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.
(..) The shop... The shoplifting. No idea? You're not going to admit this, are you? I can't really admit to something... ...when I have no knowledge of what it is that I'm admitting. - Would you like that gift-wrapped? - Yes, actually. Don't forget to sign in. - Thank you. (..)2008 TvShow: Breaking Bad Title: A No-Rough-Stuff-Type Deal Season: 1 Episode 7