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
(..) Yeah, well, you know what he's like. CSI Baker Street. Well, our boys couldn't have done it. Well, that's why we need him, he's better. That's one explanation. And what's the other? Sir Boast-a-lot was the bravest and cleverest knight at the round table. But soon the other knights began (..)2012 TvShow: Sherlock Title: The Reichenbach Fall Season: 2 Episode 3