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Clearly, if the computational requirements grow with the rank, this type of complexity manifests itself in those circumstances where it is a disadvantage, whether avoidable or unavoidable, to being ith, for i ≥ 2. For example 1. A penalty may be charged for missing a deadline, such as when a stage s must be completed by a certain time ds . 2. The precision and/or ease of measurement of variables involved in the computation in a stage s may decrease with each stage executed before s. 3. Biological tissues may have been altered (by previous stages) when stage s is reached.
Similarly, when xi is set to a new value, an arbitrary number of values xj , 0 ≤ j ≤ n − 1 will change unpredictably shortly thereafter (within one time unit), such that G (x0 , x1 , . . , xn−1 ) is no longer satisfied. Most importantly, when i > 0, the values of x0 , x1 , . . , xi−1 , all of which have already been set, may be altered irreparably. This last property of S , namely, the way in which the system reacts to a sequential measurement or setting of its variables, is reminiscent of a number of well-known phenomena that manifest themselves in many subfields of the physical and natural sciences and engineering .
W. Norton, New York, 2000.  D. Deutsch, The Fabric of Reality, Penguin Books, London, England, 1997. L. S. B. Larson, A. McPherson, and K. Schulten, Molecular dynamics simulation of the complete satellite tobacco mosaic virus, Structure, Vol. 14, No. 3, March 2006, pp. 437–449.  D. Gabor, Theory of communication, Proceedings of the Institute of Electrical Engineers, Vol. 93, No. 26, 1946, pp. 420–441.  D. Harel, Algorithmics: The Spirit of Computing, Addison-Wesley, Reading, MA, 1992.