(mathematics, physics) The state of being monotonic.
Used in a Sentence
monotonicity
Definitions, parts of speech, synonyms, and sentence examples for monotonicity.
Editorial note
To elaborate, monotonicity means that a value is either always increasing or always decreasing, and never changes direction.
Examples15
Definitions2
Parts of speech1
Quick take
(mathematics, physics) The state of being monotonic.
Meaning at a glance
The clearest senses and uses of monotonicity gathered in one view.
(mathematical analysis) Said of a positive measure: the property of a positive measure of a measure space, that given two measurable sets where the first set is contained in the second one, then the measure of the first set must be less than or equal to the measure of the second set.
Definitions
Core meanings and parts of speech for monotonicity.
noun
(mathematics, physics) The state of being monotonic.
noun
(mathematical analysis) Said of a positive measure: the property of a positive measure of a measure space, that given two measurable sets where the first set is contained in the second one, then the measure of the first set must be less than or equal to the measure of the second set.
Example sentences
To elaborate, monotonicity means that a value is either always increasing or always decreasing, and never changes direction.
STV (IRV) isn't so bad for multi-winner elections, but for single-winner elections it fails monotonicity.
Numerous inherent problems, notably non-monotonicity, where voting a candidate higher can cause them to lose.
Clock rollback occurs when the system clock moves backwards, which can break the monotonicity guarantees that v7 is designed to provide.
Personally, I always found the flat monotonicity of Python code to be rather unpleasant to read and write.
This graphic is much worse for the fact that there is no relationship between the numeric and graphic quantities (other than monotonicity).
Looking over it, it just seems to be a special case of building nested intervals using the monotonicity and continuity of the sqrt function.
IRV is very nearly as bad, and perhaps worse due to monotonicity.
Also, LLM writing has a certain monotonicity that human writing often lacks.
Git gives us already some linearity/monotonicity conditions.
Not just that, monotonicity could be impaired.
QPC meets the Standard's requirements for steadiness/monotonicity.
Quote examples
The issue here is not preserving monotonicity but keeping the semantics of the "wall clock".
Proper noun examples
Monotonicity is a super important property of a clock.
Monotonicity was maintained in all instances.
Frequently asked questions
Short answers drawn from the clearest meanings and examples for this word.
How do you use monotonicity in a sentence?
To elaborate, monotonicity means that a value is either always increasing or always decreasing, and never changes direction.
What does monotonicity mean?
(mathematics, physics) The state of being monotonic.
What part of speech is monotonicity?
monotonicity is commonly used as noun.