monotonically
Meaning
In a way that continuously increases or decreases without any change in the rate of change.
In a manner that lacks variation in tone, pitch, or expression; in a dull, unvarying way.
Structure
Usage
The function increases monotonically across its entire domain.
She recited the long treaty in a monotonically flat voice, lulling some listeners to sleep.
As the pressure rose, the temperature increased monotonically, confirming the theoretical model.
Etymology
The word 'monotonically' is built upon the foundation of 'monotone,' which originates from the Greek elements monos (single) and tonos (tone). Literally meaning "a single, unvarying sound," this described speech or music lacking inflection. In mathematics and logic, beginning in the 19th century, this concept was abstracted to describe a function that exclusively increases or decreases, metaphorically extending the idea of "moving in one direction without variation." The adverbial suffix -ically was then appended to form 'monotonically,' specifying the manner of this uniform progression, whether in a literal vocal delivery or in a precise mathematical sense.
Analysis
mono: From Greek monos, meaning "alone, single, sole." In this word, it functions as a prefix indicating singularity or uniformity. ton: From Greek tonos, meaning "tension, tone, pitch." In this word, it functions as the core root relating to sound or variation. ically: A compound English suffix from -ic (adjective-forming) + -ally (adverb-forming), indicating "in a manner of."