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Proposition 4 Cyclic shifting transformation.
Thirdly, by mth shifting transformation of four-dimensional linear systems, multi-wing hyperchaotic attractors are realized.
This shifting transformation is called translation.
In fact, according to shifting transformation of SSR repeat pattern, the "AGC" repeat unit could be theoretically considered as the same pattern of "CAG" for efficient identification.
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(i) Shift transformation matrix: (12).
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).
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.
These peripheral, non-scientific concerns are not addressed at length in this manuscript; however they do exist, and their impact to the paradigm shifting healthcare transformation towards individualized medicine will be critical for its success.
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.
The CB-118 to 4-OH-CB107 4-OH-CB107 4-OH-CB107erelationship than other associations related to a 1,2 shift transformation.
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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