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.
(..) Dialogue: Marked=..,Default,NTP,!Effect,...you see them standing beside you. Dialogue: Marked=..,Default,NTP,!Effect,But remember this, Harry. Dialogue: Marked=..,Default,NTP,!Effect,This mirror gives us\Nneither knowledge... Dialogue: Marked=..,Default,NTP,!Effect,...or truth. (..)2001 Harry Potter and the Sorcerer's Stone