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Discover LudwigThe phrase "as a function of the observation" is correct and usable in written English.
It can be used in contexts where you are discussing how something changes or is determined based on a specific observation or set of observations.
Example: "The results of the experiment varied significantly as a function of the observation made during the initial phase."
Alternatives: "in relation to the observation" or "depending on the observation".
Exact(4)
This paper develops a semi-empirical model to investigate the spectral properties of planar microcavities as a function of the observation numerical aperture (NA).
The error is plotted as a function of the observation noise variance (the error is averaged over trials).
Figure 8 shows the complexity of the proposed DOA estimation schemes as a function of the observation length (expressed in number of data blocks per frame).
Figure 1 The square root of the relative mean-square error,, of the Gibbs Sampler and the least-mean-squares estimation approach, as a function of the observation noise variance of 100, 250, 500 and 1000.
Similar(56)
A transition formula allows the calculation of the coordinates of a given observation (respectively variable) as a function of the variables (respectively observation) coordinates.
The size of the validity window varies as a function of the number of observations within the current sampling interval, the number of observations in the previous intervals, and the number of consecutive observations outside the validity window.
The performance is comprehensively studied as a function of the number of observations and of SNR.
Auto-correlation describes the similarity between observations as a function of the separation of time and space intervals between them.
We have also had interesting observations on the performance as a function of the blocklength.
To further explore this observation, we calculated the average energy output as a function of the average energy intake as depicted in Figure 4B.
SEM observations and etch rate measurements were carried out as a function of the etching solution composition.
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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