An opinion, a judgment, a surmise.
"The jury deemed the defendant innocent after reviewing the new evidence."
To judge, to pass judgment on; to doom, to sentence.
"The jury deemed the defendant guilty after carefully weighing all the evidence presented during the trial."
A surname.
"The local historian noted that several prominent families in the region took on the Deem name after migrating from Ireland."
The word "deem" comes from Old English, where it originally meant to judge or decide. Its roots trace back further to a Proto-Indo-European term meaning "to set" or "put.