Exact(13)
The total wave field in the multilayered elastic structure is described as a sum of incident wave field modeled by the transfer matrix method and the scattered wave field governed by an integral representation containing the crack-opening-displacement.
Readers construct at least two interrelated representations when they comprehend a text: (a) a propositional representation containing the individual ideas that are derived from each sentence and the relations among them and (b) a discourse model, a representation of the context or situation to which the text refers.
Another fragment representation containing side chains is RECAP fragments, which are the building blocks for synthesizing molecules.
The technical information used is a traditional bag-of-words representation, containing the frequency of the terms present in the document.
For the ((lambda |beta )) representation containing an additional overtime decision per job, the overtime decision for each job is linked to the overtime decision from the passing parent.
Practical communication and signal processing scenarios, however, frequently lead to an FG representation containing a mixture of continuous and discrete parameters, for example the discrete data and continuous-valued channel state parameters (e.g., phase).
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The spectral function in this representation contains all information about the microgeometry of the mixture.
Sparse graph learned by sparse representation contains local structure information about data and is widely employed in dimensionality reduction.
The distributed functional representation contains the behavioral knowledge related to the components of that level in the structural model.
To allow for opening and sliding at crack kinking and branching the dipole density representation contains conditional extra terms which fulfills the asymptotic behaviour at each endpoint.
A Frobenius reciprocity theorem is proved which relates the number of times an irreducible representation of GL N,C) appears in P(M) to the number of times this irreducible representation contains a representation of its diagonal subgroup.
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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