions.
Specifically, we introduce a linear function, called the objective map, that defines the desired final state as a function of the initial states of the agents.
More suggestions(15)
as a function of the electric
as a proportion of the initial
as a perturbation of the initial
as a function of the oncoplastic
as a function of the fugitive
as a widening of the initial
as a function of the fundamental
as a function of the biological
as a function of the gross
as a tree of the initial
as a function of the geometrical
as a function of the corresponding
as a function of the internal
as a share of the initial
as a distribution of the initial
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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