The phrase "are required namely" is not correct in standard written English.
It is an awkward construction and does not convey a clear meaning.
Example: "The documents that are required namely the application form and proof of identity must be submitted by Friday."
Alternatives: "are required, specifically" or "are required, including".
In turn, two critical quantities are required, namely, TD,0 and TV,0.
Thus, the current study employs contact explosions because various strengths of blast charge are required; namely, when considering the explosion tests on a laboratory scale, the local damage of the concrete panel caused by the close-in blast test is difficult to perform, whereas the evaluation of local damage is possible with only a small amount of blast charge in contact explosions.
However, two external distributions are required, namely the NCBI Blast distribution, and the SOAP::Lite client to utilize the KEGG API.
Nevertheless, additional data are required, namely inclusion of males and youth subjects, to fully characterize the involvement of these loci in the development of obesity within the Portuguese population.
To do something about this hard core, a second line of government policy would be required; namely, direct intervention to help the poor.
It is shown that only one unknown probabilistic function is required, namely the probability density function of the specific surface energy.
The results in [1] are also derived for separated endpoints (1.3), but instead of (ii) the 'weak Atkinson condition' is required, namely for some N 0 ∈ N inequality (1.4) holds only for every column z of the natural conjoined basis Z ˜ of ( S λ ), which is defined as the solution starting with Z ˜ 0 = − J α ∗ ; see Hypotheses 4.1 and 4.2.
In addition to improving the robustness of the beamformer/precoder, this has the further advantage that only a minimal amount of CSIT is required, namely the angles of departure of the most significant specular components together with their respective gains as obtained from a low-rank basis decomposition.
To compare the organisms more realistically, another approach was required: namely, taking the total length of each set of sequences analyzed as a reference.
To begin to address the central issues of SNPs, haplotypes and cancer, detailed knowledge of the scope and pattern of genetic variation will be required, namely SNPs, haplotypes and linkage disequilibrium for genes and pathways critical to cancer in different populations.
Formal models of the effects of reinforcement and nonreinforcement in associative learning (Rescorla and Wagner 1972) assume that 3 factors are required for conditioning, namely contiguity, contingency, and prediction error (Schulz 2006).
