Sentence examples for utilized in section from inspiring English sources

The exact expression of the variance of (M_{t}) is presented in Appendix 1, which is utilized in Section 4.

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.

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).

In section 1, we introduce the basic concepts of UC that are utilized in sections 2 and 3.

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 ′ ).

For immunofluorescence studies, a polyclonal antibody directed against the copper binding sites 4 6 of the Wilson protein was utilized in frozen sections of rat paws and an human autopsy skin sample embedded in a standard embedding solution (Tissue Tec) as outlined before [ 5].

In Section 2, we recollect some useful lemmas on tensors which are utilized in the next sections.

In this section, we outline the main definitions of the F-transform to be utilized in the subsequent sections of numerical implementations.