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(i) Shift transformation matrix: (12).
First of all, we note that by a time shift transformation, it follows from the definition of (hat{Y}^{varepsilon}_{s}) that for (sin [0,delta]), the process (hat{Y}^{varepsilon}_{kdelta+s}) coincides in distribution with the process (Y^{X^{varepsilon }_{kdelta}, {Y}^{varepsilon}_{kdelta}}_{{s}/{varepsilon}}) defined by (A.1) in Appendix A.
In the "scaling" and "shift" transformation, we multiplied the read counts of selected transcripts by varied quantities (with variations as one fifth of the multiplied values) after applying the "shift" transformation (Additional file 3).
The CB-118 to 4-OH-CB107 4-OH-CB107 4-OH-CB107erelationship than other associations related to a 1,2 shift transformation.
In the "shift" transformation, we added varied quantities (with variations as one fifth of the added values) of read counts into the selected transcripts in either group.
For example, pairs of 1,2 shift transformation (e.g., 4-OH-CB146/CB-138 in Figure 3C, 4-OH-CB146/CB-153 in Figure 3D) showed stronger correlation (R = 0.52 0.53) than those dominated by direct oxygen insertion (e.g., 3′ -OH-CB138/CB-138 in Figure 3E, 3-OH-CB153/CB-153 in Figure 3F) (R = 0.22).
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Instead, they made a brave stab at transformation, shifting James's story from nineteenth-century London to contemporary Manhattan.
This structural transformation shifts the main absorption of the carbazole chromophore from the ultraviolet to the visible region and, as a result, is accompanied by the appearance of an intense red color.
Like many inspired and evolving artists, McMaster's work shows a transformation, shifting focus from his past paintings to his current series.
The linear transformations shift the component means and alter the variances in the independent system so that each state in the HMM system is more likely to generate the adaptation data[33, 34].
Additionally, the second phase dramatically enhances the entropy change of these structural transformations and shifts them to higher temperatures.
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