Monotone refers to a sound, for example music or speech, that has a single unvaried tone. See:
pure tone
Pure may refer to:
Computing
* A pure function
* A pure virtual function
* PureSystems, a family of computer systems introduced by IBM in 2012
* Pure Software, a company founded in 1991 by Reed Hastings to support the Purify tool
* Pure-FTPd, F ...
and
monophony
In music, monophony is the simplest of musical textures, consisting of a melody (or "tune"), typically sung by a single singer or played by a single instrument player (e.g., a flute player) without accompanying harmony or chords. Many folk son ...
.
Monotone or monotonicity may also refer to:
In economics
*
Monotone preferences, a property of a consumer's preference ordering.
*
Monotonicity (mechanism design) In mechanism design, monotonicity is a property of a social choice function. It is a necessary condition for being able to implement the function using a strategyproof mechanism. Its verbal description is:
In other words:
Notation
There is a ...
, a property of a social choice function.
*
Monotonicity criterion, a property of a voting system.
*
Resource monotonicity
Resource monotonicity (RM; aka aggregate monotonicity) is a principle of fair division. It says that, if there are more resources to share, then all agents should be weakly better off; no agent should lose from the increase in resources. The RM pri ...
, a property of resource allocation rules and bargaining systems.
In mathematics
*
Monotone class theorem In measure theory and probability, the monotone class theorem connects monotone classes and sigma-algebras. The theorem says that the smallest monotone class containing an algebra of sets G is precisely the smallest -algebra containing G. It ...
, in measure theory
*
Monotone convergence theorem, in mathematics
*
Monotone polygon
In geometry, a polygon ''P'' in the plane is called monotone with respect to a straight line ''L'', if every line orthogonal to ''L'' intersects the boundary of ''P'' at most twice.
Similarly, a polygonal chain ''C'' is called monotone with respec ...
, a property of a geometric object
*
Monotonic function, a property of a mathematical function
*
Monotonicity of entailment
Monotonicity of entailment is a property of many logical systems that states that the hypotheses of any derived fact may be freely extended with additional assumptions. In sequent calculi this property can be captured by an inference rule called ...
, a property of some logical systems
*
Monotonically increasing
In mathematics, a monotonic function (or monotone function) is a function between ordered sets that preserves or reverses the given order. This concept first arose in calculus, and was later generalized to the more abstract setting of order ...
, a property of number
sequence
Other uses
*
Monotone (software), an open source revision control system
*
Monotonic orthography
Greek orthography has used a variety of diacritics starting in the Hellenistic period. The more complex polytonic orthography ( el, πολυτονικό σύστημα γραφής, translit=polytonikó sýstīma grafī́s), which includes fiv ...
, simplified spelling of modern Greek
*
The Monotones, 1950s American rock and roll band
*
Quantifier monotonicity, in formal semantics
*"Monotone", a song by
Yoasobi for 2024 animated film ''
Fureru''
*"Monotone", a song by American alternative rock band
Splender.
{{disambig