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This peak represents lattice discontinuities which lead to short-range (lattice) order.
Furthermore, Γ has minimal and maximal (with respect to the product lattice order ⪰ S ) generalized Nash equilibriums.
Let ((R_{2}, succeq _{2})) denote the 2-d Hilbert lattice equipped with the component partial (lattice) order ⪰2.
Recall that, in every Banach lattice, the topology (norm) is always natural with respect to the given lattice order.
Based on the above argument, they are the minimal and maximal (with respect to the product lattice order ⪰ S ) extended Nash equilibriums for this game.
For example, it is well known that the norm topology of a Banach lattice is always natural with respect to the given lattice order.
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Also, at concentrations around 12% of Mn, rapid deterioration in the lattice ordering occurs due to Mn precipitation[8, 12].
The (002) band is an indicator of lattice ordering, while the γ band echoes the saturated structure.
Given a phone lattice, the basic alignment procedure is that of finding an ordered link equivalence that is consistent with the lattice ordering and is also a total ordering.
The spectrum in Fig. 7 indicates a nearly defect-free lattice ordering, and reveals that the multiwalls forming the nanotubes have a perfect lattice without defects, edges, or plane terminations, as seen in Fig. 7.
The X-ray diffraction study confirms that the material has layered LiNi0.3Co0.3Mn0.3O2 structure with a space group of R¯3m along with the formation of Li2MnO3 phase with super lattice ordering (C2/m).
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