# monotonic

Syllabification: mon·o·ton·ic
Pronunciation: /ˌmänəˈtänik /

## Definition of monotonic in English:

1 Mathematics (Of a function or quantity) varying in such a way that it either never decreases or never increases.
Example sentences
• The S-N curve for a pure metal will be a monotonic function with N increasing as stress decreases.
• The number above each segment gives the rank of the absolute value of the monotonic increase or decrease.
• The logarithm is only one of many nonlinear but monotonic functions that can be applied to measurements prior to analysis.
2Speaking or uttered with an unchanging pitch or tone: her dour, monotonic husband

### Derivatives

#### monotonically

1
Pronunciation: /-ik(ə)lē/
Example sentences
• The equilibrium constant decreases monotonically approximately fourfold when the salt concentration is increased from 0.15 to 0.25 M.
• No such phenomena have been reported in larger organisms, and the traditional theories for bacterial motion predict that the swimming speed monotonically decreases with viscosity.
• Hypercapnia increased pulmonary ventilation monotonically, with the average value rising to 181% of baseline at 12% CO2.

#### monotonicity

2
Pronunciation: /ˌmänətnˈisətē/
noun
Example sentences
• In short, in ceasing to be homogenous, they cannot escape their own monotonicity.
• We are interested in testing the hypothesis of a relatively recent population expansion; thus we limited our investigation to the time interval where monotonicity applies.
• This takes advantage of the better asymptotic properties of the difference in the log variances, as well as of the monotonicity of the transformation.

## Definition of monotonic in:

Comments that don't adhere to our Community Guidelines may be moderated or removed.

= trending

## More on monotonic

### Nearby words

Result list for monotonic

### More words in this category

array catenary common complementary function correlation
Word of the day
Pronunciation: ˈtɛnɪbrəs