For example, the
scalar perturbations at the linear level reveal that F(T, [THETA]) cosmology can be free of ghosts and instabilities for a wide class of ansatzes and model parameters [13,14].
Moreover, it is known--as a consequence of more general results in [14] and following previous results for the
scalar field--that, for the Dirac field in globally hyperbolic space-time with compact spatial sections, all pure Fock Hadamard states lead to unitarily equivalent quantizations.
When a
scalar IM is used, if ln(EDP|IM) is assumed to have a Gaussian distribution, then the estimated conditional probability of exceeding an EDP level edp given IM = im is computed as [2]
Then, for a
scalar type spectral operator A in a complex Banach space (X, [parallel]*[parallel]), equalities (18) are true; the
scalar type spectral operators T (t[absolute value of A]), t > 0, are understood in the sense of the Borel operational calculus and the function T(*) defined by (17) is replaceable with any nonnegative, continuous, and increasing on [0, [infinity]) function F(*) satisfying condition (20).
Figure 4 plots the theoretical SNR using (15) of the forward adaptive
scalar compandor in the assumed variance range, for L = 32 levels log-uniform quantizer used for variance quantization and different number of quantization levels N for the adaptive quantizer.
The above integral equation is equivalent to the summation of CSB vector and
scalar potentials:
The Gram determinant [2] (composed from pairwise
scalar products of the current and voltage IV vectors) equals to square of the vectorial IP (8)
The Report describes a series of mechanical characterization tests that apply to both feet and pylons, of which 10 tests generate
scalar values to check against thresholds and 3 tests require observation of the components' behavior during evaluation to confirm whether the component passes or fails to achieve a certain motion.