The phrase "ability to extract a" is correct and usable in written English.
It can be used when discussing someone's skill or capacity to obtain or derive information or data from a source.
Example: "Her ability to extract a meaningful insight from complex data sets is impressive."
Alternatives: "capacity to derive a" or "skill in obtaining a".
I'm impressed by our ability to extract a sense of purpose from the random events that make up our lives.
The cellphone carriers rival Vitamin Water or Hewlett-Packard and its printer ink cartridges in their ability to extract a high-profit margin from a seemingly mundane product.
The lander has the ability to extract a sample of material from several centimeters below the comet's surface.
The main advantage of hierarchical methods is their ability to extract a hierarchy of clusters (dendrogram) which is not helpful in our target problem.
But Apple Music is now facing antitrust probes because of its industry position, its push for exclusives, and its ability to extract a cut of the subscription revenue of rivals.
The ability to extract a rich set of semantic workspace labels from sensor data gathered in complex environments is a fundamental prerequisite to any form of semantic reasoning in mobile robotics.
These revealing differences in working styles can allow managers to assemble more effective teams by playing on people's strengths and trying to ameliorate their weaknesses.The ability to extract an accurate picture of the way that teams and individuals behave in an organisation from their electronic communications works not only for CERN.
What watching 10 works showed most dramatically was her extraordinary ability to extract an essential movement quality from each performer and to create dances of great intricacy, subtlety and gestural power — sometimes delicate, sometimes brutally forceful, always looking in some way essential, as if we too could move like that if we were alone, hearing that music.
But these principles require us to think of the good as somehow imperatival (nowadays we would say 'deontic'), because otherwise there would be no explanation of our ability to extract an 'ought' from a 'good' — and nobody thinks of the good as imperatival in that way.
This ability to extract an ensemble or average from a set of objects provides a benefit to the observer, since crowding may help by making ensembles easier to compute.
The ability to extract all the information from a set of DNA sequences collected from natural populations will help answer questions about autopolyploid evolution.
