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Then and hence, by Theorem 2.13, we obtain Next, we note that is solution of (3.2) because (3.3).

Then and hence, by Theorem 2.13, we obtain Next, we note that is solution of (3.2) because (3.3)   (ii) Define and since we have.

Next, we note that asymptotically, the complex sinusoids in the columns of Z k are orthogonal, i.e., (61).

Next, we note that ((mu,varphi )) satisfies (16) with equality, which shows that (,mu in E^- n,thE^- n) and (,theta mandE^-(n,mueta )).

Next we note that Theorem 1 and Remark 1 imply the following results of Blahota, Tephnadze [13] for (0

Next, we note that the phase of the optimization variable { m l } l ∈ L in problems (8) and (4) do not change the objective and the constraints of both problems.

At the next step we note that for i 1 = N + Δ according to the definition we have only one value, i 2 = N + 2 Δ, and one term, d N + 2 Δ, in the second sum in Eq. (13).

Excluding the 350 and 550 km daytime cases, which will be discussed in the next paragraph, we note that for all other cases the temperature increases from LSA to MSA to HSA across all latitudes.

end{aligned} For the next step we note that (forallphiinmathbb{P}^{k-1}(hat {T})^{3} subset D_{k}(hat{T})) we have (phi= mathbf {w}_{hat{T}} phi ) by the definition of (mathbf {w}_{hat{T}}) ((D_{k}) is the (mathbf {H}(operatorname{div}; Omega)) conforming Raviart-Thomas space, see [13], Section 5.4).

Next we note first that ({|x_{n} - T(x_{n})|}) is decreasing.

With the next generation of Virtex 6, we note that the smallest device (LX75) is large enough to design a system with four OPs with an on-chip Y-buffer.