Functional decomposition | Wikipedia audio article
Channel: wikipedia tts
Date: 14/01/2019

This is an audio version of the Wikipedia Article:
https://en.wikipedia.org/wiki/Functional_decomposition


00:01:00 1 Basic mathematical definition
00:08:16 1.1 Example: Arithmetic
00:10:23 1.2 Example: Decomposition of continuous functions
00:10:35 2 Motivation for decomposition
00:19:04 3 Philosophical considerations
00:19:32 3.1 Reductionist tradition
00:21:33 3.2 Characteristics of hierarchy and modularity
00:21:58 3.3 Inevitability of hierarchy and modularity
00:23:36 4 Applications
00:26:00 4.1 Knowledge representation
00:26:21 4.2 Database theory
00:27:27 4.3 Machine learning
00:27:39 4.4 Software architecture
00:29:52 4.5 Signal processing
00:34:02 4.6 Systems engineering
00:39:41 5 See also
00:40:59 6 Notes



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SUMMARY
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In mathematics, functional decomposition is the process of resolving a functional relationship into its constituent parts in such a way that the original function can be reconstructed (i.e., recomposed) from those parts by function composition.
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).
Interactions between the components are critical to the function of the collection. All interactions may not be observable, but possibly deduced through repetitive perception, synthesis, validation and verification of composite behavior.