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The key feature of our approach consists in using an analytical expression for the depth-distribution of the period as initial solution for direct computer calculations.
The effect of hydrophobic and structural properties of a single/dual-layer cathode gas diffusion layer on mass transport in PEM fuel cells was studied using an analytical expression.
Shear strength of the beams was calculated using an analytical expression given in literature for plain concrete beams and here extended to the case of fibrous concrete beams of hooked steel fibers on the subject, while the analytical results in terms of load deflection curves, under monotonic actions, were generated using a non-linear finite element program (DRAIN-2DX).
The estimation of the mean square error (MSE) from a noisy image is performed using an analytical expression based on Stein's unbiased risk [11].
Since dehydration mainly occurs within hydrated oceanic crusts consisting of both sediment and AOC rather than the underlying oceanic mantle (e.g., Iwamori 2007), the temperature distribution along the surface of a slab is calculated as a function of subduction velocity (V), slab age (a), and subduction angle, using an analytical expression based on that reported by England and Wilkins (2004).
Using an analytical expression, such as Eq. 2 with β and τ 0 taken from the experimental data fit to Eq. 4, it is possible to recover Φ(k) by means of inverse Laplace transform, solving the following equation: L − 1 { n ( t ) n ( 0 ) } = Φ ( k ) (8).
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A fast method for approximation of Biot Savart type integrals over the tetrahedral elements is introduced, which uses an analytical expression for the nearest few elements, Gaussian quadratures for moderately distant elements, and a multipole expansion acceleration procedure for distant elements.
The approach of Lavandier et al. (2012) is interesting, because it uses an analytical expression to calculate directly the binaural unmasking in dB, which makes it computationally efficient.
The advantage of our approach compared to such a method is the use of an analytical expression, albeit semi-empirical in nature, while retaining the accuracy associated with the MC method.
The sufficient conditions for optimality and stability are used to derive an analytical expression for the control law as a function of the battery state of charge/state of energy and system parameters.
Using a simple analytical expression, it is first shown that use of CO2 in place of water can result in a compact loop.
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