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monotonic

monotonic

1 8.6
A list of numbers that only goes up or only goes down
  • adjective
  • /ˌmɒnəˈtɒnɪk/
  • Specialized
translation icon : monótono
  • In mathematics, a function is considered monotonic if it consistently increases or decreases without any fluctuations.
  • monotonic relationship
  • monotonic trend
  • monotonic functions

You keep sort of like there's a monotonic decrease of your weaknesses.

Examples

  • GCR trends (as seen in Graph 2) underwent a monotonic decrease from 1900 to 1970 and then leveled off.

    Blog text (27)
  • The functional form of the resources/participation relationship is generally monotonic: that is, most types of participation increase steadily as income rises.

    Academic text (2014)
  • What both of these examples have in common is that Y is a monotonic function of X.

  • Therefore, for the purposes of this study, only the results from monotonic analyses are considered.

    Academic text (2017)
  • The points that appear to fall along a monotonic curve are those arising from clients with sensorineural losses.

    Academic text (1996)
  • For the remaining phrases, there was a mixture of single-peaked and monotonic functions.

    Academic text (1990)
  • Because what you're integrating here is simply a function which is monotonic decreasing with X.

  • The linear association, consistently replicated in all analyses, showed a monotonic increase in logistic regression.

    Academic text (2012)
  • The bivariate results show a monotonic but nonsignificant (p > .05) decline in self-response (the "All" category) with age.

    Academic text (1999)
  • When we divided the POP levels into quintiles, we found monotonic relationships versus the number of arteries with plaques for the POPs described above (data not shown).

    Academic text (2012)

Synonyms

monotone
vsmonotonic
  • Specialized
7.8

Always going up or always going down without changing direction

has the same mathematical meaning but is the more formal technical term

Antonyms

nonmonotonic
  • Specialized
9.9

A process that does not always go up or down

Changing up and down often in a way you cannot guess

oscillating
  • Specialized
6.2

Moving back and forth in a regular way

Compounds

decreasing monotonic
  • Specialized
8.8

A sequence or function that never increases as you move along

increasing monotonic
  • Specialized
9.0

A list of numbers that never goes down and each number is the same or bigger than the one before

How Monotonic

monotonic
  • Specialized
1 8.6
nonmonotonic
  • Specialized
9.9
oscillating
  • Specialized
6.2

Surface Forms

monotonic positive

Morphology

monotonic = monotone (opaque) = mono + tone + ic

The step from monotone to monotonic is regular suffixation, but the technical meaning is a later specialized extension.

Etymology

Monotonic in math comes from the same parts, mono- 'one' and tonos 'tone', and a helpful way to remember it is to think of it as moving in 'one' way only. So a monotonic sequence or function always goes up or always goes down and never changes direction.