I answered their questions 'to the best of my knowledge'. [=I gave the best answers I could based on what I knew, but I might have answered differently if I had known something else]
No one arrived late 'to my knowledge'. [=I am not aware that anyone arrived late, but it is possible that someone arrived late and I don't know about it]
They went on vacation, 'safe in the knowledge' that the farm would be well cared for while they were away.
(..) We heard a rumor Mance Rayder was planning to attack Eastwatch. So we went out to look for some of his men - capture them, gather some knowledge. The wildlings who fight for Mance Rayder are hard men. Harder than you'll ever be. They know their country better than we do. (..)2011 TvShow: Game of Thrones Title: Cripples, Bastards, and Broken Things Season: 1 Episode 4