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A reason driving the establishment of representations is here to assert and maintain a specific identity, as well as to valorize the group (Cohen-Scali and Moliner, 2008).
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So, this work describes in detail the principles of the transformation and its application and will constitute the base framework for the establishment of formal representations and proof of the transformation.
The establishment of sparse representation of the discriminant dictionary filters a part of the artifacts and noise.
Establishment of proper mathematical representations requires identification of a suitable model with an adequate framework and structure to determine the parameters in the framework.
Key research issues in the development of such systems include building understanding of the kinds of applications that designers of PSS might need and the establishment of well-founded representation schemes to underpin and support communication between PSS-CAD systems.
2. Establishment of a virtual representation of the hole-cylinders and calculation of their virtual projection landmarks with respect to the cylinder orientation.
Hill, McArthur, and Bishop [31] suggested the LDN indicated the recruitment of extra cortical structures for the processing of phonologically significant differences between stimuli, while Zachau, Rinker, Korner, Kohls, et al. [32] argued that it reflected the establishment of more permanent internal representations of recurring regularities in the incoming auditory stream.
The establishment of a committee with representation from the community as well as the funding body that could serve as the link between the community and the funders would be critical.
Indeed, it is generally agreed upon that reading acquisition consists of two parts: on the one hand, the development of phonological and orthographic representations and, on the other hand, the establishment of associations between these two types of representation [6] [7].
The bitplane coding process in BL-EZBC begins with establishment of the Bit Length Quadtree representations for the individual subbands.
In light of Bryant and Bradley's work (1985) [13], we assume that one of the difficulties involved in learning how to read relies partly on the establishment of associations between the orthographic representation of a word and the corresponding phonological representation, i.e., between the visual image of the word and its auditory image.
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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