Sentence examples for derivation details from inspiring English sources

where the derivation details are referred to the Appendix.

In view of the lack of a consistent and complete formulation, derivation details are included for the tutorial purpose.

Derivation details for many of the formulas in the paper are given and several numerical examples to illustrate their use are provided at the end.

We omit the derivation details for the standard local weak formulation, spatial discretization, and temporal discretization here to save space and refer to Thamareerat et al. [25].

The derivation details of risk r 0j (Y is given in Appendix 2. Therefore, by substituting r 1j (Yand r 0j (Y into (11), we can obtain the optimal speech presence decision rule.

We can also simplify the summations ∑ q ~ = 0 Q − 1 e j 2 Π q ~ m / Q = Q δ ( m − m ~ Q ) and ∑ q = 0 Q − 1 e j 2 Πq n / Q = Q δ ( n − ñQ ) where m ~ and ñ are integers (see[23] for the derivation details).

The concepts of spatial and temporal averages are discussed, and the new gust effect factor (GEF) is introduced with its derivation detailed.

These associations suggest a common derivation, but details of the way that carbonatite magmas might concentrate geochemically scarce metals remain conjectural.

Because derivation and details for medical student competency definitions differ widely [3, 4, 6, 11], we used a consensus-building approach for outlining competencies and thus the framework for the educational goals of this curriculum.

The derivation and details of the C-MI-FFD method can be found in the " Appendix".

and the derivation is detailed in Appendix 1.