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For each simple, small relation algebra they computed the spectrum of the algebra, namely the set of cardinalities of square representations of that relation algebra.
It automatically provides a new belief set, namely the set {q | r<′q for some r}.
Namely, the set of states of the automaton corresponding to g is (g|_{X^*}).
Propositions are taken to be sets of possible worlds; namely the set of possible worlds in which they are true.
Thus the formula defines a binary relation on the integers, namely the set of pairs of integers that satisfy it.
Thus, all possible objective values of a solution (x^) are considered over all scenarios, namely the set (f_{U}(x^)).
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It is important, for example, that a single-minded focus on securing commitment to the "author pays" model of open access – often referred to as "gold OA" – should not undermine efforts to create what many in the open access community consider an essential intermediary step, namely the setting up of open repositories (the "green OA" route).
In this framework the present paper shows how a rational choice of the updating parameters and of the objective function can support the model optimization taking into account the ultimate objectives of the analysis, namely the setting of a reliable model for the assessment of the seismic performance of the structure in the linear regime.
But there are richer principles that are (arguably) intrinsically justified on the basis of this conception, namely, the set-theoretic reflection principles.
In the UFLP, aside from the assumption that the total cost has to be minimized, the problem has two components, namely the set-up cost of operating a facility and the transportation cost of satisfying the clients' requirements from a facility.
The first approach to consider is to split the two sets of users, namely the sets of voice and data users, and solve the association procedure for each group separately, first the voice users and then the data users.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com