Text: a relational algebraic expression has as inputs one

Correct capitalization: A relational algebraic expression has as inputs one

Text: why should this be so? why should the species which are supposed to have been created in the galapagos archipelago, and nowhere else, bear so plain a stamp of affinity to those created in america?

Correct capitalization: Why should this be so? why should the species which are supposed to have been created in the Galapagos Archipelago, and nowhere else, bear so plain a stamp of affinity to those created in America?

Text: i was keen to drive forward this positioning process with a view to developing an awareness of the cultural dimension of our work both inside and outside the company.

Correct capitalization: I was keen to drive forward this positioning process with a view to developing an awareness of the cultural dimension of our work both inside and outside the company.

Text: he became the leader of the clapham sect, a group of evangelical christians centred on his church.

Correct capitalization:
He became the leader of the Clapham Sect, a group of evangelical Christians centred on his church.