# convex function

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## convex function

[′kän‚veks ′fəŋk·shən]
(mathematics)
A function ƒ(x) is considered to be convex over the interval a,b if for any three points x1, x2, x3 such that a <>x1<>x2<>x3<>b, ƒ (x2)≤ L (x2), where L (x) is the equation of the straight line passing through the points [x1, ƒ(x1)] and [x3, ƒ(x3)].
References in periodicals archive ?
Laminae sets that are both concave upward and convex upward, bounded by sharp bounding surfaces which themselves may be either concave or convex upward.
The experiment found that, though the group exposed to varying quantities of light did have relative spikes in pressure output, it graphically spiked initially and rotated between concave upward and concave downward with respective exposure to light and to no light.
This inductance will make the slope of varactor reactance steeper as the frequency approaches the resonant frequency, thus shaping the tuning curve concave upward, as will be seen in the next section.
It can be seen, in Figure 7, that the curve becomes concave upward as [[theta].
Mammalia, Chiroptera and Rodentia in Texas are skewed to the right and concave upward.
A shape of 1 produces a straight line, while a number greater than 1 produces a concave upward curve and a number less than 1 produces a convex upward curve.
Applied total pressure versus L/D plots in capillary dies and pressure profiles in slit dies are usually linear, but concave upward nonlinearities have also been reported for both geometries (23 through 26).
The square root and sine functions are concave downward; the others are concave upward.
A maximum concave upward warp of 61 [mu]m was predicted over the 20 mm longitudinal dimension of the base flange.

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