Sentence examples for conditions for sets from inspiring English sources
But the identity conditions for sets are intelligible only if the notion of a set is intelligible.
If propositions are unstructured, then if they are sets, they inherit the identity conditions for sets: sameness of members.
In this paper we find conditions for sets of p runs which, when adjoined to an asymmetric orthogonal array, result in a D-optimal orthogonal array plus p run design.
This seems to transpose the identity conditions for sets into an appropriately intensional key, and this is precisely how identity conditions for properties work in accounts that treat them as intensions (as functions from possible worlds to sets of objects therein) (Montague 1974).
Not the best conditions for setting up house.
Simultaneously, by virtue of the derivative, we obtain second-order sufficient optimality conditions and necessary optimality conditions for set-valued equilibrium problems.
The most appropriate element for both NSGA-II and MOPSO algorithms is accordance with Table 2 that have necessary conditions for setting up algorithms parameters.
Recently, much attention has been paid to characterizing optimality conditions for set-valued optimization and related problems by utilizing contingent epiderivatives; for example, see [6 12].
Next, we provide some examples of universally inductive sets and investigate some more practical conditions for set-valued mappings to have fixed point in partially ordered topological spaces, where the continuity condition is not applied to the considered mappings.
Based on the invariant subsets obtained, the necessary and sufficient conditions for set stability and set stabilizability are established, and formulae are provided to calculate the shortest transient periods for respective initial states.
Li et al. [18] studied some properties of higher-order tangent sets and higher-order derivatives introduced in [4], and then obtained higher-order necessary and sufficient optimality conditions for set-valued optimization problems under cone-concavity assumptions.
