In The Big Bang Theory: The Complete Fifth Season, Penny and Leonard's relationship is relaunched in full "beta test" mode, while Sheldon, Howard, and Raj discover the feminine mystique is something that cannot be easily graphed or calculated. As Sheldon makes begrudging amendments to his "Relationship Agreement" with his "friend-who-happens-to-be-a-girl," Amy Farrah Fowler, Raj contemplates an arranged marriage, and Howard is all-systems-go for both his NASA launch and wedding to the spirited Bernadette.