Extremum
المؤلف:
Abramowitz, M. and Stegun, I. A.
المصدر:
Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, 9th printing. New York: Dover
الجزء والصفحة:
...
21-9-2018
2323
Extremum
An extremum is a maximum or minimum. An extremum may be local (a.k.a. a relative extremum; an extremum in a given region which is not the overall maximum or minimum) or global. Functions with many extrema can be very difficult to graph.
Notorious examples include the functions 
and 
near 
, plotted above.
Another pathological example is 
near 0 and 1, which has
extrema in the closed interval [0,1] (Mulcahy 1996).
REFERENCES:
Abramowitz, M. and Stegun, I. A. (Eds.). Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, 9th printing. New York: Dover, p. 14, 1972.
Mulcahy, C. "Plotting and Scheming with Wavelets." Math. Mag. 69, 323-343, 1996.
Tikhomirov, V. M. Stories About Maxima and Minima. Providence, RI: Amer. Math. Soc., 1991.
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