question: in addition he gave lecture courses on the foundations of mathematics, irrational numbers , and set theory. schappacher notes in however:
Capitalize this past sentence correctly.
A: In addition he gave lecture courses on the foundations of mathematics, irrational numbers , and set theory. Schappacher notes in however:

question: unix-on-intel players work on a common binary format
Capitalize this past sentence correctly.
A: Unix-on-Intel players work on a common binary format

question: the result was a solution which proved to be highly effective, named the "cal-mag formula."
Capitalize this past sentence correctly.
A: The result was a solution which proved to be highly effective, named the "Cal-Mag Formula."