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Published in:
2008 | OriginalPaper | Chapter
Multidimensional Events in Multilevel Systems
Author : Jeffrey Johnson
Published in: The Dynamics of Complex Urban Systems
Publisher: Physica-Verlag HD
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Design involves assembling parts into whole to satisfy specified relationships. Binary relations between pairs of elements are not rich enough to represent the generality of this. Powerful though they are, graphs and networks must be extended to
multidimensional networks
to represent the many subtleties of complex systems. These structures underlie a natural theory of multilevel systems that has within it a kind of structural time defined by multidimensional
events
. Slow changing relational structure is discriminated from fast moving events captured by patterns of numbers. It will shown that the former acts as a kind of multilevel multidimensional
backcloth
for the multilevel multidimensional dynamic
traffic
of the latter. The theory will be illustrated by examples.