extrema

[ɪkˈstriːmə]

extrema Definition

  • 1the highest or lowest point of something
  • 2the most extreme value of a function, especially in calculus

Using extrema: Examples

Take a moment to familiarize yourself with how "extrema" can be used in various situations through the following examples!

  • Example

    The extrema of the mountain range were covered in snow.

  • Example

    The extrema of the function can be found using calculus.

  • Example

    The temperature reached its extrema during the heatwave.

extrema Synonyms and Antonyms

Antonyms for extrema

Phrases with extrema

  • a point on a graph where the slope is zero and changes from positive to negative or vice versa, indicating a local maximum or minimum

    Example

    The relative extrema of the function can be found by examining the slope of the graph.

  • the highest or lowest point of a function over its entire domain, indicating an absolute maximum or minimum

    Example

    The global extrema of the function can be found by examining the endpoints of the domain.

  • a military term referring to the proportion of forces that should be deployed in a battle to ensure victory

    Example

    The general calculated the extrema ratio of his troops to those of the enemy before launching the attack.

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Summary: extrema in Brief

The term 'extrema' [ɪkˈstriːmə] refers to the highest or lowest point of something, such as a mountain range or temperature. In calculus, it also refers to the most extreme value of a function, with 'relative extrema' indicating a local maximum or minimum, and 'global extrema' indicating an absolute maximum or minimum. 'Extrema ratio' is a military term for the proportion of forces needed for victory.