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The three charging modes are expressed as follows.
(21)–(24), the equivalent stress ( {sigma}_{eq}^I ) and the equivalent displacement ( {X}_{eq}^I ) associated to different failure modes are expressed in Table 3.
Phase velocities for these propagation modes are expressed in terms of five elasticity constants needed to describe a general TI material, and also in terms of three constants after the application of two constraints that hold in the limit of an incompressible material.
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The sum of microgrid total costs and PHEVs charging cost in the first mode is expressed as C_{Dc1}^{M} = C_{Dc0}^{M} + sumlimits_{k = 1}^{S} {sumlimits_{t = 1}^{24} {P_{1k,t}^{text{PHEV}} } } B_{t}^{text{Grid}} (9 where ( P_{1k,t}^{text{PHEV}} ) is charging power of k th PHEV at hour t in the first mode; S is the number of PHEVs.
When the Hashin failure criteria are applied, the DV of each failure mode is expressed by the following equivalent displacement: {d}_I=frac{X_{eq}^{If}left({X}_{eq}^I-{X}_{eq}^{Ii}right)}{X_{eq}^Ileft({X}_{eq}^{If}-{X}_{eq}^{Ii}right)} left(I= Lt, Lc, Yt, Yc, Zt, Zcright).
By contrast, by evaluating the outage probability, P out, at a fixed source transmission rate, i.e. (R_{S_{0}}) (bits/s/Hz), throughput in the delay-sensitive mode is expressed as tau = left({1 - alpha} right)R_{S_{0}}left({1 - {P_{text{out}}}} right).
The mode shapes are expressed as infinite polynomial series.
The mechanism(s) of resistance found in Xen-R could be of relative importance for current and future generations of pyramided B. thuringiensis crops where multiple insecticidal components with various modes of action are expressed in the same plant [44].
Therefore, the equivalent sliding spotlight configuration can also be implemented in the pure spotlight mode as shown in Figure 2. In the figure, Lspot and Lss are the effective azimuth extension of imaged area in the spotlight mode and sliding spotlight mode, respectively, and they are expressed as follows Figure 2 Sliding spotlight acquisition geometry implementation in the spotlight mode.
The norms of the modes and of the system are expressed in terms of the modal parameters, such as natural frequencies, modal damping, and input and output gains.
The rates for reaching the two modes of IL-2Rα synthesis are expressed as their respective equilibrium plateaus multiplied by the published degradation rate of IL-2Rα (Duprez et al., 1988).
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