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Step function

In mathematics, a function on the real numbers is called a step function if it can be written as a finite linear combination of indicator functions of intervals. Informally speaking, a step function is a piecewise constant function having only finitely many pieces.

Examples, Properties & Definition and first consequences

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Overview

Definition and first consequences

Examples

Properties

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Map overview Semantic statistics

Step function

Nodes31
Edges30
Triples16
Avg. degree1.94
Density0.064516
Components1

How this topic connects Entity context

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Step function

Top relations

related to Properties · 7
Step function → As, If, In, Lebesgue, The, The Lebesgue, Usually
related to Examples · 4
Step function → It, The, The Heaviside, Then
is a · 2
Step function → piecewise constant function having only finitely many pieces, piecewise linear function.The Lebesgue integral of a step function f
related to Non-examples · 2
Step function → However, The
see also · 1
Step function → Crenel

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Important terminology

step function intervals piecewise displaystyle definition finite numbers functions number real constant called written also mathbb alpha case locally infinite

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Step functionis apiecewise constant function having only finitely many pieces0.90text
Step functionis apiecewise linear function.The Lebesgue integral of a step function f0.90text
Step functionrelated to ExamplesThen0.60section
Step functionrelated to ExamplesThe0.60section
Step functionrelated to ExamplesThe Heaviside0.60section
Step functionrelated to ExamplesIt0.60section
Step functionrelated to Non-examplesThe0.60section
Step functionrelated to Non-examplesHowever0.60section
Step functionrelated to PropertiesThe0.60section
Step functionrelated to PropertiesAs0.60section
Step functionrelated to PropertiesIf0.60section
Step functionrelated to PropertiesThe Lebesgue0.60section

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    Min side: 3
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