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In particular the argument we outline here only holds in step two groups G and for domains (Omega subset G) that are locally Euclidean convex when expressed in the Rothschild-Stein preferred coordinates.
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This transformation implies that many hot spot cities have preferred coordinated cooperation within a small region rather than the whole UA in recent years.
In particular, neither the presentation of coordinate-based results nor the preferred coordinate space is universally agreed upon, and some analyses are performed and reported at the region-level [e.g. 11], [12].
In this mechanism, coordinating residues for the metal ions included D70 and E96 for one metal and H309, D210, and N212 for a second metal ion, despite the fact that Mg2+ strongly prefers coordinating oxygen ligands.
Unlike calcium and strontium ions, however, cadmium is a 'soft' ligand typically coordinated by only four residues (Dudev et al., 2006), and it prefers coordination by moieties containing nitrogen and sulfur atoms (Andersen, 1984; Sóvágó and Várnagy, 2013).
In the LiCF3SO3PPG 3000) system, the Li+ ions preferred to coordinate to OH groups rather than to ether oxygens; at the composition LiCF3SO3PPG10, all OH groups were coordinated by both lithium and triflate ions, suggesting that the properties of these electrolytes depend to a large extent on metal ion to OH end-group interactions.
They preferred to coordinate with the end hydroxyl group of glycerol, promoted the cleavage of CO bond in glycerol, and resulted in the dominant formation of 1,2-propanediol.
We thus decode the output of F2d as a population code with each cell having a preferred spherical coordinate in a shoulder-centered reference frame.
For bubbly flows, taking the bubble mass M as the preferred internal coordinate, the PSD takes the form: (21) f (x, M, t ) ≈ ∑ i = 1 n N i (x, t ) δ (M − M i (x, t ) ) where N i represents the number density or weight of the ith class and consists of all particles (bubbles) per unit volume with a pivot size or abscissa M i.
"I told Steve Hadley once, I frankly prefer being coordinated than coordinating," she said, referring to the current national security adviser, Stephen J. Hadley.
The pilot says he might try a midnight rescue, but would prefer the coordinates before an attempt.
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