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'll see you next week. - Keep up with the program, Dory. - Remember, fish are friends. Not food! Bye! Hold on. Here we go. Next stop, knowledge. Bye, son. Have fun. Bye, Dad. Mr Ray, wait. l forgot something. Love you, Dad. l love you, too, son. (..)2003 Finding Nemo
(..) All the rest are too deep for you and me to see l wonder where my class has gone. We're under here. There you are! Come aboard, explorers. Knowledge exploring is oh so lyrical When you think thoughts that are empirical Dad, you can go now. - Hello. Who is this? - l'm Nemo. (..)2003 Finding Nemo