monotonic
C2Pronunciation
UK
- /ˌmɒnəˈtɒnɪk/not-comparableadjective
US
- /ˌmɑnəˈtɑnɪk/dialectalnot-comparableof Canadaadjective
Description
- Unvarying
- Steady in one direction
- Only rising, only falling, or staying the same
Imagine hiking up a long, steady hill: that is the basic idea behind monotonic. The word describes something that moves in one direction only, whether it keeps rising, keeps falling, or stays the same. It does not turn back, bounce around, or suddenly switch course.
You will see this word most often in math, science, and computing. A monotonic function, for example, always increases or always decreases, without dips that break the pattern. A set of numbers can also be monotonic if each value stays the same or keeps moving in the same direction as the one before it.
"Monotonic" comes from Greek roots connected with the idea of a single, uniform tone or pattern. In modern English, it is used mainly in technical settings. It describes something that follows a consistent direction: always increasing, always decreasing, or sometimes staying the same, depending on the exact context. The key idea is that it does not reverse direction.
Think of a savings account that keeps growing because money is added every month. The balance is monotonic because it moves upward without dropping back down. Or think of a temperature reading that falls hour by hour through the night. That pattern is monotonic too, because it keeps moving downward.
In mathematics, a monotonic function is one that keeps increasing or keeps decreasing across an interval. In some definitions, a constant function also counts as monotonic because it never breaks the overall direction. In computing, the word can describe processes or values that only move one way, which helps make systems easier to reason about.
Outside technical writing, people much more often use words like "monotone" or "monotonous" for a flat voice or a dull style. "Monotonic" can sometimes be understood there, but it is less natural in everyday speech.
So when you see "monotonic," think of a pattern that stays steady in one direction. It is a word about order and predictability, and it is especially useful when describing functions, sequences, trends, and other things that do not turn back once they start moving.
Examples
- 1
Math function
The function is monotonic on this interval, so the curve never changes direction.
- 2
Research pattern
Researchers looked for a monotonic relationship between age and reaction time.
Phrase
monotonic relationship
a pattern where one thing keeps moving in the same direction as the other
- 3
Computing clock
The system uses a monotonic clock to measure elapsed time reliably.
Domain
in computing, a monotonic clock only moves forward
Forms and spellings
1 form open this card.
Main spelling
- monotonicadjective