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Essential range

In mathematics, particularly measure theory, the essential range, or the set of essential values, of a function is intuitively the 'non-negligible' range of the function: It does not change between two functions that are equal almost everywhere. One way of thinking of the essential range of a function is the set on which the range of the function is…

Art, Formal definition & Extension

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Formal definition

Measure spaceTopological spaceMeasurable functionPushforward measureSupport
5 related topics

Extension

SeparableMetric spaceDifferentiable manifoldsVMO
4 related topics

Properties

Essential supremumSpectrumC*-algebra
3 related topics

Special cases of common interest

Discrete topologyPower set
2 related topics

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Overview

Formal definition

Special cases of common interest

Properties

Examples

Extension

Advanced semantic analysis

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Map overview Semantic statistics

Essential range

Nodes29
Edges28
Triples23
Avg. degree1.93
Density0.068966
Components1

How this topic connects Entity context

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Essential range

Top relations

related to Properties · 6
Essential range → Consequently, If, It, The, These, This
related to Examples · 4
Essential range → Borel, If, Lebesgue, This
related to Y = C · 4
Essential range → In, Say, The, Then
related to Extension · 3
Essential range → If, The, VMO
related to Formal definition · 3
Essential range → Equivalently, For, Let
related to (Y,T) is discrete · 2
Essential range → Say, Then
related to Essential values · 1
Essential range → The

Important terminology Word statistics

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Important terminology

essential displaystyle range measure function set mu operatorname im ess image cal equal values two functions space sigma say mathbb

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Essential rangerelated to (Y,T) is discreteSay0.60section
Essential rangerelated to (Y,T) is discreteThen0.60section
Essential rangerelated to Essential valuesThe0.60section
Essential rangerelated to ExamplesIf0.60section
Essential rangerelated to ExamplesThis0.60section
Essential rangerelated to ExamplesLebesgue0.60section
Essential rangerelated to ExamplesBorel0.60section
Essential rangerelated to ExtensionThe0.60section
Essential rangerelated to ExtensionIf0.60section
Essential rangerelated to ExtensionVMO0.60section
Essential rangerelated to Formal definitionLet0.60section
Essential rangerelated to Formal definitionFor0.60section

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    Connections between topic areas Semantic bridges

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    Min side: 3
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