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Furthermore, the conditional efficiency measures5 presented in (5) and (6) assume that the separability condition between the inputs, outputs, the time, and the disasters does not hold, implying that time and the number of disaster occurrences influence directly the shape (the boundary) of the attainable set.6.
But Fogel(2007) presents alternative formalizations of the separability condition, of which several indeed imply outcome independence.
Winsberg and Fine (2003) object that as a separability condition, OI arbitrarily restricts this function to be a product function.
Howard (1989) blames the violation of Bell inequalities on the violation of his separability condition: Teller (1989) takes it to be a manifestation of relational holism.
Fourth, Howard's spatiotemporal separability condition (see section 4.3) requires that states of composite systems be determined by the states of their subsystems.
The method is based-on two necessary conditions: the first condition is a weak failure observability and the another is a weak failure separability condition.
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Thus, the condition of state separability fails: The state of the particle pair (which determines its intrinsic qualitative properties) is not wholly determined by the separate states of the particles (which determine their intrinsic qualitative properties).
Rédei and Valente (forthcoming) formulate a condition of operational separability for an algebraic quantum field system in order to argue that quantum field theory can be squared with the principle of local action.
The simple, necessary and sufficient condition of the separability has been established: trajectories of both sections intersect each other if pinch branches of both sections have common terminals (ending points).
Using the natural duality between linear functionals on tensor products of C∗-algebras with the trace class operators on a Hilbert space H and linear maps of the C∗-algebra into B(H), we study the relationship between separability, entanglement and the Peres condition of states and positivity properties of the linear maps.
We find sufficient conditions that guarantee separability of problem (1.1).
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com