Sentence examples for naturally equivalent from inspiring English sources

The completed latching category (overline{L}(langle [n],x rangle )) of Definition 8.13 is then naturally equivalent to the product ([1]^{n-n'}) of (n-n') copies of the category [1].

To construct the adjoint functor (5.8), it suffices to observe that the (mathcal {C}_-/c) is naturally equivalent to (pi (c) in Delta ), and let (A(c) = langle pi (c),tau (c) rangle ).

The fibration (B(mathcal {C}) rightarrow Delta X) of (5.10) is generating in the sense of Definition 5.3, and the corresponding special prefibration over (Delta X) is naturally equivalent to (mathcal {C}).

The DG category (mathcal {C}_cdot ) is pretriangulated, and the triangulated category (H_0(mathcal {C}_cdot )) is naturally equivalent to ({text {Ho}}(mathcal {C},W)) as a triangulated category.

Then composing (U^dagger ) with the restriction to (I_n subset I_{le n}), we obtain a functor begin{aligned} M mathcal {C}^{I_{le n-1}} rightarrow mathcal {C}^{I_n}, end{aligned}and (mathcal {C}^{I_{le n}}) is naturally equivalent to the right comma-category (mathsf{R}(M)).

Corollary 2.9 The category of filtered (A 1, …, A r | B 1, …, B s ) polymodules is naturally equivalent to the category of filtered (A 1, …, A r, B 1 o p, …, B s o p | K ) polymodules.

Despite all promises of experimental reprogramming, scanning the literature for physiological naturally occurring equivalents of cell fate plasticity reveals a much darker side of the concept.

The seven mutants with naturally occurring equivalents all demonstrated significant increases in MICs over the parent strain with all tested antimicrobials.

The significance of this change in the nature and amount of pollutants lies in the fact that many of these chemicals have been found to perturb animal physiology, even although in most cases they are entirely synthetic and there is no naturally-occurring equivalent.

Should we still be able to give the naturally disadvantaged one the equivalent of iodine?

It's also one of the rare occasions where a French company has scored more funding than its American equivalent – but naturally these 2 companies are not at the same stage of development.