A major consequence of this approximation is that the resulting solver can deal with any Equation Of State.
One consequence of this approximation is that the formulas in (30) and (37) (for the bias), and (33) and (38) (for the MSE) do not properly capture the effect of the denominator in Equation (22), which is relevant for the performance of the ML estimator τ ̂ ML in the low SNR region.
In this contribution two beam elements (Euler Bernoulli kinematics, Timoshenko kinematics) are utilized to emphasize the consequences of the approximation errors by an analytical computation of the error terms.
However, as a consequence of the approximation introduced in the model formulation (where the fiber composite is modeled as a layered composite) the analytical model could significantly underpredict the composite material properties in the transverse direction (especially the dielectric properties, κ11 and κ22) for some ("matrix-dominant") composite material systems.
The validity of (3.14) for u ∈ V is a consequence of the approximation argument.
where (39c) follows from the Taylor series of the sinc function up to the second order, and (39e) is a consequence of the approximation (mathbb {E}[Delta theta ^{2}] = frac {Delta theta _{text {max}}^{2}}{12} approx textrm {CRB}_{theta }).
As a consequence of the approximation (single, self-connected SCs representing a recurrently connected SC population), the threshold values for hyper-excitability are higher than the ones found for the two recurrently connected SCs.
Therefore, and despite the merging of the lower limbs giving the name to the sirenomelia condition, it might be secondary, and occur as a consequence of the approximation of the limb fields.
As a consequence of the approximation between the XynA and XBP domains, the MD simulations suggested such an interface was created in both chimeras, and this offers an explanation for the observed activity modulation by xylose.
Compared to the direct solution the median and maximum relative error increases, which is a consequence of the approximations (11) and (12).
