These are based on real life, but they include significant simplifications and changed or invented facts for the purpose of the exercise.
The paper provides significant simplifications and extensions of results obtained by Gorsich, Genton, and Strang (J. Multivariate Anal. 80 (2002) 138) on the structure of spatial design matrices.
In multi-component reacting flows, it is well-known that significant simplifications are available when the "all-Lewis-numbers-are-unity" assumption can be justified.
Although gusset plate connections are widely used to connect bracing and frame members in such systems, their design often involves significant simplifications and idealisations due to the complexity of their behaviour under seismic loading.
Due to the complexity of the problem, significant simplifications were inevitable in order to obtain a manageable CFD model, which were done based on the understanding of the problem by the modellers plus engineering judgements.
It is noteworthy that the electrochemical modulation-free mode (detection at the potential of 0.0 V) is performed, which has greatly simplified the analysis process and will result in significant simplifications of the instrument integrations.
We are aware of the significant simplifications we based our analyses on.
Finally, it is worth recalling that the assumption of atomism generally allows for significant simplifications in the axiomatics of mereology.
Another thing to notice is that, independently of their philosophical motivations and formal limitations, atomistic mereologies admit of significant simplifications in the axioms.
The need for mathematical tractability, however, requires significant simplifications (such as lack of geographic constraints, simple cost functions, or uniform traffic flow between nodes.
Furthermore, overlaps with these results for (N=2,3,4) occur in relatively easy situations and do not lead to any significant simplifications in the complex setting (see Remark 4.6).
