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The phase-coexistence diagrams of single-component systems computed using the proposed single-particle models for CO2 and N2 agree well with experimental data over a wide range of temperatures.

The coding gain (G_{c}^{mathrm { block,th)}}) for uncoded systems computed using theoretical PSK modulations in block fading channels is bounded above by: G_{c}^{mathrm{ bloc,th)}} leq nu left(frac{2}{k}right)^{t+1} frac{aN}{2(t+1)sqrt{pi}}Gammaleft(t+frac{3}{2}, frac{kgamma^_{text{th}}}{2} right).

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( i = 1, ldots, k - 1 ) represents the optimal lags included in the system computed using appropriate lag selection criteria.

Fig. 4. (a) Left panel: dispersion curve (frequency versus angular order) of the modes of the Earth-atmosphere system, computed using a standard atmosphere model (USSA with free surface at 150 km) and reprinted from Lognonné and Clévédé (2002).

{1 1 −2 2}〈1 1 −2 3〉 generalized stacking fault energies and {0 0 0 1} surface energies of a wide range of Mg-based binary alloy systems were computed using first-principles methods.

The twin-boundary segregation energies of {10-12}<10-1-1> thesion twins and the solute-diffusion activation enthalpies for various Mg-based binary systems were computed using density functional theory.

Both of these cases are summarized for quasifree fermionic systems in Table 3: the system algebras were computed using the computer algebra system magma [70] for cases with low number of modes, while the complete picture is provided by Theorem 34 and Corollary 35.

The voltage and current phasors at all buses in the system are computed using the data from a single PMU device, and the fault analysis procedure is implemented.

The PHWR model is perfectly suitable for the application of this new formulation in which the states of the system can be computed using reduced system matrix inversion.

The average system size is computed using L N = lim z → 1 G ′ z.

In order to estimate the degree of aromaticity, the calculation of Nuclear Independent Chemical Shifts [27] on the plane of the aromatic system (NICS0) was computed using the Gaussian 03 package [28], applying the GIAO method [29, 30].

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