question: one had to be hadamard to dare to undertake the exposition of all of [ poincare 's] immense work which dealt with so many different areas, and to finish it in one summer.
Capitalize this past sentence correctly.
A: One had to be Hadamard to dare to undertake the exposition of all of [ Poincare 's] immense work which dealt with so many different areas, and to finish it in one summer.

question: usually players must earn 100,000 points in three consecutive months in order to achieve this elite status.
Capitalize this past sentence correctly.
A: Usually players must earn 100,000 points in three consecutive months in order to achieve this elite status.

question: he then returned to work on analysis, in particular studying differential equations arising from hydrodynamics.
Capitalize this past sentence correctly.
A: He then returned to work on analysis, in particular studying differential equations arising from hydrodynamics.