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komm.qfunc

Computes the Gaussian Q-function. It is given by $$ \mathrm{Q}(x) = \frac{1}{\sqrt{2\pi}} \int_x^\infty \mathrm{e}^{-u^2/2} \, \mathrm{d}u. $$

Parameters:

  • x (float | ArrayND[float])

    The input to the function. May be any float or array of floats.

Returns:

  • y (SameAsInput)

    The value $y = \mathrm{Q}(x)$.

Examples:

>>> komm.qfunc(0.0)
np.float64(0.5)
>>> komm.qfunc([[-1.0], [0.0], [1.0]])
array([[0.84134475],
       [0.5       ],
       [0.15865525]])