We also define the covariant
components of the curvature tensor (second fundamental form) of the midsurface as
A successful covariant
canonical quantization of the gravitational field has been presented in which we find that gravity is akin to a thermal flow of space-time and that space-time can also be described in terms of a reciprocal lattice.
For convenience, we use the term covariant
PC matrix (resp., contravariant PC matrix) when covariant
consistency (resp., contravariant consistency) is naturally required.
1 Conjugate covariant
derivatives for [epsilon]-endomorphisms
There are obvious distinctions in the length and location of the interval estimation of the scale parameter and MTBF under different working condition covariant
In order to construct the NLD model and keep its Lorentz invariance, the nonlinear self-interaction term can be built up in the Dirac Lagrangian function by using the bilinear covariants
We note that, in early applications of this approach, the source for the shift vector contained a spurious term due to an incorrect transformation between contravariant and covariant
forms of the momentum density as was pointed out in [34, 52].
Results of the free-view task (mean [sd]) Depressive disorder group Control group (n=60) (n=60) Fixation (times) 25.8(4.0) 27.0(3.6) Saccade (ms) 25.0(4.55) 26.3(3.6) Saccade amplitude ([degrees]) 5.1(1.0) 5.0(1.0) Mean fixation duration(ms) 322.2(67.8) 308.4(50.8) Saccade path ([degrees]) 127.1(33.9) 132.1(28.1) F value p value Fixation (times) 3.41 0.068 Saccade (ms) 3.97 0.049 (*) Saccade amplitude ([degrees]) 0.14 0.708 Mean fixation duration(ms) 5.98 0.016 (*) Saccade path ([degrees]) 1.30 0.256 Annotation: Covariance analysis was employed with blinking times as the covariant
In comparison with the control group, (*) p < 0.05, (**) p < 0.01
where K is a (0,2) covariant
constant ([bar.[nabla]]K = 0) symmetric tensor field.
To regain the local symmetry, the field theory replaces the usual derivatives with covariant
derivatives by adding a gauge term.
By using a simple model composed of nematic order and bending rigidity in covariant
form, we are able to determine that a second-order like transition may guide the buckling of the membrane depending on the ratio of the parameters involved.