Parameter (physics)
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A parameter of a physical system is any characteristic of the system which can be quantified mathematically[1]. Parameters can be arbitrary, but we usually examine only those which are useful for predicting the behavior of the system or those which obey certain laws. For example, consider a physical system consisting of a room full of people. The average age of the people is a parameter of the system, since it can be quantified by a number. The locations of the people relative to the center of the room are also parameters of the system, since they can be quantified by vectors.
Parameterization
[edit]A parameterization of a physical system is any set of parameters which we have chosen to examine[1]. For example, a gas can be parameterized by the positions and velocities of all of its particles, but it can also be parameterized by its temperature, pressure and volume. Different parameterizations need not describe (and in fact rarely do so) the same characteristics of the system. In general, it is possible to determine the temperature, pressure and volume of a gas if we know the positions and velocities of all of its particles, but not vice versa.
References
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