In particular, if q ( x ) ≤ const = q, and ρ ( x ) = 1 / x 2, ∥ T ∗ Q ∥ ≤ 16 q 2. Thus, if 4 q < 1, the equation − x 2 u ″ − q ( x ) u = f has unique positive solution for any f ∈ L 2 ( R +, ρ ), f ≥ 0, f ≠ 0. But if q ( x ) = const = 1 / 4, the equation − x 2 u ″ − ( 1 / 4 ) u = f may not have a solution for some f (this was considered in Example 2.1).
A particular numerical situation and a more general application to the drug combination study are considered in Examples 5 and 6, respectively, in the Appendix.
The choice for each κ has been on the basis of the result (14) for examples to be considered in the numerical examples to follow in the next section.
Possible variations can be considered in (3), for example, by taking into account the subtraction of a constant value from speed values (mean detrending), or of an average profile, and so on.
However, this extra likelihood mass can be considered in other applications, for example, to determine the speaker's head orientation [25].
Flexibility could be considered in different ways, for example, through using product substitution, postponement (Tibben-Lembke and Bassok 2005) and lateral transshipments (Herer et al. 2006).
70 Nerve biopsies are not routinely indicated for HIV DSP but may be considered in atypical cases, for example, those with rapid progression or with prominent motor involvement.
Based on these findings, there are some interesting issues that need to be considered in future studies; for example, how BRCA1 affects GR transcription and whether other factors could cooperate with BRCA1 in controlling GR expression.
It warned that such a levy carried significant risks and its implementation would not be easy, adding it should only be considered in absolute exceptional cases, for example to avert a looming sovereign insolvency.
Whereas in the reference example the coding of two correlated random variables is considered, in our example we consider the coding of a sequence of random variables.
