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Conclusions are drawn for the examples studied in this paper.
We analyze the same examples studied in Bayona et al. (2011) [2], both with structured and unstructured grids, and compare our new results with those obtained previously.
We show that ifRcoE=PcoE(and two other hypotheses, named the segment property and the extreme points property) and ifϕ∈C1(Ω; Rm) is such thatDϕ(x)∈E∪int PcoE, x∈Ωthen there exists (a dense set of u∈W1, ∞(Ω; Rm) such that[formula]We apply this existence theorem to some relevant examples studied in the literature, as well as to problems with (x, u) dependence.
Unlike trypanosomes, in which polycistronic messages contain a series of different genes, the few examples studied in dinoflagellates consist of tandemly arrayed copies of the same gene [ 37].
As the examples studied in this paper show, the minor species can be better detected if the label is far from the interface.
This latter situation is the case in the prototype examples studied in this paper, where models for fluorescence emission in photosynthesis have been used.
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The introduction of Muslim intellectuals to Western literature and scholarship the Egyptian al-Ṭahṭāwī (died 1873), for example, studied in France ushered in a new literary era the chief characteristic of which was to be "more matter, less art".
This is the example studied in [14, Section 3.1].
This "nonlinear Feynman Kac" formula is, for example, studied in (Pardoux and Peng 1992).
By employing results of the example studied in the previous section, computational comparisons of the ARD and the ARR with the classical one are made in terms of additions and multiplications.
One example studied in our laboratory showed that two subpopulations appear spontaneously in proliferating C2C12 mouse myogenic cells [9].
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com