A system, method, and computer program for managing access entitlements in a computing network group users into at least two groups and group access entitlements into a service. The battery capacity calculating method and apparatus can very accurately calculate a residual capacity of a secondary battery especially in the last stage of discharging independently of environmental conditions such as a temperature or a deteriorated state. At any point within the three-dimensional volume of the tetrahedron, a constructed pose may be defined based on weighted averages of the four source poses. The gas discharge port communicates with an inner bore of the compensator assembly. The controller may use the aerosol detection andor flow detection to monitor compliance with desired use of the system andor provide real-time instructions to a user for proper use of the system.