The phrase "after a deep study" is correct and usable in written English.
It can be used to indicate that something is being discussed or concluded following thorough examination or analysis of a subject.
Example: "After a deep study of the data, we concluded that the hypothesis was valid."
Alternatives: "following an extensive analysis" or "after thorough research".
Two different PCM were selected after a deep study of the requirements of a real solar cooling plant and the available materials in the market through literature review and DSC analysis.
One Orthodox resident of Beijing told me he knew of about two dozen Chinese converts to Orthodoxy; they were usually people who had switched from evangelical Christianity or Catholicism after a deep study of Christian history.
However, after a deep study of the work done by Li et al., it is noticed that the multiplication of two trapezoidal fuzzy numbers, proposed by Li et al. as well as used in this method, is not valid.
Mundici (1986) started a deeper study of MV-algebras.
Yet according to the inspector general's report, not even JIEDDO possessed sufficient suspicion to link the Fatima Group to IEDs, nor did the DIA find any evidence of illicit activity by Fatima after a "deep-dive study".
Historian and naturalist Pliny, after much deep study, decided they were calluses of the earth.
"This has made evaluating the agreement a difficult and deliberate endeavour, and after deep study, careful thought and considerable soul-searching, I have decided I must oppose the agreement and will vote yes on a motion of disapproval".
After telling the reporter, at a joint news conference with Swedish Prime Minister Stefan Lofven, that "we're doing a very, very deep study," Trump segued confusingly to handicapping Republicans' chances in November's vote.
She later gave away her first set point, double-faulting, but after a deep breath and a long, studied exhalation, Hingis knocked a first serve wide that Seles could not handle.
According to the manufacturer's recommendations, in this study measurements were performed during a sustained exhalation after a deep breath to total lung capacity, followed by a 15 s breath-hold.
After a deep breath, I followed.
