Sentence examples for exactly obey from inspiring English sources
Table 1 shows that the convergence rate for u is 1 under the (L^{2} -norm, which exactL^{2} -norm prediction of Theorem 4.1.
The equation describes the motion of a damped oscillator with a more complicated potential than in simple harmonic motion (which corresponds to the case β = δ = 0); in physical terms, it models, for example, a spring pendulum whose spring's stiffness does not exactly obey Hooke's law.
Equation 55 allows the values of b to be calculated with high precision, but it is based on the assumption that if a metallic element were to crystallize in both the face-centered and body-centered cubic forms, both forms would exactly obey the same valence sum rule.
Before that experiment, which won a Nobel Prize for Dr. James Cronin and Dr. Val Fitch in 1980, scientists were sure that the laws of physics exactly obeyed what is called CP invariance.
On the other hand, both fully cured CG samples prepared at rHc show a small frequency dependence of the loss tangent so that critical power-law behaviour is not exactly obeyed.
By definition, this law is exactly obeyed by both the bond fluxes and the theoretical bond valences under all circumstances.
If eq 2 is exactly obeyed, D will also equal zero since no distortion of the cation environment is needed if the valence match is perfect.
Ruberto et al. initially found that Pauling's second rule (eq 2) is exactly obeyed by corundum, indicating that it is a stable structure.
However, as discussed in section 3, bond topologies in which the sum of the Pauling bond strength are exactly equal to the anion valences are particularly stable since the valence matching rule (eq 16) is exactly obeyed for these topologies.
Providing the same coordination number is used, the Pauling bond strength is the same as the cation bonding strength, and when Pauling's electrostatic valence rule is exactly obeyed, La and Lb have equal magnitudes.
The rule is not, however, exactly obeyed by κ-Al2O3 but the deviations from Pauling's rule were unable to distinguish between the many candidate models of the structure.
