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It is straightforward to deduce the stated relation by applying the definition of the difference operator, Lemma 3.1 and the telescopic identity where we recall the notation z m = Z m −1, s, and that z0=0 by assumption.
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Now recall that the vector λ, which is involved in all the above-stated relations, is the 'gluing' parameter determining the pair of auxiliary boundary value problems (4.1), (4.2) and (4.3), (4.4), for which a continuous join described by Proposition 4.3 is possible.
Whatever method adopted, the critical factor is the need to ensure the validity and reliability of the method in relation to the stated purpose.
Purpose/Objective: The prime purpose of the evaluation was "to examine the actual achievements of the project in relation to the stated objectives in the proposal, with a view to document the progress, experiences and lessons learnt, and identify the issues and challenges for the project".
The nonprofits — the Joint Training Institute and the Joint Safety Institute — were created in the early 2000s following a difficult round of job cuts at the DWP, with the stated mission of improving labor-management relations.
The institutes were created in the early 2000s following a difficult round of DWP job cuts, with the stated mission of improving labor-management relations at the nation's largest municipal water and power agency.
A resolution at its annual general meeting last month called for a repeal of the offence, which it said was "unnecessary, disproportionate and inconsistent with the stated policy of the coalition Government in relation to the right of peaceful protest".
That Descartes later admits clearly and distinctly conceiving such a relation suggests, according to Mancosu, that the stated criteria for geometrical curves presented in La Géométrie reveals only part of Descartes' mathematical agenda.
The primary purpose of this review was achieved by describing the numbers and the quality of studies identified in relation to the effect of FFP or fibrinogen concentrate on the stated outcome measures.
The stated mission of the groups was to improve safety and management-labor relations at the nation's largest municipal water and power agency.
The results also show significant relation between level of expertise and participants' selection of source categories, the stated reasons for their selection, and the type of similarity they established between source and target.
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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