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Monotonic function

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.

In calculus and analysis, In Boolean functions & In order theory

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Overview

In calculus and analysis

In topology

In functional analysis

In order theory

In the context of search algorithms

In Boolean functions

Bibliography

  • ISBN ISBN (identifier)

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Monotonic function

Nodes90
Edges89
Triples35
Avg. degree1.98
Density0.022222
Components1

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Monotonic function

Top relations

related to External links · 13
Monotonic function → Anik Debnath, Convergence, EMS Press, Encyclopedia, Eric, Mathematics, MathWorld, Monotone, Monotonic Sequence, The Harker School, Thomas Roxlo, Weisstein, Wolfram Demonstrations Project
related to In Boolean functions · 10
Monotonic function → Boolean, Cartesian, For, Graphically, Hasse, In, In Boolean, The, This, Venn
has application · 9
Monotonic function → As, For, Furthermore, If, It, Lebesgue, Not, Pompeiu, The
related to Inverse of function · 2
Monotonic function → All, However
see also · 1
Monotonic function → Monotone

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Important terminology

function displaystyle monotonic monotone functions order increasing also set interval domain leq strictly called left right isbn theory decreasing monotonicity

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Monotonic functionhas applicationThe0.60section
Monotonic functionhas applicationFor0.60section
Monotonic functionhas applicationIt0.60section
Monotonic functionhas applicationIf0.60section
Monotonic functionhas applicationAs0.60section
Monotonic functionhas applicationFurthermore0.60section
Monotonic functionhas applicationLebesgue0.60section
Monotonic functionhas applicationNot0.60section
Monotonic functionhas applicationPompeiu0.60section
Monotonic functionrelated to External linksMonotone0.60section
Monotonic functionrelated to External linksEncyclopedia0.60section
Monotonic functionrelated to External linksMathematics0.60section

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