'Non-articulated' means fixed screen - one that does not move at all.
Exactly what constitutes 'fully articulated' as opposed to 'partially articulated' varies by manufacturer. For example, Sony NEX5 LCD can only tilt up or down (IIRC). That would be 'partially articulated'. LCD on Canon T3i can be flipped out and turned down, up, or full 180 to face same way as camera. If that is not 'fully articulated', that's a lot closer to it than NEX5
Then again, I understand that Sony A77 LCD is even more articulated...