hmf.density_field.filters.SharpK.dw_dlnkr

SharpK.dw_dlnkr(kr)

The derivative of the (fourier-transformed) filter with \(\ln(kr)\).

Parameters

kr (array_like) – Scale(s) at which the derivative is evaluated.

Notes

In terms of \(\frac{dw^2}{dm}\), which is a commonly used quantity, this has the relationship

\[w\frac{dw}{d\ln r} = \frac{2}{r}\frac{dw^2}{dm}\frac{dm}{dr}.\]