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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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gaussian function displaystyle exp right frac left functions pi used sqrt sigma also integral int begin end width form parameters
| Subject | Predicate | Object | Confidence | Src |
|---|---|---|---|---|
| Gaussian function | is a | error function | 0.90 | text |
| Gaussian function | is a | eigenfunction of the continuous Fourier transform allows us to derive the following interesting | 0.90 | text |
| Gaussian function | is a | 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… | 0.90 | text |
| stellar photometry | instance of | Estimation of parametersA number of fields | 0.80 | text |
| Gaussian beam characterization | instance of | Estimation of parametersA number of fields | 0.80 | text |
| and emission/absorption line spectroscopy work with sampled Gaussian functions | instance of | Estimation of parametersA number of fields | 0.80 | text |
| need to accurately estimate the height | instance of | Estimation of parametersA number of fields | 0.80 | text |
| position | instance of | Estimation of parametersA number of fields | 0.80 | text |
| and width parameters of the function | instance of | Estimation of parametersA number of fields | 0.80 | text |
| Gaussian function | has application | Gaussian | 0.60 | section |
| Gaussian function | has application | Some | 0.60 | section |
| Gaussian function | has application | In | 0.60 | section |
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