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Chebyshev nodes

In numerical analysis, Chebyshev nodes (also called Chebyshev points or a Chebyshev grid) are a set of specific algebraic numbers used as nodes for polynomial interpolation and numerical integration. They are the projection of a set of equispaced points on the unit circle onto the real interval [ − 1 , 1 ] {\displaystyle } , the circle's diameter.

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Overview

Numerical analysisAlgebraic numbersPolynomial interpolationNumerical integrationProjection
14 related topics

Approximation

Approximation theoryMonic
2 related topics

Definition

Affine transformation
1 related topics

Modified even-order nodes

Chebyshev filters
1 related topics

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Overview

Definition

Approximation

Modified even-order nodes

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Map overview Semantic statistics

Chebyshev nodes

Nodes23
Edges22
Triples19
Avg. degree1.91
Density0.086957
Components1

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Chebyshev nodes

Top relations

related to Approximation · 11
Chebyshev nodes → Chebyshev, For, Given, It, Recall, So, The, The Chebyshev, Therefore, This, Tn
related to Examples · 3
Chebyshev nodes → Chebyshev, The, While
related to Modified even-order nodes · 3
Chebyshev nodes → Chebyshev, Instead, Some
related to Definition · 2
Chebyshev nodes → Chebyshev, For

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Important terminology

chebyshev nodes displaystyle polynomial also points -1 interval interpolation kind n-1 first frac max called zeros set two polynomials projection

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Chebyshev nodesrelated to ApproximationThe Chebyshev0.60section
Chebyshev nodesrelated to ApproximationGiven0.60section
Chebyshev nodesrelated to ApproximationThe0.60section
Chebyshev nodesrelated to ApproximationSo0.60section
Chebyshev nodesrelated to ApproximationThis0.60section
Chebyshev nodesrelated to ApproximationIt0.60section
Chebyshev nodesrelated to ApproximationChebyshev0.60section
Chebyshev nodesrelated to ApproximationTn0.60section
Chebyshev nodesrelated to ApproximationRecall0.60section
Chebyshev nodesrelated to ApproximationTherefore0.60section
Chebyshev nodesrelated to ApproximationFor0.60section
Chebyshev nodesrelated to DefinitionFor0.60section

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    Min side: 3
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