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For that matter, the empty relation is also a bisimulation on G. Let's call this relation R. It would take a lot of checking to actually verify that R is a bisimulation.
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Let us briefly compare Algorithm 3 and Algorithm 4 on two extreme cases: (i) the AF F 1 = (A, A × A ) with the total attack relation and (ii) the AF F 2 = (A, ∅ ) with the empty attack relation.
The spectrum of each mode is obtained and compared with that for the empty waveguide (relations (18)–(20)).
And it does this in the emptiness of betweenness, the empty space within which relations between individuals and societies form and continue to re-form.
He appended one of his most significant philosophical essays ("On the Ontological Mystery") to the play Le Monde cassé, in which the "broken world" of the title is displayed in the empty life and relations of the charming, despairing, and yet still hoping woman who is its protagonist.
Our study also showed an interesting positive correlation between the distance of the empty osteocyte lacunae in relation with time.
The two most important findings of this experiment are that (1) osteocytes disappear especially beyond a drilling time of 27 s and (2) that there is a positive correlation between the distance of the empty osteocyte lacunae in relation with drilling time.
Precisely because this original urban structure is part of a new system of relations, the "empty" spaces of silence within it could also take on "the contours of a simple detail… to lose some of their traits and adopt surprisingly new ones (including the urgency of being listened to at last)" (Corzani [1994], p. 167), rather than being relegated to narrating marginality.
Normalization of the results as percentage of IIH6-positive cells in relation to the empty vector control showed a statistically significant difference in αDG glycosylation between wild-type and mutant constructs (Fig. 4; P = 0.042).
Because in the empty space would be more than a few unresolved feelings around our relation with uncertainty of the Unknown and Unknowable.
Filling the empty days?
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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