The first is limited by the length of the carrier random walk through the fractal structure of the material and is valid in the very low frequency range, while at higher frequencies, the random path is shorter and the hopping length stops to be the critical factor.
This expression can be rewritten as 1.3 ⋅ 10α < 1 using the parameters that correspond to the typical magnetic bubble materials; it is valid for magnetic films with damping factor α ~ 10− 2 − 10− 3.
But whether we like them or not isn't material if the patent is valid and granted, right?
As shown in Additional Material, we found that it is valid to use cell numbers in the range of 2,000 to 50,000 cells for comparison of transcriptomes from different mammary cell subpopulations (Additional file 6).
However, the work presented here will show that a material-dependent representative plastic strain is valid in the conversion of flow stress to indentation hardness.
The approach does not need assumptions in the material properties, i.e., it is valid for general anisotropic behavior, or the beam kinematics, i.e., it is based on Cosserat's exact geometrical description of the deformable curve.
This approximation is valid when certain material properties of the two phases are considerably different from each other.
Although contraposition is valid for the material conditional (A ⊃ B iff ~B ⊃ ~A), Sosa suggests that it is invalid for counterfactuals, which is why sensitivity and safety are not equivalent.
To the objection based on the well-known Aristotelian principle according to which "all that moves, is moved by something else," Henry replies that while this principle is valid for the material faculties, it cannot be applied in the same way to the spiritual faculties, since the latter possess a higher degree of perfection.
Section 30(1) of the 1988 Act provides that the fair dealing exception is valid if the material is being copied for criticism or review.
