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First of all, a microscopic model for the electronic structure is indispensable, since the relevant states are those of an array of strongly coupled quantum wells.
A central premise for multiple successive large steps according to the model is that the two-headed structure is indispensable.
The result in Figure 5 shows that the knowledge of pedigree structure is indispensable in solving the genome ancestry problem.
Regarding this environment, almost all theoretical studies published so far have demonstrated that some kind of spatial structure is indispensable for the persistence and/or the parasite resistance of any feasible replicator system [ 8, 9, 11].
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To properly assess the current situation of co- and multimorbidity, valid scientific data based on an appropriate data structure are indispensable.
The 'form follows function' principle implies that a structural determination of protein structures is indispensable to understand proteins in their biological roles.
Low density of such structures is indispensable for FE due to the screening effect [11 15].
The deployment analysis of cable net structures is indispensable to the calculation of the deploying force, and meanwhile, it also provides valuable references for the cable net design.
The knowledge about the morphology of those structures is indispensable for interpretation of results of their imaging and provides valuable information for differential diagnostics.
According to the sequence-structure-function paradigm, in order to get insight and fully understand the biochemical processes of the living cells, identifying currently unknown protein structures is indispensable.
Nanoscale functional structures are indispensable elements in many fields of modern science.
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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