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What does monotonically mean?

Looking for the meaning or definition of the word monotonically? Here's what it means.

Adverb
  1. In a monotonic manner, pertaining to the Greek system of diacritics which discards the breathings and employs a single accent to indicate stress
  2. (mathematics) In a monotonic manner, of a function that either never decreases or never increases as its independent variable increases
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That is, the sequence of numbers of pebbles removed on each turn is a monotonically nonincreasing sequence.
The concentration-response relationship observed in the epidemiological studies provided no evidence of a threshold, monotonically increasing from an ozone concentration as low as 20 ppb up to 95 ppb.
Layer depths increase monotonically with height from approximately 100 meters at the surface to 3km in the lower stratosphere.
Structural capital to sectoral GDP rose from 1961 to 1975, before falling monotonically.
Thus, when a shock causes inflation to deviate from its target, the implications for the price level must be unwound, implying that inflation will not return monotonically to its target.
The relationship between attenuation level and wavelength is linear such that the slope of the attenuation vs. wavelength is constant and monotonically increasing or decreasing.

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