concave function

(redirected from Concave down)

concave function

[′kän‚kāv ′fəŋk·shən]
(mathematics)
A function f (x) is said to be concave over the interval a,b if for any three points x1, x2, x3 such that a <>x1<>x2<>x3<>b, f (x2)≥ L (x2), where L (x) is the equation of the straight line passing through the points [x1, f (x1)] and [x3, f (x3)].
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The concave down curves indicate maximum erosional stage and they are located east and west of HKS.
x] is increasing and concave down for a > 1 and decreasing and concave up for 0 < a < 1.
An asymptote in our across-taxon local-regional relationships could have occurred if the relationships for birds had been linear but shallower than less diverse taxa, or had been concave down.