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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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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

Note this theorem does not claim that a function f must have a local extremum at a critical point.

From Textbooks ● Mar. 30, 2016

A function may or may not have a local extremum at a critical point.

From Textbooks ● Mar. 30, 2016

A function may have both an absolute maximum and an absolute minimum, just one extremum, or neither.

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 Anthony Trollope

These are the absolute extrema of g on D as shown in the following figure.

From Textbooks ● Mar. 30, 2016

In these cases, how can we use a formula for a function to determine where these extrema occur?

From Textbooks ● Mar. 30, 2016

Figure 4.13 shows several functions and some of the different possibilities regarding absolute extrema.

From Textbooks ● Mar. 30, 2016

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

From Textbooks ● Mar. 30, 2016

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

From Dr. Johnson's Works: Life, Poems, and Tales, Volume 1 The Works of Samuel Johnson, Ll.D., in Nine Volumes by Samuel Johnson

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