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Examples of admissible manifolds include the following: 1. Bounded domains in Euclidean space, in the sphere minus a point, or in hyperbolic space.
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Figure 8 Illustration of admissible and non-admissible pairs.
For the examples of α-admissible and α-ψ-contractive mappings, see [19, 24] and the examples in the next section.
Other examples of p-admissible spaces are: The classical setting: (mathcal {M}={mathbb {R}}^n,dmuu ) equals the n-dimensional Lebesgue measure, and (Xi = (X_1,ldots, X_m)=(partial _{x_1},ldots,partial _{x_n})).
In the latter case, the number of admissible alternatives strongly oscillates over time.
Suppose there are k profiles in the domain of admissible inputs (in the present example, k = 2n, since each of the n individuals has two choices, with abstention disallowed).
The conditions of the existence of admissible asynchronous H∞ filters are derived, and numerical examples are provided to show the potential and effectiveness of the developed results.
In order to provide a clear intuition of the set of admissible individual preferences, let us present a particular example of the utility function that agents may have.
The use of admissible evidence should not require any "vindication".
Prosecutors, however, say they turn down most reservation cases because of a lack of admissible evidence.
The notion of admissible set is due to Platek [1966].
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