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
(..) It's too much sugar, that's all! No no! Hold on now! I basically live on sugar and we've never had these problems before. The only other explanation is... No, no. It's silly. What? Well... I feel ridiculous even saying it but... Where I worked before, (..)2006 TvShow: The IT Crowd Title: Aunt Irma Visits Season: 1 Episode 6