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Glite Dictionary
extremum

extremum

9.9
A point where a function is highest or lowest
  • noun
  • /ɪkˈstriməm/
  • Specialized
translation icon : extremo
  • The extremum of the data set represents the maximum temperature recorded during the experiment.
  • seek extremum

All right, so the easiest way to understand extrema is it the Max and the min?

Examples

  • The LLNL team applied an innovative method to speed up the process: extremum seeking, a non-model-based, real-time optimization method that iteratively modifies the input of a system so that a desired performance metric reaches a local optimal value.

    Academic text (2007)

  • For the engine application, extremum seeking determines the combustion timing that minimizes the HCCI engine's fuel consumption.

    Academic text (2007)

  • What I get is that the extremum is at some positive value.

  • And So what I'm looking for is an extremum of that whole expression.

  • So let's consider an extremum principle for the motion of a mechanical system.

    The Secret: Dare to Dream (2020)

  • Use of extremum seeking for minimization of HCCI fuel consumption.

    Academic text (2007)

  • The extremum seeking method offers no guarantees for finding a global optimum, but has the ability to simultaneously optimize multiple objectives (like fuel consumption and emissions).

    Academic text (2007)

  • Unlike other non-model-based optimization methods, extremum seeking lends itself to convergence analysis, which means that its convergence rate properties can be quantified and tuned.

    Academic text (2007)

  • In calculus, finding the extremum of a function involves identifying its highest or lowest point.

  • To optimize the design, engineers must determine the extremum of the performance metrics under various conditions.

Synonyms

extremal
vsextremum
  • Specialized
9.9

A value that gives the highest or lowest result in a math problem

is the specific point or value representing the highest or lowest result

Antonyms

average
739 1.3

The usual level of something, often shown by a number

median
  • Specialized
106 4.8

The middle value in a list of numbers or the average of two middle values

Surface Forms

extremum singular
extrema plural

Etymology

Extremum comes from the Latin extremus, which means 'outermost' or 'farthest'. Think of familiar words like extreme and extremity that point to the far end, so in math an extremum is the point where a function reaches its highest or lowest value.