Sentence examples for analogously in the case of from inspiring English sources

Analogously, in the case of hyperelliptic curves of degree 4, Bhargava showed that a positive proportion of such curves have no rational points and a positive proportion have infinitely many rational points.

Analogously, in the case of constraints (20), the optimal solution of problem (29) s.t.

Analogously, in the case of the collagen GPO domain, dynamic backbone H-bonds hold the triple helix tertiary structure.

These cardinal virtues are differently, albeit analogously, defined in the case of each level.

By convexity of the modular I φ, ω, Lemma 1.1 can be proved analogously as in the case of Orlicz spaces (cf. also [43] for considering a more general case).

Nevertheless, analogously as in the case of the FIGS atomizer comparable relative sensitivities (relative to iAs V) = 100%) were also achieved: 96.2 ± 1.6% and 105.6 ± 1.6% for MAs V) and DMAs V), respectively.

In terms of applications, analogously to the case of traditional BNs, the qualitative nature of state and time in a PBN framework allows for modelling of large-scale networks.

Taken together, these results indicate that in the two Cardamine plastomes sequenced in this study a major role is played by mutational bias, analogously to what suggested in the case of the Coffea arabica plastome [ 41].

This process, analogously to the case of Poisson and Pólya processes, which can be obtained as limiting cases of it, was shown to be a Markov process.

In the presence of end-tracking cross-linkers, treadmilling can induce relative sliding between filaments of the same and opposite orientation, see Fig. 4. Simulating this dynamics analogously to the case of motor-induced filament sliding, we find again cases of stable homogenous bundles and cases where homogeneous bundles are unstable and complex dynamics emerges.

Moreover, the same assay, used in an end-point format in conjunction with subsampling strategies, could represent a lower-technology alternative for the quantification of non-trait contaminants, analogously to the case of AP testing.