In addition to the above codes for full simulation of muonic processes, various smaller programs were used to study specific parts of the experiment. A GEANT-based code was developed by Marshall and used to understand the energy deposited in the liquid scintillators by the muon-decay electrons. A charged-particle energy loss calculation program APEC-97[212] featuring a package PEPPER[213], which I originally developed for the planning of the muon-alpha sticking experiment, was used to study the energy spectra of silicon detectors as well as for determining detector solid angles and energy cut efficiencies. The detail of these codes will be discussed in the analysis sections.