Better saith he, qui finem vitae extremum
inter munera ponat naturae.
There is no reason to use more complex signals because only wave extremum
points are essential.
Differently from the aforementioned methods, the Extremum
Seeking Controller (ESC)  based MPPT generates a signal composed of a DC component added to an AC high frequency component (chattering waveform).
The search for the optimal value was not limited to finding the extremum
of the objective function (1).
Proposition 1: The Bayesian cost in (17) is symmetric with respect to the transition probability of 1/2, and reaches the extremum
when the transition probability is 1/2.
The two extremum
values [b.sub.min] and [b.sub.max] can be calculated as
Another example is necessary second-order conditions for an extremum
. Necessary, but not sufficient, conditions are implied by maximizing behavior; thus, semidefiniteness is all that can be inferred about the Hessian from the postulated behavior.
Then the task of reactor power control method optimization was completed for a 4-year fuel campaign by finding an extremum
of the objective function (3) written in a simplified form described minutely in .
These local extrema constitute the principal problem of influence fields, because any object moving in the scene may be attracted to and trapped at an extremum
. Consequently, influence fields do not ensure that the goal position is reached if one finds a local extremum
in the meanwhile.
In searching process, all particles search for the optimal solution in the solution space by current optimal particles and updating particle individual positions, individual extreme values and population extremum
The solution [t.sub.p.sup.*] of the objective functional in (1) is obtained on the basis of the necessary conditions for the extremum
existence of the functional in (1):
Depending on the surface thermal conditions, the profiles of the temperature constituents my decay monotonically toward the far field or may have an extremum
at a finite distance from the surface.