What is the difference between extrema and minimum?

Definitions

- Referring to the highest or lowest point of a function or curve. - Describing the maximum or minimum value of a set of data. - Talking about the peak or valley of a mountain range or landscape.

- Referring to the smallest possible amount or quantity. - Describing the least amount required for something to function or operate. - Talking about the lowest point or value in a set of data.

List of Similarities

  • 1Both words refer to a point of measurement.
  • 2Both words describe a limit or boundary.
  • 3Both words can be used in mathematical contexts.
  • 4Both words can be used to describe physical quantities.

What is the difference?

  • 1Scope: Extrema refers to the highest or lowest point of a function or curve, while minimum refers to the smallest possible amount or quantity.
  • 2Usage: Extrema is more commonly used in mathematical contexts, while minimum can be used in a wider range of contexts.
  • 3Quantity: Minimum refers to the smallest amount or quantity, while extrema can refer to both the highest and lowest points.
  • 4Function: Minimum is often used to describe a requirement or threshold, while extrema is used to describe a peak or valley.
  • 5Connotation: Minimum has a neutral connotation, while extrema can have a positive or negative connotation depending on the context.
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Remember this!

Extrema and minimum are both words that describe limits or boundaries. However, extrema specifically refers to the highest or lowest point of a function or curve, while minimum refers to the smallest possible amount or quantity. Extrema is more commonly used in mathematical contexts, while minimum can be used in a wider range of contexts.

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