the worst thing, however, is that what was actually written in the lancet is completely different from what the public was told.

How would the previous sentence be correctly capitalized?
Answer: The worst thing, however, is that what was actually written in The Lancet is completely different from what the public was told.
this allows the intelligence of windows to decide the correct software application to open your hme file.

How would the previous sentence be correctly capitalized?
Answer: This allows the intelligence of Windows to decide the correct software application to open your HME file.
adding more people to the team who will be able to check security problems and review code should improve debian security significantly.

How would the previous sentence be correctly capitalized?
Answer: Adding more people to the team who will be able to check security problems and review code should improve Debian Security significantly.
when farkas bolyai was offered a job at the calvinist college in marosvásárhely he was rather reluctant to accept but his father, wanting his son to have a secure job, pressed him to accept. bolyai taught mathematics, physics and chemistry at marosvásárhely for the rest of his life.

How would the previous sentence be correctly capitalized?
Answer: When Farkas Bolyai was offered a job at the Calvinist College in Marosvásárhely he was rather reluctant to accept but his father, wanting his son to have a secure job, pressed him to accept. Bolyai taught mathematics, physics and chemistry at Marosvásárhely for the rest of his life.