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Noun curvature has 3 senses
curvature - (medicine) a curving or bending; often abnormal; "curvature of the spine"--1 is a kind of condition, status
 
curvature - the rate of change (at a point) of the angle between a curve and a tangent to the curve--2 is a kind of derived function, derivative, differential coefficient, differential, first derivative
 
 curvature, curve - the property possessed by the curving of a line or surface--3 is a kind of shape, form, configuration, contour, conformation
 --3 has particulars: curliness; straightness
 
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