minima
Definition
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."
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.)