# 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.
A broad frequency-dependent maximum of the dielectric permittivity [epsilon] in PNN is observed at the temperature of extremum [T.
Therefore, the task of determining the efficiency of the traction drive is to find the extremum of the drive factor function.
5) "Ad extremum vero omnibus Fidelibus praecipitur, ne quis audeat contra harum Regularum praescriptum, aut hujus Indicis prohibitionem, libro saliquos legere, aut habere.
2-10 Hz) covered by this study, only three peak frequencies have significant level extremum and are of interest from the practical point of view.
The use of extremum seeking methods have been tested with and without constraints on combustion stability.
In order to solve the problem of function optimization, we must derive the objective function and the constraint function, and then use the extremum of the function to find the extreme point of the function and finally, the solution of the extremum as the function optimization problem (Xin, 2013).
Consequently, the achievement of the global extremum of any control criterion becomes highly problematic;
Moreover, the uniqueness of the local extremum ([t.
The second algorithm employs the use of perturbation based Extremum Seeking Control (ESC) to provide a reference slip and a Youla controller in a negative feedback loop.
For T > T1, if the lowest (highest) value for hip angular velocity (pelvis angular velocity, knee angular velocity) occurred at 100% but hadn't reached its' local extremum yet, we assigned 100% for the timing.
Maximumpower point tracking for photovoltaic optimization using ripple-based extremum seeking control," IEEE Trans.

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