The SCM shows the spatial separability at the link and system levels, but not at the cluster level since its spatial correlation is related to the joint distribution of the angle of arrival (AoA) and angle of departure (AoD).
Realism is thus the thesis of spatial separability, the claim that spatial separation is a sufficient condition for the individuation of physical systems, and its assumption is here made into almost a necessary condition for the possibility of an intelligible science of physics.
As such, the methods require a certain degree of spatial separability of users in the angular domain.
The spatial autoregression model indicates that the spatial distribution of manufacturing and producer services was subject to the joint effects of agglomeration economics and urban land price, which led the two sectors to retain a degree of spatial separability, even though their co-location was preferable.
The criteria for resource assignment and beam formation are based on spatial separability properties of users, beam vector cross-correlations and induced interference.
If we identify the real state of a system with its qualitative intrinsic physical properties, then spatial separability is related to a separability principle stated by Howard (1985, p. 173) to the effect that any two spatially separated systems possess their own separate real states.
In that case, processes involving classical strings (or p-branes with p > 0) would count as (spatiotemporally) nonseparable, even though all particles and their properties conform to spatial separability.
The spatial-temporal separability is observed for the SCM only at the system level, but not at the cluster and link levels.
Healey (1989,1994) has offered a modal interpretation and used it to present a model account of the puzzling correlations which portrays them as resulting from the operation of a process that violates both spatial and spatiotemporal separability.
The spatial modes combine information about both source spatial structure and the response of the Earth.
