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  "body": "\n## Summary\n\nThe Faddeeva function is the scaled complex [[complementary error function|TZ3CT1YA9B]] $w(z) = e^{-z^2} \\operatorname{erfc}(-iz)$.\nIt is an [[entire function|0G4F0XB9X2]], and in the upper half-plane it is a Cauchy-type integral of the Gaussian.\nOn the real line its real part is $e^{-x^2}$ and its imaginary part is a multiple of the [[Dawson function|EQ4QB1QW60]].\nIt is used to compute the Voigt line profile in spectroscopy and complex error functions in numerical work.\n\n## Explanations\n\n### L1 human\n\nThe error function of a complex number can be enormous, because $e^{-z^2}$ is huge for some complex $z$.\nThe Faddeeva function multiplies by a factor that cancels this growth, so it stays of moderate size in the upper half-plane.\nOn the real axis it packs two real functions into one complex value.\nIts real part is the Gaussian bell curve, and its imaginary part is the Dawson function up to a factor.\n",
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