Suggestions(1)
Exact(3)
As we said at the beginning of the section, the true value of α is (alpha_{0}+u/sqrt{n}) for a particular realisation, thus knowing u equates knowing α.
Assuming independence, there are N = ∏ i = 1 n l (i ) realisations (constituent BNs) of the PBN and the probability distribution on f governing the selection of a particular realisation is given by Pr { f = f l } = ∏ i = 1 n c l i (i ).
For our simulations we chose a particular realisation of Eq. (1) which after a scaling is given by the dimensionless equations x j ' = α j R j (Z 1, Z 2) - γ j x j, j = 1,...,3, where x j is the scaled version of y j, α3 ∈ ⟨0, 1⟩ and all γ j ∈ ⟨0, 1⟩, and Z j = x j p /(x j p + 1).
Similar(57)
Hadar et al. [29] found that increased head movement activity co-occurs with speech, and Beskow et al. [30] found, by analysing facial motion for words in focal and nonfocal position, that prominence is manifested visually in all parts of the face, and that the particular realisation chosen is dependent on the context.
When one or two cycles of data are analysed, the value of log Z for the best-fitting model is within one standard deviation of the second best model (that is, we cannot distinguish between N=4 and N=5 for this particular realisation of the model).
Considering instances of Eq. (1) as models for gene regulatory networks, we checked this out for a large set of 3-dimensional particular realisations of Eq. (3).
Concepts may need to reach a particular state of realisation before being deemed worthy of publication in a peer-reviewed journal, whether this reflects the caution of the author, the inertia of the peer review community or, perhaps, a combination of both.
Structure is then analysed as a realisation of a particular feature or a cluster of features, that is, its 'reflex in form'.
A rather arbitrary demand was to place the realisation of a particular option close to where that option occurs in the sys-net.
Frequencies of occurrence of the linguistic realisation of a particular emotion or emotion clusters in the two languages can be juxtaposed to the associated valence, arousal and dominance values of the emotion words, involving aggregates of bodily gestures as well as behavioural and language-related properties of emotions as particular tertia comparationis in the present analysis.
All these views have in common that they see registers as realisations of an overarching context of culture and discourse as realisations of a particular context of situation.
Write better and faster with AI suggestions while staying true to your unique style.
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