Text: they use only a fraction of the energy required by traditional lamps, and provide excellent light output and bright, warm light.

Correct capitalization: They use only a fraction of the energy required by traditional lamps, and provide excellent light output and bright, warm light.


Text: the study of continuous groups of transformations inaugurated by lie resulted in the developments by engel , killing , scheffers, schur , cartan , bianchi and fubini , a chapter which closed about the turn of the century.

Correct capitalization: The study of continuous groups of transformations inaugurated by Lie resulted in the developments by Engel , Killing , Scheffers, Schur , Cartan , Bianchi and Fubini , a chapter which closed about the turn of the century.


Text: in an interesting turn of events, south korean court today suspended jail term of samsung group’s heir and samsung electronics vice chairman, jy lee (lee jae-yong).

Correct capitalization: In an interesting turn of events, South Korean court today suspended jail term of Samsung Group’s heir and Samsung Electronics vice chairman, JY Lee (Lee Jae-yong).


Text: we won’t experience true joy and satisfaction.

Correct capitalization:
We won’t experience true joy and satisfaction.