We introduce the covariant
(first fundamental form) metric tensor of the midsurface in the initial and deformed configurations, respectively, as
Theorem 35 sets up covariant
identities for generalized functionals of Z.
Our first step towards a covariant
canonical quantization begins with defining a quantized space-time and its quanta.
Similarly, a contravariant consistent PC matrix [mathematical expression not reproducible] generates a covariant
consistent PC matrix [mathematical expression not reproducible] setting
Let [[nabla].sup.S] denote the covariant
derivative (Levi-Civita connection) on S, induced by the mass-metric of [F.sub.n](E) restricted to S, i.e.
Result of ANCOVAs on the group effect over the scores in Stroop, MCST and FAS tests setting estimated QI as covariant
Test Variable F p Stroop Execution time for board 4.48 0.039 MCST No.
The corresponding Euler-Lagrange's equation and energy - momentum tensors are found on the basis of the covariant
Let us remark that the class of almost complex and almost product connections in vector bundles endowed with such endomorphisms are discussed also in  but our study follows a different path: we unify the treatment of these geometries and in this way we firstly determine the mean covariant
derivative from an arbitrary pair ([nabla], [[nabla].sup.[lambda]]) and secondly we derive the set C([lambda]).
For clearer, the interval estimations of the scale parameter [eta] and MTBF under each working condition covariant
level are shown in Figures 1 and 2.
where i = [square root of -1] is the imaginary unit, m [greater than or equal to] 0 is the rest mass, [PHI] = [PHI](x, t) = ([[phi].sub.1](x, t), [[phi].sub.2](x, t))([dagger]), ([dagger]) is the transpose, [[phi].sub.1] and [[phi].sub.2] are complex-valued functions, [bar.[PHI]] := [[PHI].sup.*][[gamma].sup.0] represents the adjoint spinor, the superscript * denotes the conjugate transpose, [L.sub.1] [[PHI]] stands for the self-interaction Lagrangian, [[partial derivative].sub.[mu]] represents the covariant
derivative ([[partial derivative].sub.0] = [[partial derivative].sub.t], [[partial derivative].sub.1] = [[partial derivative].sub.x]), and [[gamma].sup.[mu]] denotes the Dirac matrices ([mu] = 0,1); that is,
where [U.sup.t] is the time component of the relativistic four velocity and [U.sub.i] are the covariant
Because blinking could affect the free-view task more, blinking time was used as a covariant
in the covariant
analysis to compare the means.