Helper Functions

Σ(f, i)

Defined as shorthand:

Σ(f, i) = mapreduce(f, +, 1:i)

The function evaluates f(X) for X = [1,...,i] and sums the result. If f(X) evaluates to a vector or SizeDistribution, the sum is the sum of the vectors or SizeDistributions.

Example Usage

Tc = getTc(Λ)
Σ(k -> Tc(k,100.0),2)  # evaluate the sum of Tc(1, 100.0), Tc(2, 100.0)

clean(x)

Defined as shorthand:

clean(x) = map(x -> x < 0.0 ? 0.0 : x, x)

The function removes negative numbers and set them zero. It is used to cleanup inverted size distribution data, which may contain small negative values from inversion noise.

interpolateSizeDistributionOntoδ(kw)

This function takes a size distribution and interpolates it onto a DMA grid. kw is a tuple containing a SizeDistribution and a DMA grid.

Example Usage

    𝕣 = (𝕟, δ) |> interpolateSizeDistributionOntoδ

This extracts the columns Dp and R from df and interpolates it ont grid δ and returns the results as a SizeDistribution. The df has to be sorted in ascending order.

interpolateDataFrameOntoδ(kw)

This function takes some measured size distribution in a DataFrame and interpolates it onto a DMA grid. kw is a tuple containing a DataFrame, symbols to columns to extract which contain diameter and response function, and a DMA grid.

Example Usage

    𝕣 = (df, :Dp, :R, δ) |> interpolate_df_onto_thisδ

This extracts the columns Dp and R from df and interpolates it ont grid δ and returns the results as a SizeDistribution. The df has to be sorted in ascending order.