Sentence examples for dependence on the point from inspiring English sources

The dependence on the point p ∈ Φ is indicated by the subscript to the scalar products.

The rate constant for the reaction between the semiquinone radical and oxygen showed little dependence on the point of attachment of the quinone.

The proposed approach may also be used to obtain analytically the dependence of the point mapping on parameters of the system.

Averaging over a band of frequencies generally removes most of the interference effects, except for application points close to the far boundary, the remaining dependence on the application point being equivalent to the effects of mode shape coherence.

The calculation of histogram estimation process is simple, but it has several demerits: 1) Accurate estimation on center point for subspace B j, but weak on edge estimation; 2) Strong dependence on the starting point x 0 and smooth parameter h; 3) High requirement of data for high dimensional feature space.

But the direct relation between the optimum thickness rate and the cost rates does not have a large dependence on the optimization point of view.

The fuzzy controller can work like a classical feedback controller or like a superior control system that can choose some control algorithm in dependence on the working point of the controlled system.

The higher speedup of the condensation case can be ascribed to the source term calculation which has a local dependence on the mesh point and the SOURCE kernel has a higher acceleration ratio.

However, the hLRT has been demonstrated to have several disadvantages, such as a dependence on the starting point and the path through the hierarchy of models [ 37, 38], which undermine and limit its performance in model selection.

A power coefficient of about 0.65 ± 0.05 is deduced from its dependence on the excitation power, pointing out that radiative transitions of DAPs are still involved[60].

The obvious deviation from the ideal, thermodynamical concentration dependence on the diffusion coefficient points out the possibility of enhanced insight into the formation of gas hydrates in the liquid phase at reservoir conditions.