Units and Dimensions
As we have seen, mathematical modelling involves variables, parameters and constants, all of which represent quantities which can (in principle at least) be measured. Any physical quantity such as length or mass is measured by writing a number followed by a unit of measurement, e.g. a length of 2.6 m, where the m stands for metre. In this case the metre is the unit of measurement. A measurement without units is totally meaningless and we must be careful to keep track of the units of measurement for all quantities involved at all stages in the model-building process.
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