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 COACH WAS KILLED WITH CHINESE POISON. YOU SHOULD LOOK FOR SOCCER TRAINERS. THEY ARE REQUIRED TO HAVE A KNOWLEDGE OF CHINESE HERBS. She was right, of course. According to statute , every trainer of the national soccer team... ...must have a knowledge of Chinese herbs. (..)2006 The Pink Panther
(..) - Plus a spare. - Good. - Would you like some water? - Yes, please. You know, Nicole, this crime is forcing me to use all my knowledge. Everything I have learned in a lifetime of investigating is coming into play. Do you mind if I have these? I haven't eaten. Oh, please, go ahead. (..)2006 The Pink Panther