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Proof Performing a coordinate shift as follows: I ˜ = I − I ∗, R ˜ = R − R ∗, and letting F ˜ denote the transformed F, we translate the equilibrium point Q ( I ∗, R ∗ ) into Q ˜ ( 0, 0 ) and discuss the equilibrium point Q ˜ of the map F ˜.
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With respect to the proposed dynamic TDD scheme based on traffic and interference, we give the flows of shifting as follows: Step 1: Obtain the downlink sub-frame numbers l i and l according to formulas (1) and (2).
We defined the shifts as follows: the day shift ran from 7 am to 4 pm, the evening shift from 4 pm to midnight, and the night shift from midnight to 7 am.
To account for the variability in overall scale, we normalize the inferred log-weights in each replicate by calculating the average log-weight in the replicate, that is, (22) μ i = 1 8 ∑ s = 1 8 log [ w s (i ) ], and a total average scale of the replicates (23) μ = 1 6 ∑ i = 1 6 μ i, and then transforming the estimated shifts as follows: (24) w s (i ) → w ˜ s (i ) = w s (i ) e μ − μ i.
The steps used to carry out "lift and shift" are as follows: 1. Create and upload an Ubuntu VM image to the NeCTAR cloud.
Similar to Definition 3.10, one can also introduce the concept of Δ-almost automorphic functions attached with shift directions as follows.
Step 3: for half-curves that showed significant tuning, we performed a shift analysis as follows.
Using VPA 3400) as an example, chemical shifts were as follows: vinyl hydrogens from the acrylate (δ = 6.0, 1H, doublet; δ = 6.2, 1H, multiplet; δ = 6.4, 2.7H, doublet, convoluted with aromatic Hs); PEG hydrogens (δ = 3.4 − 3.8); aromatic hydrogens from vancomycin (δ = 6.4 − 7.8); and methyl hydrogens from vancomycin (δ = 0.9, 3.7H, doublet).
The Doppler shift is calculated as follows: f D = f c c v t cos ϕ t 0 − α t + v r cos ϕ r 0 − α r, (1) Figure 1 Geometry of a single cluster problem.
The energy spectrum model in the wavenumber-frequency domain is constructed in the presence of Doppler shift and broadening as follows: (1) where k and ω denote the streamwise wavenumber and the frequency in the observer's frame (in the Eulerian sense), respectively.
The basic concept of the mean shift algorithm is as follows.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com