About: Monotonic function

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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 theory.

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rdf:type	disease
rdfs:label	Monotonic function (en)
rdfs:comment	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 theory. (en)
sameAs	Monotonic function Monotonic function
dbp:wikiPageUsesTemplate	dbt:= dbt:Cite_book dbt:Color dbt:MathWorld dbt:Redirect dbt:Reflist dbt:Short_description dbt:Visible_anchor dbt:Which%3F dbt:Springer
Subject	Real analysis Types of functions Functional analysis Order theory
gold:hypernym	Function
prov:wasDerivedFrom	http://en.wikipedia.org/wiki/Monotonic_function?oldid=1069778943&ns=0
Wikipage page ID	48260 (xsd:integer)
page length (characters) of wiki page	18427 (xsd:nonNegativeInteger)
Wikipage revision ID	1069778943 (xsd:integer)
Link from a Wikipage to another Wikipage	Logical conjunction Logical disjunction Null set Probability theory Product order Unimodality A* search algorithm Admissible heuristic Almost everywhere Asymptotically optimal algorithm Banach space Bernstein's theorem on monotone functions Logic gate Monotone cubic interpolation Monotone preferences Calculus Cantor function Real analysis Types of functions Kachurovskii's theorem Functional analysis Order theory Discontinuities of monotone functions Discrete measure Domain of a function Duality (mathematics) Duality (order theory) Search algorithm Series (mathematics) Surjective function Wolfram Demonstrations Project Classification of discontinuities Cumulative distribution function Cyclical monotonicity Dedekind number Hypercube List of order structures in mathematics Preorder Pseudo-monotone operator Triangle inequality Constant function Convex function Countable set Heuristic (computer science) Operator monotone function Order-embedding Order isomorphism Order theory Partially ordered set Spearman's rank correlation coefficient Electoral system Function (mathematics) Functional analysis If and only if Derivative Hasse diagram Injective function Interval (mathematics) Inverse function Mode (statistics) Utility Venn diagram Subset Topological vector space Total order Lattice (order) Lebesgue measure Limit of a function Numerical analysis Mathematics Negation Random variable Range of a function Rational number Real number Riemann integral

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