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extremum

American  
[ik-stree-muhm] / ɪkˈstri məm /

noun

Mathematics.
extrema plural
  1. a maximum or minimum value of a function in a specified neighborhood.


Other Word Forms

Noun Inflected Forms

Etymology

Origin of extremum

1900–05; < New Latin, noun use of neuter of Latin extrēmus extreme

Vocabulary lists containing extremum

Example Sentences

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If a continuous function f has a local extremum, it must occur at a critical point c.

From Textbooks Mar. 30, 2016

Therefore, an extremum of the function is 1.

From Textbooks Mar. 30, 2016

We have also defined local extrema and determined that if a function f has a local extremum at a point c, then c must be a critical point of f .

From Textbooks Mar. 30, 2016

Therefore, the existence of a critical value at x = x0 does not guarantee a local extremum at x = x0.

From Textbooks Mar. 30, 2016

It would be well that each of us should say to himself,    "Solve senescentem mature sanus equum, ne     Peccet ad extremum ridendus."

From Autobiography of Anthony Trollope by Trollope, Anthony

The next step involves finding the extrema of f on the boundary of its domain.

From Textbooks Mar. 30, 2016

At this point, we know how to locate absolute extrema for continuous functions over closed intervals.

From Textbooks Mar. 30, 2016

In some of these cases, the functions have local extrema at critical points, whereas in other cases the functions do not.

From Textbooks Mar. 30, 2016

Can we find relative extrema of functions using derivatives?

From Textbooks Mar. 30, 2016

Observing that Fontenelle at first opposed the Newtonian philosophy, and embraced it afterwards, his words were:—"Fontenellus, ni fallor, in extrema senectute fuit transfuga ad castra Newtoniana."

From Life of Johnson, Volume 2 1765-1776 by Hill, George Birkbeck Norman

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