47 for it is not a vain thing for you: because it is your life; and through this thing ye shall prolong your days in the land whither ye go over jordan to possess it.

How would the previous sentence be correctly capitalized?
Answer: 47 For it is not a vain thing for you: because it is your life; and through this thing ye shall prolong your days in the land whither ye go over Jordan to possess it.
in 1881 he was invited to give a course of lectures at johns hopkins university in the usa, where his friend sylvester was professor of mathematics.

How would the previous sentence be correctly capitalized?
Answer: In 1881 he was invited to give a course of lectures at Johns Hopkins University in the USA, where his friend Sylvester was professor of mathematics.
there are quite other energies and abilities that are at present dominant in terrestrial man's consciousness.

How would the previous sentence be correctly capitalized?
Answer: There are quite other energies and abilities that are at present dominant in terrestrial man's consciousness.
energy efficiency first: fundamentally rethinking energy efficiency and treating it as an energy source in its own right so that it can compete on equal terms with generation capacity;

How would the previous sentence be correctly capitalized?
Answer: Energy efficiency first: fundamentally rethinking energy efficiency and treating it as an energy source in its own right so that it can compete on equal terms with generation capacity;