# extremum

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## ex·tre·mum

(ĭk-strē′məm)
n. pl. ex·tre·ma (-mə) Mathematics
A value in the domain of a given function at which the function attains a maximum or minimum value.

[From Latin, extrēmum, neuter sing. of extrēmus, outermost, extreme; see eghs in Indo-European roots.]

## extremum

(ɪkˈstriːməm)
n, pl -mums or -ma (-mə)
(Mathematics) maths the maximum or minimum value of a mathematical function
ThesaurusAntonymsRelated WordsSynonymsLegend:
 Noun 1 extremum - the point located farthest from the middle of somethingextremity - the outermost or farthest region or pointapex, acme, vertex, peak - the highest point (of something); "at the peak of the pyramid" 2 extremum - the most extreme possible amount or value; "voltage peak"peaklimitation, limit - the greatest amount of something that is possible or allowed; "there are limits on the amount you can bet"; "it is growing rapidly with no limitation in sight"lower limit, minimum - the smallest possible quantitymaximum, upper limit - the largest possible quantity
Translations
extremum
References in classic literature ?
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) [21] 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 [2].
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 values.
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.

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