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Two fun thoughts to ponder: 1. A common view of the schema or DTD is as a means to validate the instance for acceptance. However, it is perfectly useful as a means to validate an instance for rejection. You can have anti-schemas, anti-anti-schemas and so forth given some dynamic exchange such as messages which are themselves, evolving (the schema is a kind of message). 2. A URI as a namespace identifier takes a single value from an infinite space and uses it to label an instance from a potentially infinite space (vocabularies are dynamic in time as expressed by a schema signature). If we think of that variation as motion, then the equations evolve in time. If the DTD or schema for a vocabulary is considered a classifier, then as noted by Farmer and Packard, "in typical studies in dynamical systems theory the dimension and the components of the state vector are fixed. In contrast while the list of variables in the immune or classifier systems is always finite, its composition varies with time. As components are created or destroyed the differential equations describing the dynamics change and both the dimension N and composition of the state vector changes... Of course it is possible to embed such a system in an infinite dimensional space and view the dynamics as fixed in time. We find it more useful though to construct an algorithm that generates the appropriate dynamical equations in the lowest possible dimensional state space and study the dynamics in this context." (1) (1) J.D. Farmer et al./The Immune System, Adaptation and Machine Learning len
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