Definition

1. Noun:

   • Plural form of minimum: "minima" is the plural of "minimum," referring to the smallest amounts, degrees, or values possible or allowed in a set or context.
   • In mathematics: The smallest values in a function or dataset, often contrasted with "maxima."

2. Adjective (rarely used directly as an adjective; typically "minimum" is used):

   • Least possible: "minima" can occasionally appear in technical contexts to describe plural minimal conditions, but this is uncommon.

Usage Examples

• Noun:

  • The minima of the temperature readings occurred at dawn. (The lowest points in the temperature data.)
  • In calculus, we study the local minima and maxima of functions. (The smallest values within a specific range.)

• Adjective (technical):

  • The experiment recorded minima values for each variable. (The least possible values.)

Advanced Usage

• "local minima": In optimization or mathematics, a point where a function reaches a lower value than all nearby points, but not necessarily the absolute lowest.

  • The algorithm got stuck at a local minima instead of finding the global minimum. (It found a low point but not the overall lowest.)

• "global minima": The absolute lowest value in the entire domain of a function.

  • The global minima of the function is at x = 0. (The overall smallest value.)

Variants and Related Words

• Minimum (n, singular): the smallest amount or value.

  • The minimum required for the job is a bachelor's degree. (The least acceptable qualification.)

• Minimal (adj): very small in amount or degree; the least possible.

  • The damage was minimal due to quick action. (Very slight or insignificant.)

• Minimize (v): to reduce to the smallest possible amount or degree.

  • We need to minimize costs to stay within budget. (Reduce costs as much as possible.)

Synonyms

• Least: the smallest in amount or degree.
• Lowest points: the smallest values in a range.
• Bottoms: the lowest levels or positions.

Related Idioms

• At a minimum: at the least possible amount or level.

  • The project will take at a minimum two weeks. (At the shortest possible time.)

• Minima and maxima: a phrase used to refer to the smallest and largest values in a set.

  • The report listed the minima and maxima of the monthly sales. (The lowest and highest figures.)