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The phrase "a satisfactory description of" is correct and usable in written English.
You can use it when discussing whether a description meets certain standards or expectations in clarity or detail.
Example: "The report provided a satisfactory description of the project's objectives and outcomes."
Alternatives: "an adequate explanation of" or "a suitable account of".
Exact(31)
Given all the uncertainties involved in trying to determine the Hubble constant, at year's end the standard picture of an expanding universe still provided a satisfactory description of the history and age of the universe.(For information on eclipses and other standard astronomical events due to take place in 1995, see Table).
The second order polynomial model gave a satisfactory description of the experimental data.
Thus, it is important to obtain process models which give a satisfactory description of gain directionality.
Summary statistics of the evaluation indicated a satisfactory description of crop growth (EF > 0.50) and development (±1 day discrepancy).
Provided these are determined accurately, in our case this was achieved through the gradient descent method, then the model will provide a satisfactory description of the signal.
In spite of many obvious advantages, some models based on Brownian diffusion usually fail to provide a satisfactory description of many dynamical processes.
Similar(29)
Although this hypothesis would not replace the wave theory of light, which gives a perfectly satisfactory description of the phenomena of diffraction, reflection, refraction, and dispersion, it would supplement it by also ascribing particle properties to light.
Even though some subgrid scale characteristics of the flow are missing, the modeled field has been judged to give a rather satisfactory description of the winds over the studied region.
Yet this number must by construction differ from the outputs of every Turing machine with a satisfactory description number.
A combination of RRKM kinetics and the "sudden death" approximation, according to which decomposition occurs instantaneously, is a satisfactory description.
Finally, therefore, four coordinates (RCs) were required for satisfactory description of the hydrolysis of the glycosidic bond (Fig 3).
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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