Sentence examples for depending uniquely on from inspiring English sources

This approach permits us to recover the orthogonality measure throughout the spectral analysis of an infinite matrix depending uniquely on the poles and the parameters of the recurrence relation for the orthogonal rational functions.

Given a component C in A G(A, B), let | C| denote the length, or number of edges, of C. From [ 14, 15] we know that each component in A G(A, B) contributes independently to the DCJ distance, depending uniquely on its length.

Kirk gets entangled with A, and since A is already entangled with B, the result is that the state of B depends uniquely on the original state of Kirk.

The study demonstrated that the daily productivity per unit of illuminated surface area for PBRs operated in batch mode was identical and depended uniquely on the ratio X0/a where X0 is the initial microalgae concentration and a is the illuminated surface area per unit volume of PBR.

The conventional DOG model [39] assumes that the response of a neuron depends uniquely on the local luminance difference (Δ I) between the center and the surround.

Superintendents associated with substantive improvements in district performance are quite rare, likely to be playing a part in an ensemble performance that doesn't depend uniquely on them, and difficult to identify reliably using the best empirical strategies presently available.

Consequently the generation time will depend uniquely on the mortality rate (i.e. the rate of recovery from the pathogen).

They may be particularly successful in this cancer because it depends uniquely on this mechanism, not only for angiogenesis.

Let us consider the particular case in which the nonsymmetrical function depends uniquely on the final conformation: (36) T I ⟶ J = π U J.

Copper cells depend uniquely on the homeotic gene labial during embryonic differentiation (Panganiban et al., 1990; Hoppler and Bienz, 1994; Dubreuil et al., 2001) and function in acid production using vacuolar H+ ATPase pump proteins localized on their apical membranes (Dubreuil, 2004; Shanbhag and Tripathi, 2009).

First, within the framework of the model, the GFRα1+ population is predicted to converge to steady state, in which GFRα1+ units acquire a particular composition that is independent of the initial condition but depends uniquely on the ratio D/ F (colored lines in Figure 4D).