Gold 58

Gauss–Hermite quadrature

Gold ID

58

Link

https://sigir21.wmflabs.org/wiki/Gauss–Hermite_quadrature#math.110.1

Formula

$\underset{-\mathrm{\infty }}{\overset{+\mathrm{\infty }}{\int }}{e}^{-x^2}f(x)dx\approx \sum _{i=1}^n{w}_{i}f(x_i)$

TeX Source

\int_{-\infty}^{+\infty} e^{-x^2} f(x)\,dx \approx \sum_{i=1}^n w_i f(x_i)

Translation Results
Semantic LaTeX	Mathematica Translation	Maple Translations
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Semantic LaTeX

Translation

\int_{-\infty}^{+\infty} \expe^{-x^2} f(x) \diff{x} \approx \sum_{i=1}^n w_i f(x_i)

Expected (Gold Entry)

\int_{-\infty}^{+\infty} \expe^{-x^2} f(x) \diff{x} \approx \sum_{i=1}^n w_i f(x_i)

Mathematica

Translation

Expected (Gold Entry)

Maple

Translation

Expected (Gold Entry)