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.
(..) Learn to know the dark side of the Force, and you will be able to save your wife... from certain death. What did you say? Use my knowledge. I beg you. You’re the Sith lord. I know what’s been troubling you. Listen to me. Don’t continue to be a pawn of the Jedi Council. Ever since I’ve known you, (..)2005 Star Wars: Episode III - Revenge of the Sith
(..) so powerful and so wise, he could use the Force to influence the midi-chlorians... to create... life. He had such a knowledge of the dark side, he could even keep the ones he cared about... from dying. He could actually... save people from death? The dark side of the Force (..)2005 Star Wars: Episode III - Revenge of the Sith