Sentence examples for in the foregoing sections from inspiring English sources
Unlike in the foregoing sections, multivalued maps are not necessarily compact-valued, but only with nonempty values.
And, arguably, it is only the first conception that gives rise to the puzzles outlined in the foregoing sections; bulky boundaries can be treated as ordinary, extended parts of the bodies they bound.
The concept of dystechnia serves to explain what it is that the technology entrepreneur acts upon, proffered here as a theoretical construct emanating from the holism of theoretical framework elucidated in the foregoing sections.
Based on the results in the foregoing sections, we now outline a procedure for the design of a FE-based super-directive multiple beamformer and for assessment of its practical feasibility.
Our goal is to describe the behavior of the solution near a point ξ ∈ M. For the sake of simplicity, we assume that ξ is the origin and that G ∩ U = D ∩ U for a certain neighborhood U of the origin, where D = K × R n − m is the same domain as in the foregoing sections.
The data in the foregoing sections show that Hsp60 is found not only inside cells but also in the extracellular culture medium of tumor cell lines.
As highlighted in the foregoing section, this paper originates from a larger cross-sectional case study that was carried out in two districts, namely Mkuranga and Mufindi, in Tanzania.
As already pointed out in the foregoing section, these classes will be shown to coincide by Theorem 1 below, whose proof is just based on Lemma 1.
As in the foregoing section, all topological spaces are metric, all single-valued mappings are continuous and all multivalued mappings are compact-valued.
Remark 4 In view of Proposition 1 and its analogy for q.p. sequences mentioned in the foregoing section, a discrete (i.e., restricted to ℤ) analogy of Theorem 2 holds for sequences.
