Sentence examples for model structure on from inspiring English sources

It is important in modelling work to establish the influence of model structure on the results – that is, whether the conclusions drawn are linked to the formulation of a particular model.

Then C, F, W is a model structure on (mathsf{G}(L,M,q)).

Then (langle widetilde{C},widetilde{F} rangle ) is a model structure on (langle mathcal {C}^I,W^I rangle ).

To examine the role of model structure on flux retrievals, three different retrieval schemes are compared.

The main technology here is the Reedy model structure on the category of functors (mathcal {C}^I) from a small category I to a model category (mathcal {C}).

We may assume that (X_cdot ) and (X'_cdot ) are fibrant and cofibrant for the projective model structure on (mathcal {C}^{[n]}), so that (f_cdot,f'_cdot in C).

Due to the simplified model structure, on-line parameter estimation is typically required for satisfactory prediction of column performance.

Since k is a field, all the natural model structures on (C_cdot (k)) coincide.

Therefore the injective and projective model structures on (mathcal {C}^I) are unique, if they exist.

The other two model structures on (mathcal {C}^V) are new.

Producing model structures on categories of sections of Grothendieck prefibrations is usually a highly non-trivial exercise.