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The phrase "ability to extract from" is correct and usable in written English.
It can be used when discussing someone's skill or capability to obtain information or data from a source.
Example: "Her ability to extract from complex datasets allows her to draw meaningful conclusions."
Alternatives: "capacity to derive from" or "skill to obtain from".
Exact(4)
As the Czech principal conductor of the BBC Symphony Orchestra, Jiří Bělohlávek explains: "I think the richness of styles in Martinů's work is due to his inextinguishable thirst for novelty and inspiration, and his ability to extract from many sources the right amount of elements into his own musical language.
I've always thought, with my amateur's ear, that Fauré is second only to Beethoven in the power of his decomposition — in his ability to extract, from a melody, a tiny and dense thematic node or phrase that becomes, in turn, the basis for new flights of imagination that kaleidoscopically reveal the musical and emotional essence of the original melody.
The strategy that we have used for this purpose relies on the ability to extract from time and spatially averaged data the contributions to the experimental observables that come from the low-population states present as a result of conformational fluctuations.
Thus, currently the most likely explanation is that geographic variation in the plumage signal is conferred by genetically based differences in the physiological ability to extract (from food), absorb, modify, transport, and deposit ingested carotenoids [ 30, 31], though other explanations are possible.
Similar(56)
Saying that "Bridgeport clearly will survive," Richard T. Meehan Jr., Mr. Ganim's chief defense lawyer, contended at the sentencing that the city benefited from Mr. Ganim's leadership style and even from his ability to extract something from those he dealt with.
The accuracy of direct sequencing of full-length virion RNA from HIV-1 relies on the ability to extract RNA from clinical materials, to conduct cDNA synthesis, and to amplify the cDNA successfully.
However, current approaches typically suffer from high computational complexity or lack of ability to extract knowledge from a given set of training data.
In diabetes, it destroys a function that's essential to the body's ability to extract fuel from food and to keep freely circulating blood sugar from damaging organs and blood vessels.
The FCA will also impose stricter limits on their ability to extract money from bank accounts.
Heureka gives organizations the ability to extract intelligence from dark data.
Yet scientists' ability to extract meaning from this information has not kept pace.
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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