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We review enumeration theory for such direct-product groups.
This problem is closely linked with the other branches of combinatorial analysis such as threshold logic, integer matrices, enumeration theory, etc.
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In the following, we state some interesting applications of rooted trees in chemical graphs theory: Enumeration and coding problems of chemical structures by using rooted trees [49], [50], [51], [52].
This also fits with theories of enumeration and subitizing abilities being present prior to verbal counting (e.g. [ 41- 43]).
Without a common scheme of enumeration and/or weighting, Laudan's theory may lead to ambiguous results according to which the rational tradition to pursue depends on who is doing the counting.
OMG adapts methodologies from the field of graph theory and deterministic graph enumeration to the classical problem of chemical structure generation.
This is a standard problem in graph theory, known as clique enumeration, that can be solved using existing algorithms from the literature [ 28].
Furthermore, since these theories are largely probabilistic, exhaustive enumeration is unnecessary.
For such an argument to succeed, one must ensure that the enumeration is complete — that it exhausts all possible theories.
The optimal stacking sequence and total ply numbers are obtained by means of an enumeration method, an expert system shell and the classical laminate theory.
Theoretical ethical systems were not developed until the Middle Ages, but even in the early period it was understood that the dynamic of ethical theory stood behind the practical system of Halakha, the enumeration of legal precepts.
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