hmf.density_field.filters.TopHat.dw_dlnkr¶
- TopHat.dw_dlnkr(kr)[source]¶
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
\[w\frac{dw}{d\ln r} = \frac{2}{r}\frac{dw^2}{dm}\frac{dm}{dr}.\]