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Abstract
A complex system developing continuously through time can often be studied by analysing the system at certain moments. These must be related to one another and to the rest of the time through assumptions on how the system changes in the intervening periods.
In particular the daily operations of a seasonal industry throughout the year can be represented by a detailed analysis of a small number of "snapshot" days, and interpolation between them to give the other days. Likewise the development of the industry over a period of years can often be adequately represented by studies of several "snapshot" years. The justification and implementation of this approach are given in considerable detail, so that it can be applied to complex linear systems, and others besides.
The paper is illustrated by a very simple model of the gas industry.