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ZDD - Giddings

This is the Zero
Distortion Density (ZDD) inferred in all GenNLC models. This generalized normal's a_{1} center
parameter is the mean or centroid of the Giddings
density. The a_{2} is a dimensionless time constant which represents the lumped contributions
to all band broadening that can be described by first order kinetics.

Peak

Cumulative

Reverse Cumulative

a_{0} = Area

a_{1} = Center (as mean of underlying Gaussian)

a_{2} = Width (as time constant)

The Giddings ZDD uses the above approximations. Modified Bessel functions and modified Bessel function integrals are not used.

Built-In Peak Model

Gidx (Statistical family) Approximation

Giddings (Chromatography family) Full-Precision

User-Defined Peaks and View Functions

Gidx(x,area,mean,Gidwidth) Giddings (Approximation)

Giddings(x,area,center,width) Giddings (Full-Precision)

Gidx_C(x,area,mean,Gidwidth) Giddings (Approximation)
cumulative

Gidx_CR(x,area,mean,Gidwidth) Giddings (Approximation)
reverse cumulative

To use the full precision Giddings cumulatives and reverse cumulative, you will need the Bessel function
integral:

TFn(u,v) Modified Bessel Integral for NLC, Giddings
CDF complement (u=a_{1}/a_{2},v=x/a_{2})

This Giddings approximation is part of the unique content in the product covered by its copyright.