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Va denotes applied bias voltage for inducing the free-carrier-induced EO effect.

In fact, S and inverse compressed suffix array (inverse CSA) Ψ−1 (Grossi and Vitter, 2000) satisfy: (5) where (Ψ−1)(j ) denotes repeatedly applying the transform Ψ−1 for j times.

In (1), the two variable function f u, x) is the nonlinear spring force upward, which depends not only on the beam deflection u but also on the position x, and w(x) denotes the applied loading downward.

The thickness d2 of the lamella of the individual components after both HPT deformation steps can now assumed to be (2) d 2 = d 1 / γ 2 = d 0 / (γ 1 · γ 2 ) where γ1 denotes the applied shear strain in the first deformation step and γ2 is the applied shear strain in the second deformation step.

For each interval of we denote by By applying the monotone iterative technique, we obtain not only the existence of positive solution for the PBVP (1.1), but also give an iterative scheme, which approximates the solution.

Thus, a mathematical expression such as '22' denotes the result of applying the function 2 to the number 2 as argument, namely, the number 4. Similarly, the expression '7 + 1' denotes the result of applying the binary function + to the numbers 7 and 1 as arguments, in that order.

\(M\) is said to solve a function problem \ f A \rightarrow B\) just in case the mapping induced by its operation coincides with \(f(x)\) – i.e. if \(M x) = f(x)\) for all \(x \in A\) where \(M x)\) denotes the result of applying machine \(M\) to input \(x\), again relative to the input-output conventions for the model \(\mathfrak{M}\).

Pure cepstral coefficients of a speaker "i", denoted by, are obtained applying the mel-scaled filter banks up to 4 kHz.

Table 4 lists the mean values of the differences between the testing values (denoted as S_LPPO) by applying NMSC, SVM, NBC, and RF to LPPO and ms_hr.

No current was found between two electrodes when bias voltage was applied, denotes that nanogap is insulating.

(phi_{0}) denotes the phase applied to the quantum state at the antinodes of the phase grating [18], and (J_{n}(x)) is a Bessel function of the first kind.

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