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
(..) I mean it's crazy. What? We finish each other's...Sandwiches! That's what I was gonna say! I've never met someone...Who thinks so much like me. Jinx... jinx again. Our Mental Synchronization Can have but one explanation, You and I were just meant to be. Say goodbye. To the pain of the past. (..)2013 Frozen