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.

The

extremums affect highly the values of [bar.x] and s, so every statistical method consists of reducing the influence of

extremums.

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.