The Ni particles are first uniformly separated out on the substrate, and play an important role in capturing carbon atoms and accelerating the nucleation to grow high quality graphene rooting on insulating Al2O3 film.
It is shown that if A and B are uniformly separated closed subsets of a locally compact Abelian group Γ and A and B are in the coset ring of Γ with the discrete topology then there is a compactly supported measure on the dual of Γ with Fourier transform equal to one on A and zero on B.
Then (Gamma ) is uniformly separated with respect to the Euclidean distance if and only if for any (r > 1) there exists (C_r>0) such that begin{aligned} inf _{gamma in Gamma } |T'(gamma )|^2e^{-lambda (gamma )} ge C_r.
Here ϱ ( a j, a k ) = | φ a j ( a k ) | denotes the pseudo-hyperbolic metric in D. We also say that { a k } k = 1 ∞ is an interpolating sequence or an uniformly separated sequence.
For a short electrophoresis time (1 or 2 min), the particles on samples S2 and S3 were well uniformly separated over the surface of the ITO glass (Figure3a,b).
For iPDC and iDTF, p values were computed at 32 uniformly separated normalized frequency points covering the whole interval with a connection being deemed detected for a given pair of structures if its p value resulted to be less than (alpha) for some frequency within the interval.
Let { a k } k = 1 ∞ be a sequence in D. Then the measure d μ a k = ∑ k = 1 ∞ ( 1 − | a k | 2 ) δ a k is a Carleson measure, i.e. sup a ∈ D ∑ k = 1 ∞ ( 1 − | φ a ( a k ) | 2 ) < ∞, if and only if { a k } k = 1 ∞ is a finite union of uniformly separated sequences.
The four focal planes are uniformly separated in the axial direction by approximately 7 µm.
Further comparative experiments show that the sodium citrate was benefit to promote the growth of SnO2 nanosheets and accelerate the assembling of nanosheets into flower-like architecture, the PEG provided nucleation sites and made the nanoflowers grow uniformly and separated.
In particular we prove that, for non-zero photon mass, the ground state is exactly two-fold degenerate and separated by a gap, uniformly in P, from the rest of the spectrum.
