Since we introduced verification bias in the same manner each time, we would expect no important differences in data structure between replications.
Although the air flow in the booth was maintained constant and substances were introduced every time in the same manner, it would be essential to measure (with gas chromatography) the actual levels reaching the individuals and ensure that delivery of the substances is constant through methods such as those described by Fiedler et al. (2000).
For odd N, randomly introduce a pseudo-observation in the same manner as the r = 1 case discussed in Section 1.2. Figure 2 shows a minimum-weight 3-factor, G 3 *, for the data in Table 1 with respect to Euclidean distance.
Our method complements an earlier introduced method to computationally model in the same manner proteins of different lengths and families for analysis of their cellular localization (Matsuda et al., 2005).
Incidentally, the couple have opted to keep their daughter off the family's wildly populer E! reality series and declined to share first images of the child in celebrity magazines like other A-listers in the past — Brad Pitt and Angelina Jolie debuted their daughter Shiloh on People and Jennifer Lopez introduced her twins to the world in the same manner.
Furthermore, when the PH assumption does not hold for some covariates, the time-dependent effects of these covariates may be introduced in the flexible model (4) in the same manner as time-dependent HRs between event-specific hazard functions.
The cytoplasmic protein ActR was amplified in the same manner and introduced into pIJ6902.
In the same manner, we introduce a cotangent bundle, T ∗ M, with cotangent vector to ξ expressed as d ξ = d ξ 0 = d τ, d ξ 1, …, d ξ n ∈ T ∗ M. 6.
A tangent bundle of M is written as T M = ⋃ p ∈ M T p M. A tangent vector to ξ is expressed as ∂ ξ = ∂ ∂ ξ 0 = ∂ ∂ τ, ∂ ∂ ξ 1, …, ∂ ∂ ξ n ∈ T M. In the same manner, we introduce a cotangent bundle, T ∗ M, with cotangent vector to ξ expressed as d ξ = d ξ 0 = d τ, d ξ 1, …, d ξ n ∈ T ∗ M. A characteristic function f is a C ∞ -function that maps a point on M to a real number.
We introduced site correction values calculated from average O C times in the same manner as that used for hypocenter determination with the one-dimensional velocity model.
Since focus group sessions may not have been moderated in the same manner this may have introduced some variability in the results.
