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These assumptions allow us to develop mathematical models for the evolution of these points in state space and such models are taken to represent (perhaps through an isomorphism or some more complicated relation) the physical systems of interest.
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It had roughly 10 times as many subsidiaries, including many offshore entities, more complicated relations with creditors and a less solid business.
As shown in the last predicate in the rule in Listing 2, a predicate can embed other predicates to show more complicated relations: the predicate "greater_than_or_equal(Ceiling_height,quantity 7,feet))" represents the quantitative relation between ceiling height and the quantity 7 feet, where the predicate "quantity 7,feet))" is embedded as an argument.
The model may be extended to accommodate more complicated relations between σE2 and A, e.g. σE2|A = exp β0 + β1A + β2A).
Here deeper, smaller vessels with more complicated relations are present, including the brachial plexus, pleura and arteries.
In the general case, more complicated constitutive relations with more effective material parameters need to be developed.
The mathematical description and the numerical schemes are designed in such a way that more complicated constitutive relations (and more realistic for bioengineering applications) can be incorporated easily.
Since one cluster can be a neighbor to multiple clusters, which may correspond to alternative gene organization in different species, we observed some more complicated neighboring relations.
Alas, matters become more complicated once we consider relations.
In the course of the 1960s and 1970s, Cold War participants struggled to adjust to a new, more complicated pattern of international relations in which the world was no longer divided into two clearly opposed blocs.
The trend of changes in strategic relations among major powers are more complicated than changes in relative strengths.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com