extremum$511694$ - definition. What is extremum$511694$
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%ما هو (من)٪ 1 - تعريف

LARGEST AND SMALLEST VALUE TAKEN BY A FUNCTION IN A GIVEN RANGE
Relative extrema; Extreme value; Maximum; Minimum; Local minimum; Global minimum; Local maximum; Global maximum; Local minima; Local extremum; Extremum; Global optimum; Absolute extremum; Maximum point; Minimum point; Global extremum; Globally optimal; Minima and maxima; Maximize; Minima; Local extrema; Local maxima; Absolute extreme; Extreme record; Maximum (mathematics); Relative maximum; Relative Maxima; Maxima & minima; Min and max; Max and min; Minimum (mathematics); Miminum; Maximums and minimums; Strict maximum; Strict minimum; Global extrema; Global minimum point; Global maximum point; Extrema (mathematics); Extrema of a function; Maximum value; Maxima and minima
  • Local and global maxima and minima for cos(3π''x'')/''x'', 0.1≤'' x ''≤1.1
  • Counterexample: The red dot shows a local minimum that is not a global minimum
  • The global maximum is the point at the top
  • [[Peano surface]], a counterexample to some criteria of local maxima of the 19th century

Extremum estimator         
  • '''ℝ''']]}} in this example), then even if the objective function is uniquely maximized at ''θ''<sub>0</sub>, this maximum may be not well-separated, in which case the estimator <math style="vertical-align:0">\scriptscriptstyle\hat\theta</math> will fail to be consistent.
WIDE CLASS OF ESTIMATORS CALCULATED THROUGH MAXIMIZATION OR MINIMIZATION OF SOME OBJECTIVE FUNCTION
Extremum estimators
In statistics and econometrics, extremum estimators are a wide class of estimators for parametric models that are calculated through maximization (or minimization) of a certain objective function, which depends on the data. The general theory of extremum estimators was developed by .
Maxima and minima         
In mathematical analysis, the maxima and minima (the respective plurals of maximum and minimum) of a function, known collectively as extrema (the plural of extremum), are the largest and smallest value of the function, either within a given range (the local or relative extrema), or on the entire domain (the global or absolute extrema). Pierre de Fermat was one of the first mathematicians to propose a general technique, adequality, for finding the maxima and minima of functions.
Trichoplon         
GENUS OF INSECTS
Trichoplon extremum
Trichoplon extremum is a species of beetle in the family Cerambycidae, the only species in the genus Trichoplon.Bezark, Larry G.

ويكيبيديا

Maximum and minimum

In mathematical analysis, the maximum (PL: maxima or maximums) and minimum (PL: minima or minimums) of a function, known generically as extremum (PL: extrema), are the largest and smallest value taken by the function, either within a given range (the local or relative extrema), or on the entire domain (the global or absolute extrema). Pierre de Fermat was one of the first mathematicians to propose a general technique, adequality, for finding the maxima and minima of functions.

As defined in set theory, the maximum and minimum of a set are the greatest and least elements in the set, respectively. Unbounded infinite sets, such as the set of real numbers, have no minimum or maximum.