Formalization of the notion of technical systems evolution (Part 4):
Evolutionary series of representative technical systems

Y. B. Karasik,
Thoughts Guiding Systems Corp.,
Ottawa, Canada.

In the previous article I considered series of systems representing majority. Now I am going to generalize this approach and consider series of systems representing something else, not neceserily majority. In what follows such series are called series of representative technical systems. What they represent is not important for this definition. It could be anything for which an evolutionary trend exists.

Consider, for example, systems representing the nascent technical systems as opposed to systems representing those, which die out. At any point in time there are systems, proportion of which decreases and proportion of which increases. If both of them belong to the same distribution then transition from the former to the latter is definitely a trend. This trend can be formalized as follows:

These serise represent transitions from systems loosing the majority status (but which have not lost yet) to nascent technical systems, which will gain majority some day after. There could be series of other types of representative systems, of course.