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Including Michael Carrick, whose selection is not guaranteed since he is yet to start for his club in the Premier League, and Rio Ferdinand, out since tweaking a hamstring in the opening-day win at West Brom, Capello could name eight United players in his 23-man squad when it is unveiled on Sunday evening.

(i Theorem 3.1 and Corollaries 3.2 3.4 still hold, except that in the case that the distance between adjacent sets is zero (i.e., if all subsets have a nonempty intersection), the property is not guaranteed, since the restricted self-maps can be expansive for some.

A very important mathematical difficulty related to this view is that the existence of a Condorcet majority winner is not guaranteed, since the policy space of tax schedules is usually multidimensional (see for example Hindriks [7], Grandmont [8], Marhuenda and Ortuño-Ortin [6], Carbonell and Ok [9]).

Further on, it was politically criticised that environmental integrity (in terms of system integrity of the accounting approach) was not guaranteed "since most of the credits are obtained without additional efforts, and the voluntary choice of some activities may lead to unbalanced accounting (only activities yielding credits are included)" [21].

That is, accurate Verlet trajectories are not guaranteed since the action of (1) is not bounded.

Therefore, the optimality of FATCAT alignments is not guaranteed since the sub-optimality property of the dynamic programming does not hold if the score incorporates an rmsd term.

The extension is straightforward if we assume linkage equilibrium between all markers, but an increased precision is not guaranteed since background LD is not accounted for.

Despite the fact that the reform Bill had behind it a well-connected organization like YKP, and through it influential elite politicians, as well as the support of the liberal political parties in Parliament, the outcome of the Bill's passage was not guaranteed since the anti-reform lobby was vocal and proactive.

Notice that we cannot use Lemma 2.2 as in Case 1 (or in [12, 13]) since we could not guarantee that (sum_{n=1}^{+infty}mu _{tau(n)}=+infty).

Finally, since (33) does not guarantee that FF, ρ, does not become negative, a reasonable limit has to be placed on FF, ρ, yielding rho (k)= max left{1-frac{1}{N k)},;{rho}_{min}right} (34).

It should be noted that the UEs with minimum SINR greater than a threshold are considered only candidates, since scheduler does not guarantee that all UEs are being allocated PRBs.

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