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This process of decomposition may be undertaken to gain insight into the identity of the constituent components which may reflect individual physical processes of interest. Also functional decomposition may result in a compressed representation of the global function, a task which is feasible only when the constituent processes possess a certain level of ''modularity'' (i.e., independence or non-interaction).
{{clarify span|Interactions|reason=The notion of 'interaction' of mathematical functions is undefined, likewise for 'observable', 'perception' etc. I guess this paragraph confuses mathematical notions (like 'function') with physical intuitions (like 'process'); this should be fixed.}} between the components are critical to the function of the collection. All interactions may not be {{clarify span|observable}}, but possibly deduced through repetitive {{clarify span|perception}}, synthesis, validation and verification of composite behavior.
== Basic mathematical definition ==
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