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The phrase "as function on" is not correct in written English.
It seems to be a misphrasing and does not convey a clear meaning.
Example: "The system operates as a function on various parameters."
Alternatives: "as a function of" or "in terms of".
Exact(2)
This is numerically done by describing the underlying surface as a triangle mesh with typically <106 vertices, and considering ϕ as function on the vertices, with piecewise-linear interpolation in the faces of the mesh.
found that ADL impairment prior to admission is a stronger predictor of survival at 1-year than ADL function on admission, we found that the lack of functional reserve in an elderly person before hospitalization predicts survival probability as well as function on admission.
Similar(58)
Simple two panel plot of CXO's altitude as function of time on Day 286.
The fans of each might see them as functioning on separate planets, but they are really just different points on the spectrum.
In this work, a group of peasants are portrayed as functioning on a number of simultaneous levels, and their consciousness is meticulously described during their interaction in a parlour.
In particular, landscapes derived from RNA folding are realized on Hamming graphs and analyzed in terms of Walsh transforms; assignment problems are interpreted as functions on the symmetric group and analyzed in terms of the representation theory of Sn.
As in the univariate case, functions on (mathbb T ^q) can be considered as functions on (mathbb{R }^q), (2pi )-periodic in each variable.
Before we turn to the details, let us consider the parallel matter of sequences construed as functions on the natural numbers.
This space is also denoted by (W^{2,q}_mathrm{r}(0,R)) when all functions (uin W^{2,q}_mathrm{r}(B_R)) are regarded as functions on ((0,,R)).
At the same time, Audi is pushing forward with the digitalization of its automobiles and plants, and is expanding its business model with new digital services such as "functions on demand".
For this, it is natural to consider them as functions on (mathbf{P}_ntimes mathbf{P}_n), and not only on density matrices.
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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