Sentence examples for principal frame from inspiring English sources

Smooth manifolds and submanifolds, tensors and forms, Lie and exterior derivative, DeRham cohomology, distributions and the Frobenius theorem, vector bundles, connection theory, parallel transport and curvature, affine connections, geodesics and the exponential map, connections on the principal frame bundle.

For example, intraresidue H i)–N i C′(i) dipolar CSA interference was proposed to determine the orientation of the H i)–N i) dipole vector in the principal frame of the intraresidue C′(i) CSA tensor and discriminate between type I and type II β turns in proteins.

In the circular restricted three-body problem (Earth Moon Satellite), transit, non transit and asymptotic trajectories, are easily identified by using the principal reference frame.

Bouguer disturbances were computed by subtracting the contributions of topography to gravity, expressed in the same principal axis frame as gravity, using the formulation of Wieczorek and Phillips [ 1998].

This suggested that the orientation of CH vectors of the two rings is approximately parallel and perpendicular with regard to the z-axis of the principal axis frame (PAF) of the respective order tensor.

The two buildings are siblings, if not twins; with four monumental arched windows in their principal facades, framed by wide symmetrical towers.

The molecular shape quadrupoles in the principal-axes frame [9, 13] are given as the following: (2).

(E, F ) PCA analysis: each video was decomposed into 50 8-frame principal components (PCs, top row, 4 frames shown for PC 1, 4 and 50).

GDLOH descriptor, as shown in Figure 2, contains 16 square subregions with four principal characters: the frame center coordination (x, y), the scale σ, and the orientation θ.

Eukaryotic mRNA molecules have a tripartite structure, with a 5' untranslated region (UTR) preceding the principal open reading frame (ORF) and followed by a 3' UTR.

Mr. Dane, one of the most learned lawyers of his time, and who as a member of the continental congress took a principal part in framing the ordinance of 1787, for the government of the Northwest territory, assumes it as unquestionable that, by virtue of the amendment of the constitution, informations 'cannot be used where either capital or infamous punishment is inflicted.' 7 Dane, Abr.