Please capitalize where necessary: he was awarded his ba in 1959 and began to undertake research in number theory supervised by harold davenport .
A: He was awarded his BA in 1959 and began to undertake research in number theory supervised by Harold Davenport .

Please capitalize where necessary: the contemplation in memory of those glimpses will help him to weaken the power of negative thoughts and to weaken, however slightly, the very source of those thoughts, the ego.
A: The contemplation in memory of those glimpses will help him to weaken the power of negative thoughts and to weaken, however slightly, the very source of those thoughts, the ego.

Please capitalize where necessary: "it's mainly slurry handling.
A: "It's mainly slurry handling.

Please capitalize where necessary: your ta0 file analysis report will then be displayed directly below in this browser window.
A:
Your TA0 file analysis report will then be displayed directly below in this browser window.