'act under supervision' is a correct and usable phrase in written English.
It usually means to do something while someone else is watching you and making sure it is done correctly. For example, you can say: "The interns were asked to act under supervision while they worked on the project."
The practitioner who prescribed the medication was a nurse who could only act under the supervision of a physician.
All animal experiments were performed in accordance with the U.S. Animal Welfare Act, under the supervision of Cornell University's Animal Care and Use Committee, and were conducted as previously described with some modifications [30].
The Guided Response step involves the learner performing the motor act under the supervision and guidance of a teacher.
For instance, they had the status of judiciary officers who acted under the supervision of the Justice Ministry.
They acted under the supervision of Special Forces, who instructed them on clearing munitions from the Mukhaiyam Mosque and shrine and from the high school.
While it operates within the Department of Defense, the NSA also belongs to the Intelligence Community (a coalition of 17 intelligence agencies) and as such acts under the supervision of the director of national intelligence.
Also a high but not optimal number of patients (101, 86.3%) had taken a dose of ACT at the clinic under supervision.
Hunter and his team defined school violence as "any intentional verbal or physical act producing pain in the recipient of that act while the recipient is under supervision of the school" [ 21].
CvB, under supervision of LB and NvD, was responsible for writing this paper, and will act as trial coordinator.
Please keep your children under supervision".
Capitalism has failed under supervision of London and America.
