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But there is bound to be a violation of one or both of the two criteria, Conservativeness and Eliminability.[13] A final example: We know by a theorem of Tarski that no theory can be an admissible definition of the truth predicate, \(Tr\), for the language of Peano Arithmetic considered above.
Note that the constructions of disjoint union, cartesian product, sequence, set and cycle are all admissible: Definition 0.3 ([ 27]).
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Finding that balance, most especially in the rules for admissible definitions, was a considerable feat.
The function is admissible in Definition 1.1 for.
while (b,m,α i,β i,μ i )1≤i≤d are admissible parameters see Definition 2.6 in Duffie et al. (2003) for details—and (h_{i}colon {mathbb {R}_{geqslant 0}}^{d}rightarrow mathbb {R}^{d}) are suitable truncation functions.
In the first we recall the notion of p-admissible structure (Definition 7.1), originally introduced by Hajlasz and Koskela in [48].
If it does meet these criteria, let us call \(T^*\) admissible (for a definition of X).
The flux vector corresponding to e is by definition admissible and has zero flux on the perturbed reactions by (4).
We also remark that the set of Δ which are admissible in the definition of amenability given in there is a G-invariant, smooth subspace of L 2 (G ), thus, by translating and rescaling Δ we can assume Δ (e ) = 1.
Mr. Reinares, the expert on terrorism, said the tribunal appeared to have been very strict in its definition of admissible evidence.
Definition 2.2 (Admissible control).
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