Sentence examples for vector dependence from inspiring English sources

A more detail and general form of the gradient energy is derived from the consideration of the total Burgers vector dependence of dislocation line energy.

The scattering intensity increases exponentially with time initially, and the wave vector dependence of the growth rate of fluctuations is consistent with predictions for initial stages of a phase transformation process.

The scattering vector dependence of the collective relaxation rates estimated for both fast and slow processes indicated a minimum at scattering vector q = 1.5 Å−1, corresponding to the position of a peak in the static structure factor.

The spectrum of interface phonons is determined by solution of Eq. 3. In Fig. 1 is shown the wave-vector dependence of the interface phonon frequencies.

This dependence is calculated for the quantum wire based on CdSe surrounded by ZnSe barriers with m = 0 in Eq. 3. The material parameters are taken from [17]. Figure 1 The wave-vector dependence of interface optical phonon frequencies for ZnSe/CdSe/ZnSe quantum wire.

In solution state, the wave vector, q, dependence of static structure factor, I q), could be described by I q)= Igexp(−q2Rg2/3 +IRq−α.

The measurement value y is assumed to be a d-dimensional vector whose dependence on the n-dimensional state x is given by text{y} = h (text{x}) + varepsilon, (1).

This reduces the number of parameters and allows us to extend the model to consider the vector's dependence on temperature.

The strength of this approach is the decoupling of substrate labeling, i.e. the EMU basis vectors, from the dependence on free fluxes, i.e. the coefficients.

In this study, we develop a novel fault feature vector based on the dependence.

Studies in MHC class II-deficient mice revealed that neither vector could overcome the dependence of CD4+ T cell help in the development of humoral and cellular responses following immunization.