Sentence examples for mean vector fields from inspiring English sources

These data were statistically averaged, and the mean vector fields were obtained and used for the examination of the flow structure.

In this paper, we study Vanishing Mean Oscillation vector fields on a compact manifold with boundary.

(ii) The equality case holds in (3.17) if and only if (n_{1}cdot H_{T}=n_{2}cdot H_{theta}), where (H_{T}) and (H_{theta}) are partially mean curvature vector fields on (M_{T}) and (M_{theta}), respectively, and ϕ is a mixed totally geodesic immersion.  .

The mean square vector field difference per degree between the final IGRF-2005 (the arithmetic mean of A1, B3 and C1) and DGRF-2005 ishownwn as the black dashed line.

The evaluations include calculations of root mean square vector field differences between the candidates, comparisons of the power spectra, and degree correlations between the candidates and a mean model.

Spherical harmonic power spectrum and total root mean square vector field.

Mean velocity vector field, corresponding vorticity contours, streamline topologies and turbulent quantities were calculated using 300 instantaneous velocity vector field measured by PIV.

In Fig. 9 the power spectra of the mean square vector field differences per degree between the candidates and also SV-2007.5-G10 compared to SV-2007.5-G11 are presented.

The following result establishes the relationship between the fixed point index of the Poincaré-type operator P and the degree of the mean value vector field w.

The high quality and consistency of main field models derived using vector satellite data is demonstrated; based on internal consistency DGRF-2005 has a formal root mean square vector field error over Earth's surface of 1.0 nT.

Summing the power spectrum i,j R n (Eq. 6) over degrees n from 1 to the truncation degree N of the model provides the mean square vector field at the altitude r.