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Examples (a) through (c) below have this property; (d) does not.
Rules that show complicated behavior usually do not seem to have conserved quantities, and this is true for example of rules 30, 90 and 110, at least up to blocks of length 10.
The first two are additive with respect to one position, but do not appear to be directly related to rules 45 or 30; the last two are not additive with respect to any position.
The tests gave confusing results, presumably having to do not with life, but rather with details of martian soil chemistry.
Doing a synthesis of a chemical is much like constructing a network by applying a specified sequence of transformations.
Starting in the late 1980s the methods of combinatorial chemistry (see note below ) began to make it possible to do biochemical tests on arrays of millions of related substances.
The ordinary axioms of arithmetic do not apply, but there are still fairly straightforward rules for manipulating such expressions.
As discussed on page 1110 , Turing's main interest was in showing what his machines could in principle be made to do, not in finding out what simple examples of them actually did.
In some situations, however, Reynolds number alone does not appear to be sufficient to determine when a flow will become turbulent.
Yet as I discussed earlier in the chapter, if a complete theory of physics is to be as simple as possible, then most things like relativity theory must in effect be derived from more basic features of the theory—as I start to try to do in the main text of this section.