extremum

(noun)

A point, or value, which is a maximum or a minimum.

Related Terms

  • maximum
  • minimum

Examples of extremum in the following topics:

  • Maximum and Minimum Values

    • In mathematics, the maximum and minimum (plural: maxima and minima) of a function, known collectively as extrema (singular: extremum), are the largest and smallest value that the function takes at a point either within a given neighborhood (local or relative extremum) or on the function domain in its entirety (global or absolute extremum).
  • Maximum and Minimum Values

    • The maximum and minimum of a function, known collectively as extrema, are the largest and smallest values that the function takes at a point either within a given neighborhood (local or relative extremum) or on the function domain in its entirety (global or absolute extremum).
  • Relative Minima and Maxima

    • In mathematics, the maximum and minimum of a function (known collectively as extrema) are the largest and smallest value that a function takes at a point either within a given neighborhood (local or relative extremum) or within the function domain in its entirety (global or absolute extremum).
    • Note that we have to speak of local extrema, because any given local extremum as defined here is not necessarily the highest maximum or lowest minimum in the function’s entire domain.
  • Lagrange Multiplers

    • Where the Lagrange multiplier $\lambda=0$ we can have a local extremum and the two contours cross instead of meeting tangentially.
  • Basics of Graphing Polynomial Functions

    • So if you draw a graph, make sure you draw no more local extremum points than you should.
  • B.11 Chapter 11

    • This function reaches an extremum at $z$.
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