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"from the observations" is a correct and usable phrase in written English.
It can be used as a prepositional phrase to indicate the source or origin of something. Here is an example sentence: "From the observations made by the scientists, it was clear that climate change is occurring at an alarming rate."
Exact(58)
The inequalities (26) follow from the observations (27).
However, quantitatively, the model profiles deviate considerably from the observations.
We recommend a method that obtains a bootstrap RSS from the observations.
From the observations, it was clear that with increasing concentration of WSE the whiteness decreased.
The total ice number concentrations produced by the model are different from the observations.
Our assignment is to estimate the target scattering vector X t from the observations.
The rest of the parameters, including (z(t)), are estimated from the observations.
From the observations of various delay settings, we recover temporal PSFs of the sub-nanosecond resolution.
We discuss the details of our attempt from "The observations" section onwards.
V(D) is computed from the observations of the message arrival times.
From the observations made, a model summarizing the splat formation process has been proposed.
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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