extremum

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extremum

[ek′strēm·əm]
(mathematics)
A maximum or minimum value of a function. Also known as extreme.
References in periodicals archive ?
The purpose is to maximize the objective functional (1) on conditions of (2) and (3) by finding such function of c that delivers the wanted maximum of the profit formation; and for the general view integral of (4) there are the necessary conditions for the extremum existence in the view of the well-known Euler-Lagrange equation [25]:
As shown in Figure 4, the extremum of the thermal compensation capacity of EAHRU occurred in the morning and evening when the electrical load of the air conditioning and lighting systems was highest in winter.
From Figure 8(a), it can be seen that the frequency bands with local SPL extremums are obviously attenuated in the central gap.
The extremum of the negative center is [E.sub.z] = -124.2 kV/m, while the positive extremum is [E.sub.z] = 65.6 kV/m.
where max[f(m)] and min[f(m)] represent a pair of adjacent extremums. During the experiment, peak-peak value is the key index.
Therefore, the decided moments for the switch triggering and extremums detection are approximately optimum.
The algorithm allows to find all local and global extremums of the objective function, which may be non-convex and non-smooth.
From the thermal behaviour of XRD properties of apatite of Recent pike vertebrae we can draw the following conclusions: (1) heating results in a weight loss of about 3.05 wt%, caused by emanation of carbonate ion from bioapatite lattice; (2) during this process the values of apatite lattice parameters change in a complicated manner and have several extremums, which is different from the known fossilization trend; the apatite, heated up to 900[degrees]C has lattice parameters a = 9.419 [Angstrom] and c = 6.881 [Angstrom]; and (3) aggregation of crystallites takes place during heating, being strongest at temperatures higher than 600[degrees]C; at the temperature of 900[degrees]C crystallites achieve approximate dimensions of 1000 x 1000 [Angstrom].
When a PV system is subjected to partial shading, the PV curve often exhibits a global extremum and several local extremums, as shown in Figure 8.
The function of partial derivative is smooth, and its use allows efficiently and automatically set the border of the extremum, which corresponds to the limit of stations' removal.
An idea on the basis of difference and extremum is put forward in this section to calculate the timing.