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Linear approximation

In mathematics, a linear approximation is an approximation of a general function using a linear function (more precisely, an affine function). They are widely used in the method of finite differences to produce first order methods for solving or approximating solutions to equations.

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Definition

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Example

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Map overview Semantic statistics

Linear approximation

Nodes35
Edges34
Triples24
Avg. degree1.94
Density0.057143
Components1

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Linear approximation

Top relations

related to Definition · 7
Linear approximation → For, Given, Linear, Taylor's, The, Therefore, This
related to Electrical resistivity · 6
Linear approximation → Because, For, If, T-, The, When
is a · 1
Linear approximation → approximation of a general function using a linear function

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Important terminology

displaystyle approximation linear period function one x-a derivative case f' approx called small frac sqrt temperature alpha used pendulum amplitude

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Linear approximationis aapproximation of a general function using a linear function0.90text
focal distanceinstance ofsimple explicit formulae can be given for parameters of an imaging system0.80text
magnificationinstance ofsimple explicit formulae can be given for parameters of an imaging system0.80text
brightnessinstance ofsimple explicit formulae can be given for parameters of an imaging system0.80text
in terms of the geometrical shapesinstance ofsimple explicit formulae can be given for parameters of an imaging system0.80text
material properties of the constituent elements.Period of oscillationThe period of swing of a simple gravity pendulum depends on its lengthinstance ofsimple explicit formulae can be given for parameters of an imaging system0.80text
the local strength of gravityinstance ofsimple explicit formulae can be given for parameters of an imaging system0.80text
and to a small extent on the maximum angle that the pendulum swings away from verticalinstance ofsimple explicit formulae can be given for parameters of an imaging system0.80text
θ0instance ofsimple explicit formulae can be given for parameters of an imaging system0.80text
called the amplitudeinstance ofsimple explicit formulae can be given for parameters of an imaging system0.80text
material properties of the constituent elementsinstance ofsimple explicit formulae can be given for parameters of an imaging system0.80text
Linear approximationrelated to DefinitionGiven0.60section

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