trough vs concavity

trough and concavity both are nouns.

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

As nouns, concavity is a hypernym of trough; that is, concavity is a word with a broader meaning than trough:

Other hypernyms of trough include concave shape, incurvation, incurvature.

trough (noun)	concavity (noun)
a channel along the eaves or on the roof; collects and carries away rainwater	the property possessed by a concave shape
a container (usually in a barn or stable) from which cattle or horses feed	a shape that curves or bends inward
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