Sentence examples for derived from the plane from inspiring English sources

(1) When (N=1), the one-breather solution (u^{(1)}_{bs}) is derived from the plane wave initial solution and 1-fold DT in Eq. (22), whose dynamic features are delineated in Figures 5 and 6. Figure 5 Profile and contour plots of one breather localized in space.

(2) When (N=2), the two-breather solution (u^{(2)}_{bs}) is also derived from the plane wave initial solution and 2-fold DT in Theorem 1, whose dynamic features are delineated in Figures 7 and 8. Figure 7 Profile and contour plots of two breathers of first kind.

Stress tensor inversion results using aftershock first-motion polarities and the regional stress tensor derived from the fault plane solutions of large events which occurred between 1943 and 1999.

Frozen serial sections of 6 μm thickness were derived from the horizontal plane through the defect and prepared for histological analysis (n = 6 for each group).

In this theory, the improved transverse shear stiffness is derived from the in-plane stress and equilibrium equation and thus, associated shear correction factor is then obtained analytically.

The characteristic peak at approximately 1580 cm−1 in the Raman spectrum (Fig. 2a) was assigned to the G band derived from the in-plane vibration of symmetric sp2 C C bonds, while the peak at approximately 1330 cm−1 was derived from the first-order zone boundary phonons (D band).

Compared with Norwegian cows using mean data derived from the 2 planes of nutrition, Holstein-Friesian cows produced a significantly higher proportion of milk energy output over ME intake in early and mid lactation, although this increase was not significant in late lactation.

GO and TNTs/GO nanocomposite exhibit two typical peaks of GO at about 1588 cm−1 (G band; derived from the in-plane vibration of sp2-bonded carbon atoms) and a peak at 1338 cm−1 (D band; associated with the vibrations of carbon atoms with sp3 electronic configuration of disordered graphene).

The Jc values of the composite are found to be more than an order of magnitude higher than the energy values corresponding to the plane strain fracture toughness (JKQ, derived from KIc, the plane strain fracture toughness) and >200% higher than elastic plastic fracture toughness (JIc).

Mainline unit revenue, or the revenue derived from the seats on planes that United flies, rose more than 28 percent.

In an extreme case, however, if we substitute 50% of the apical O atoms with F atoms, the Fermi surfaces derived from the inner CuO2 planes seems to be doped with hole due to the hybridization among the bands crossing the Fermi level.