Sentence examples for useful condition of from inspiring English sources

A useful condition of proving the convergence of cascade algorithms is described in the following lemma.

Analysis of live transgenic animals allows for continuous or repeated monitoring of the immune cells' behavior, a useful condition for examining sequential arrival of different cell types or resolution of inflammation, for example.

We show that asymptotic contractiveness is not only a useful condition for showing the existence of a fixed point, but also a necessary condition for the existence of a globally stable fixed point.

Scheme 1 Optimisation of condition for reaction between dimedone and 4-NO 2 -benzaldehyde in the presence of SmCl 3. Based on these results it was concluded that use of SmCl3 (10 mol %) in water, at room temperature and SmCl3 (20 mol %) without solvent at 120°C would be the useful conditions for the formation of open chain compound 3d and the 9-phenyl1,8-dioxo-octahydroxanthane (4d) respectively.

Now, we give useful conditions for the existence and uniqueness of a tripled common fixed point.

The body must be in useful condition at the time of death.

A limiting factor in the application of these methods is the lack of useful conditions guaranteeing convergence to the global minimum; several adaptive control algorithms suffer from the same limitation.

The model is useful under conditions of high ingredient's price variation.

Not only does this study provide useful operational conditions of nanoindentation induced anodization in phosphoric acid, it also generates significant information for fundamental understanding of AAO formation.

Interestingly, the gene dld appears only in the low irradiance-adapted strains SS120 and MIT9211, suggesting it could be useful under conditions of energy and oxygen limitation [35].

For the alanine amino-transferase (ALAT) reaction, a high pyruvate concentration would favor glutamate conversion to α-ketoglutarate and consequently an increase in the TCA intermediary pool, which would seem useful under conditions of an eminent TCA acceleration and could therefore be considered a feed forward mechanism.