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What is a separability?

What is a separability? Here are some definitions.

Noun
  1. The property of being separable.
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Examples
In determining the order of the nests one should bear in mind the assumption of separability underlying the nested structure.
On the other hand, it is doubtful that separability of operational systems, though desirable for effective resolvability, would itself be enough.
This distinction between merely possible and essential modes provides an argument for the separability of pure mind from things of the body.
An intangible asset is identifiable if it meets either the separability criterion or the contractual-legal criterion.
Mobility, and separability are the distinguishing properties of extended objects.
The fact of its separability from the body, he says, is no proof of its being an accident.

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