Sentence examples for dependence of the upper from inspiring English sources

(b) Temperature dependence of the upper critical field extracted from the percolation model analysis.

The dependence of the upper bound reconstruction error on the parameter β is discussed at the end of Appendix C.

In Figure 1b, there is a clear upward curvature in the temperature dependence of the upper critical field parallel to the ab-plane, ( {B}_{c2}^{ab} ).

In addition, the strong dependence of the upper singlet lifetime on photon energy (a decrease from 6 to 7 μs at 1.6 eV down to 200 to 300 ns at 2.3 eV; see Figure 4a), suggests again that this lifetime should be associated with radiative transitions (where τU ~ τRU < < τNRU).

In order to understand how solid particles affect strain softening in a common glassy polymer, we investigate the composition dependence of the upper (σy), lower (σfl), and rejuvenated (σyr) yield stresses of neat PMMA as well as glass microparticle (MP) and silica nanoparticle (NP) filled PMMA composites.

The temperature dependence of the perpendicular and parallel upper critical fields indicate that the superlattices behave as an array of decoupled superconducting Nb layers.

Fig. 8 Dependence of amplitude (upper panel) and phase (bottom panel) of relative TEC modulation ΔN T/N T (in %) on the transverse wave number k, induced by an incident Alfven wave with peak-to-peak amplitude of horizontal magnetic component b 1 = 1 nT for various frequencies (shown in the inset).

It is argued that the minimum and maximum dependence models give the upper and lower bounds on union, constrasting with the assumption made by Cornell of independence and maximum dependence.

The transition temperature exhibits a decreasing sigmoidal dependence on hydration: the upper limit is observed for dehydrated bilayers, whereas the lower limit is achieved at the saturation of water-binding capacity of the lipids.

The model has been employed to study the dependence of the Young's modulus and the shear modulus (upper and lower bounds) on the porosity for porosities between 0% to 40%.

The iterative design procedure is suggested and exponential dependence of upper accuracy limit on number of iterations is established.