The phrase "and with the knowledge of the" is correct and usable in written English.
It can be used when indicating that someone is aware of or has been informed about something in a particular context.
Example: "The decision was made and with the knowledge of the board members, we proceeded with the project."
Alternatives: "and with the awareness of the" or "and with the consent of the".
Same tactics, same scorecards, same players – an exact rerun, as if replayed by 22 Pierre Menards – but with today's media, Twitter and with the knowledge of the West Indies attack of the 1980s?
I had put it on only twice since buying it, and on both occasions felt uncomfortable with how badly the cut fitted me and with the knowledge of the exorbitant amount I had spent on it.
Dr. Christakis of Harvard said he and his colleagues were studying the profiles of the East Coast college class with the approval of Harvard's Institutional Review Board, and with the knowledge of the unnamed college's administration — but unknown to the students being studied.
Seven years later I am back in Libya, this time on a much different mission, as the leader of a small private delegation, at the invitation of Colonel Qaddafi's chief of staff and with the knowledge of the Obama administration and members of Congress from both parties.
By considering the k-th layer and with the knowledge of the ( {widehat{boldsymbol{z}}}_{k+1:{n}_{mathrm{T}}} ) estimates at previous layers, the ẑ k unconstrained Babai point can be provided.
In other words, in S-IDNC, after obtaining a new packet, and with the knowledge of the packets that the receiver already holds, it will always be able to decode a new message that came combined within the newly arrived coded packet.
Knowledge spillover occurs when recipient firms combine the knowledge of an originating firm with other knowledge.
For anyone with passing knowledge of the Bay Area, Telegraph Avenuee" signifies "Cal Berkeley".
In particular, William argues that knowledge of a cause brings with it knowledge of the effect.
"I began with no knowledge of the art," Cameron wrote.
