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Bump function

In mathematical analysis, a bump function is a localized auxiliary function, usually chosen to be smooth and to have compact support. Bump functions are commonly used as cutoff functions, for example functions that are equal to 1 on a prescribed set and vanish outside a larger set, and as standard examples of kernels used to construct mollifiers.

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Overview

Examples

Existence of bump functions

Properties and uses

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Bump function

Nodes40
Edges39
Triples20
Avg. degree1.95
Density0.05
Components1

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Bump function

Top relations

related to Examples · 8
Bump function → Euclidean, Gaussian, In, Non-analytic, Note, Psi, The, This
related to Properties and uses · 6
Bump function → Bump, For, If, The, They, While
related to Existence of bump functions · 4
Bump function → Bump, It, Since, Stated
is a · 2
Bump function → localized auxiliary function, zero function

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Important terminology

function displaystyle bump smooth mathbb functions compact support example infty left frac positive outside -1 right vanish real vanishes examples

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Bump functionis alocalized auxiliary function0.90text
Bump functionis azero function0.90text
Bump functionrelated to ExamplesThe0.60section
Bump functionrelated to ExamplesPsi0.60section
Bump functionrelated to ExamplesNote0.60section
Bump functionrelated to ExamplesIn0.60section
Bump functionrelated to ExamplesEuclidean0.60section
Bump functionrelated to ExamplesNon-analytic0.60section
Bump functionrelated to ExamplesThis0.60section
Bump functionrelated to ExamplesGaussian0.60section
Bump functionrelated to Existence of bump functionsIt0.60section
Bump functionrelated to Existence of bump functionsStated0.60section

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