concavity vs trough

concavity and trough both are nouns.

Word	Noun	Adjective	Verb	Adverb
concavity	Yes	No	No	No
trough	Yes	No	No	No

As nouns, trough is a hyponym of concavity; that is, trough is a word with a more specific, narrower meaning than concavity:

concavity (noun)	trough (noun)
the property possessed by a concave shape	a channel along the eaves or on the roof; collects and carries away rainwater
a shape that curves or bends inward	a container (usually in a barn or stable) from which cattle or horses feed
	a long narrow shallow receptacle
	a narrow depression (as in the earth or between ocean waves or in the ocean bed)
	a treasury for government funds
	a concave shape with an open top