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H1 — H2 is the statespace of the complex system (S1+S2).

The statespace of a system is the space formed by the set of its possible states, [2] i.e., the physically possible ways of combining the values of quantities that characterize it internally.

Let S be a set, construed for the moment as the statespace of a physical system, and let Î£ be a sigmafield of subsets of

However, if we wish to adhere to the programme of representing physical properties as subsets (rather than as equivalenceclasses of subsets) of the statespace, we can do so, as follows.

It is a consequence of the rules for obtaining the statespace of the composite system that the combined state of the pair is

Figure 3 illustrates one way of representing the replicator dynamical model of the prisoner's dilemma, known as a statespace diagram.

So, for instance, the statespace of a classical mechanical system composed of n particles, obtained by specifying the values of

“Standard statespace models preclude unawareness,” Econometrica 66

H0 also encompasses the statement that observational error is negligible in the truncated statespace on the spatiotemporal scales used for detection.

Detection is accomplished through rotation of the empirical data, in EOF statespace, away from the direction of maximal noise as estimated from, e.g., a control model simulation.
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