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The approaches which em[[body]] [[concepts]] of systems, multiple elements, multiple relational regimes, and state spaces might be summarized as implying that complexity arises from the number of distinguishable relational regimes (and their associated [[state]] [[space]]s) in a defined system. Some definitions relate to the [[algorithm]]ic basis for the [[expression]] of a complex [[phenomenon]] or [[model]] or [[mathematical modelling|mathematical expression, as is later set out herein.
 
The approaches which em[[body]] [[concepts]] of systems, multiple elements, multiple relational regimes, and state spaces might be summarized as implying that complexity arises from the number of distinguishable relational regimes (and their associated [[state]] [[space]]s) in a defined system. Some definitions relate to the [[algorithm]]ic basis for the [[expression]] of a complex [[phenomenon]] or [[model]] or [[mathematical modelling|mathematical expression, as is later set out herein.
[[File:Complexity-map.jpg|center]]
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[[File:Complexity-map600.jpg|center]]
 
==Disorganized complexity vs. organized complexity==
 
==Disorganized complexity vs. organized complexity==
 
One of the problems in addressing complexity issues has been distinguishing conceptually between the large number of variances in relationships extant in random collections, and the sometimes large, but smaller, number of relationships between elements in systems where constraints (related to correlation of otherwise independent elements) simultaneously reduce the variations from element independence and create distinguishable regimes of more-uniform, or correlated, relationships, or interactions.
 
One of the problems in addressing complexity issues has been distinguishing conceptually between the large number of variances in relationships extant in random collections, and the sometimes large, but smaller, number of relationships between elements in systems where constraints (related to correlation of otherwise independent elements) simultaneously reduce the variations from element independence and create distinguishable regimes of more-uniform, or correlated, relationships, or interactions.

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