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Gaussian function

In mathematics, a Gaussian function, often simply referred to as a Gaussian, is a function of the base form f ( x ) = exp ⁡ ( − x 2 ) {\displaystyle f(x)=\exp(-x^{2})} and with parametric extension f ( x ) = a exp ⁡ ( − ( x − b ) 2 2 c 2 ) {\displaystyle f(x)=a\exp \left(-{\frac {(x-b)^{2}}{2c^{2}}}\right)} for arbitrary real constants a, b and non-zero…

Applications, Properties & Estimation of parameters

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Overview

Properties

Two-dimensional Gaussian function

Multi-dimensional Gaussian function

Estimation of parameters

Discrete Gaussian

Applications

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Map overview Semantic statistics

Gaussian function

Nodes112
Edges111
Triples59
Avg. degree1.98
Density0.017857
Components1

How this topic connects Entity context

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Gaussian function

Top relations

has application · 17
Gaussian function → Airy, Binomial, Consequently, Dirac, For, Gaussian, Gaussians, Green's, Hermite, In, Mathematically, More, Some, Specifically, The, They, Weierstrass
related to Parameter precision · 9
Gaussian function → Any, Cramér, Gaussian, Gaussian FWHM, Once, One, Poisson-distributed, Rao, The
related to Estimation of parameters · 7
Gaussian function → Gaussian, In, It, One, The, There, While
related to Multi-dimensional Gaussian function · 4
Gaussian function → Cx, Gaussian, In, The
related to Two-dimensional Gaussian function · 4
Gaussian function → Base, Consequently, Gaussian, In
is a · 3
Gaussian function → eigenfunction of the continuous Fourier transform allows us to derive the following interesting, error function, wave function of the ground state of the quantum harmonic oscillator.The molecular orbitals used in computational chemistry can be linear combinations of Gaussian functions call…
related to Higher-order Gaussian or super-Gaussian function or generalized Gaussian function · 3
Gaussian function → FWHM, Gaussian, This
related to Integral of a Gaussian function · 3
Gaussian function → An, Gaussian, The
related to Properties · 3
Gaussian function → Gaussian, Note, The Gaussian

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Important terminology

gaussian function displaystyle exp right frac left functions pi used sqrt sigma also integral int begin end width form parameters

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Gaussian functionis aerror function0.90text
Gaussian functionis aeigenfunction of the continuous Fourier transform allows us to derive the following interesting0.90text
Gaussian functionis awave function of the ground state of the quantum harmonic oscillator.The molecular orbitals used in computational chemistry can be linear combinations of Gaussian functions call…0.90text
stellar photometryinstance ofEstimation of parametersA number of fields0.80text
Gaussian beam characterizationinstance ofEstimation of parametersA number of fields0.80text
and emission/absorption line spectroscopy work with sampled Gaussian functionsinstance ofEstimation of parametersA number of fields0.80text
need to accurately estimate the heightinstance ofEstimation of parametersA number of fields0.80text
positioninstance ofEstimation of parametersA number of fields0.80text
and width parameters of the functioninstance ofEstimation of parametersA number of fields0.80text
Gaussian functionhas applicationGaussian0.60section
Gaussian functionhas applicationSome0.60section
Gaussian functionhas applicationIn0.60section

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