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The phrase "as the function for" is correct and usable in written English.
It can be used when describing the role or purpose of something in relation to a function or operation.
Example: "The algorithm serves as the function for optimizing the data processing speed in the system."
Alternatives: "serving as the role for" or "acting as the purpose for".
Exact(1)
The potential function ( Vleft( {vec{x}} right) ) can be defined over the same ( n )-dimensional feature space and defined as the function for which ( varphi left( {vec{x}} right) ) satisfies the time-independent Schrodinger equation.
Similar(58)
Consider the function for defined as (3.1).
We propose to use Raw function as the kernel function for the training as well as prediction.
An arbitrary time dependant body heat generation is applied on the actuator as the excitation function for the latter equations.
As far as the fitness of the particle is considered, we use the utility function in (8) as the fitness function for the PSO-based power allocation.
The tangent hyperbolic sigmoid (Tansig) function as the most common one in the relevant literature is used as the activation function for the nodes of all layers.
Thus, the simulation experiment used here is the radial basis function as the kernel function for the SME credit risk evaluation model for SCF.
Minimisation of the median value was adopted as the objective function for the needs of this study; therefore, the reasons for that were given in [ 19].
Hankel functions and Bessel functions are chosen as the basis function for the solution of the unbounded and bounded domains, respectively.
Generally, the biomass equation is set as the objective function for the simulation of optimal growth and other model evaluations such as essentiality study.
The minimal power disruption is taken as the objective function for the controlled islanding scheme.
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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