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Scaled Variables and Dimensional Consistency

## Excerpt

The term “primitive variables” would refer to the variables we normally use when we measure or model a system, whether the system be a process, a procedure, a device, a product, or a combination. Primitive variables have units, and primitive variables can be either relative or absolute, or continuum or integer. The units may be very different for the same variable, which can be confounding for human understanding, for example, distance in miles or microns or light-years, speed in rpm or kps, mass in kg or lbs, number of people or number of events, composition in mole fraction or ppm, energy in BTU or kJ, etc. Additionally, the mix of relative and absolute variables can also be confusing: temperature in °C or R, pressure in psig or Pa, and time in hours from the beginning of the local day or in years from the big bang.

The term “primitive variables” would refer to the variables we normally use when we measure or model a system, whether the system be a process, a procedure, a device, a product, or a combination. Primitive variables have units, and primitive variables can be either relative or absolute, or continuum or integer. The units may be very different for the same variable, which can be confounding for human understanding, for example, distance in miles or microns or light-years, speed in rpm or kps, mass in kg or lbs, number of people or number of events, composition in mole fraction or ppm, energy in BTU or kJ, etc. Additionally, the mix of relative and absolute variables can also be confusing: temperature in °C or R, pressure in psig or Pa, and time in hours from the beginning of the local day or in years from the big bang.

19.1Introduction
19.2A Scaled Variable Approach
19.3Sampling of Issues with Primitive Variables
19.4Linear Scaling Options
19.5Nonlinear Scaling
19.6Takeaway
19.7Exercises
19.1Introduction
19.2A Scaled Variable Approach
19.3Sampling of Issues with Primitive Variables
19.4Linear Scaling Options
19.5Nonlinear Scaling
19.6Takeaway
19.7Exercises
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