The phrase "a projection of their" is correct and usable in written English.
It can be used when discussing an estimation or forecast based on someone's beliefs, thoughts, or characteristics.
Example: "The report is a projection of their future sales based on current market trends."
Alternatives: "an estimate of their" or "a forecast of their".
The people who come to this kind of thing, the vendors, these foods are a projection of their personality".
In her case, she said, she felt that directors often chose her because she was a projection of their fantasy of the ideal woman.
Another is that most Tories, partly as a projection of their own divisions, are vehemently against the coalition; though David Cameron, the Tory prime minister, is not.
"If I want to make a show, for example, about how everyone's world view is just a projection of their inner selves, the best way to communicate that, emotionally and intellectually, is make you feel it and do it yourself".
In my mind, the girl must be accustomed to dealing with creeps like Jeb, and she knows that the way to manage their foolish expectation that every woman is "up for grabs" is to cut the shit, step out of the game, and show them that she is not just a projection of their fantasies.
2. Don't take anything personally (Nothing that others do is because of you, it is all a projection of their own reality).
A projection of a computer screen blocked their view of the hand.
Thus, Friere would consider the participatory process as oppressive as it acts as a barrier to an individual's ability to pursue a truth and a projection of themselves that is generated from their own reflection.
As a component of investment framework guidance from the Joint United Nations Programme on HIV/AIDS (UNAIDS), OECS countries have conducted quantitative analyses of trends in the HIV epidemic, the impact of prevention and treatment efforts to date, and a projection of possible future programming scenarios and their implications for the epidemic and program costs.
Five artists, or groups of artists, from each of the five cities involved in New Monuments for New Cities were invited to respond to the questions and to create a poster or projection of their ideal monument.
Multiple cameras recorded images of an employee at Nitto Denko; these images were processed to create the data to write each hogel, and sent to the group in Arizona, where the holographic display showed a 3-D projection of their California collaborator.
