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Possibilities for downscaling and upscaling of relations determined at different scales and areal coverage are discussed.
Tribal relations determined access to pasture where each tribe controlled a customary nomadic area.
Two logical values are independent of each other iff the canonically defined entailment relations determined by these values are distinct.
In recent years, there is considerable debate on whether the effective dispersion relations determined in the absence of reaction are also valid in the presence of a reaction, especially for the case of bulk reactions.
Given a row-finite directed graph E, a universal C*-algebra C*(E) generated by a family of partial isometries and projections subject to the relations determined by E is associated to the graph E. The Cuntz Krieger algebras are those graph C*-algebras associated to some finite graphs.
They discover mappings by computing semantic relations, determined by analyzing the meaning which is codified in the elements and the structures.
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This is no surprise to anyone who has experienced polls in, say, Bangladesh or Nepal and who understands the role of clan, caste, tribe, ethnicity, the importance of identity, of such relations determining political allegiance.
Thus, "The terms 'real' and 'objective'…have no meaning except for a consciousness which presents its experiences to itself as determined by relations, and at the same time conceives a single and unalterable order of relations determining them, with which its temporary presentation, as each experience occurs, of the relations determining it may be contrasted" (Prolegomena, p. 17).
The type and topology of communication relations determines the type and number of causality conditions that need to be fulfilled during runtime.
In the processes of ontology construction, relations between concepts and the ways concepts are organized by their relations determine the ontology structure, which in turn affects the accuracy of domain knowledge.
In other words, when relations determine the choice of business partners, society as a whole, in addition to the actors selecting partners, suffer as they pass over more able parties.
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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