The company offered little 'by way of explanation' for the delays. [=as a way of explaining why there were delays]
Some of the more technical terms need/require 'explanation'. [=they need to be explained]
a likely/probable/possible/plausible 'explanation of' how the accident occurred
(..) there were possible combinations for Charles to try. That could take up to four minutes, which is why I really dragged out this explanation. I mean, really stretched it. I don't know if you noticed, but there were times where I was like, what am I even talking about? (..)2013 TvShow: Brooklyn Nine-Nine Title: Halloween Season: 1 Episode 6