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As the differences in two modeling approaches were negligible, results from the ZEUS-NL models which had higher accuracies are utilized in this section.
The relationship between the transformation in the above mentioned references and the transformation, which is utilized in this section, is determined by the multiplication of the data (from one side or from both sides) by the 4 n × 4 n matrix T : = ( − I 0 0 0 0 0 I 0 0 I 0 0 0 0 0 I ) = T − 1, e.g., T ( − x 0 x N + 1 u 0 u N + 1 ) = ( x 0 u 0 x N + 1 u N + 1 ) = ( z 0 z N + 1 ).
To remain consistent with the x, p phase space utilized in this section, we consider the single-dimensional equivalent of the Boltzmann collision operator B f = ∫ d p ′ S (p ′, p ) f (p ′ ) − λ (p ) f (p ) where S ≥ 0 and λ (p ) = ∫ d p ′ S (p, p ′ ).
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"Including but not limited to," is a good phrase to utilize in this section of the contract.
The cassette sections utilized in this concept possess wide and slender flanges, so that by including intermediate stiffeners in the wide flanges, a significant increase in the ultimate load capacity may be achieved.
A variable metric coordinate transformation is utilized in this theory to introduce the cross-section shape fluctuations of yarn into the compliance of textile composites.
The STAR marker set described in the behavioral QTL methods section was also utilized in this analysis.
In this section, we present a system of two integral equations to describe a system of (1.1 - 1.3 1.1 - 1.3itable conditions, which will be underzed in suitable4.
The exact expression of the variance of (M_{t}) is presented in Appendix 1, which is utilized in Section 4.
Melzer's research was utilized in Section IX of the ICRC's Interpretive Guidance on the Notion of Direct Participation in Hostilities under International Humanitarian Law.
A Brewster-angle refractometer (Fig. 4(b)) has been used to estimate the n of the solid material composing the phantom (same cubic sample utilized in Section 2.3).
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