  The phase space slicing method of two cutoffs for next-to-leading-order
Monte-Carlo style QCD corrections has been applied to many physics processes.
The method is intuitive, simple to implement, and relies on a minimum of
process dependent information. Although results for specific applications exist
in the literature, there is not a full and detailed description of the method.
Herein such a description is provided, along with illustrative examples;
details, which have not previously been published, are included so that the
method may be applied to additional hard scattering processes.
