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The relevant constraint on choice functions is that "EU-dominated options" are not admissible choices, i.e., if an option has lower expected utility than another option according to all pairs of probability and utility functions, then the former dominated option is not an admissible choice.
Since the testing switching { n k } has the property lim k → ∞ ( n k + 1 − n k ) = 1, lim k → ∞ M ( n k ) = lim n → ∞ M ( n ) = 1 so that an admissible choice of K = max ( K a, K b ) can be made in (2.27 - 2.29).
This is exactly provided by the proposed adaptation scheme given in Section 3.2; 3) When P i (t|t) is stabilizing in the sense that (rho left (Fleft [I- left (1-beta ^{[l]}_{j,0}(t)right) L_{j}(t) H_{j}right ]right) < 1) for all i,j=1,…,N [38], ( {lim }_{tau to infty } | Phi (t) |^_{tau } < 1) for admissible choice of the consensus weights. .
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Contender decision rules are standardly framed in terms of choice functions that take as input some set of feasible options and return as output a non-empty set of admissible choices that is a subset of the feasible options.
Different admissible choices for Φ give rise to different solutions A. From this perspective and using these notations, we obtain the following theorems.
A simple and systematic choice of admissible functions, which are the eigenfunctions of the closest, simple problem extracted from the one considered, is proposed.
The use of springs with very large stiffness to model constraints in vibratory systems has been a popular approach to overcome the limitations on the choice of admissible functions in the Rayleigh Ritz method.
The approach uses a semi-analytical model based on an extension of the Rayleigh Ritz method to non-linear vibrations, which is mainly influenced by the choice of the admissible functions.
That way, GIMME is capable of correcting a wrong choice subsequently, until a best admissible (i.a. topologically connected) path in the target map has been found.
Moreover, the residual evaluation problem is considered also, which involves the detection of the occurrence of fault, the estimation of false alarm rate, and the choice of threshold guaranteeing an admissible false alarm rate.
That way, GIMME is capable of correcting a wrong choice subsequently, until a best admissible (i.a. directed) path in the target map has been found (for more details, see Section 4.2.4).
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com