Sentence examples for using the above solution from inspiring English sources

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Using the above solution in Equation (27), the approximate value of s can be obtained as s 0 = 3 2 + M, f η η ( 0 ) ( 0 ) = − s 0. (32).

Inhomogeneous Eq. (14) satisfying the boundary condition (5) can be solved using the above solution to the homogeneous equation: or (18 1919) (20)The superposition of many transverse harmonics with different eigenfrequencies must result in oscillation amplitude modulation.

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FS cells were recorded using the above internal solution, while pyramidal cells were recorded using an internal solution with the KCl concentration raised to 15 mM and K-methylsulfate lowered to 117 mM to depolarize the reversal potential of Cl− (−52.5 mV).

This might be due to the lack of the reaction in the very narrow (50 and 75 nm) grooves of the nanolines during the selective etching process between GaAs and c-GSBT using the above etching solution.

Considering the poor stability of MMC outside the pH range 5-8 (8), using the above neutral AFP solution allowed us to obtain reproducible results even after storing the MMC solution at room temperature for periods as long as one day.

In this work we report on results obtained by using the above Pt salt solution in HF with a concentration ratio [HF]/[Pt] equal to 60 and a solution temperature of 8°.

The minimization of the total MSE using the above equation provides solutions for E k and the Lagrangian multiplier λ, subject to the energy constraint ∑ k = 1 K ∗ E k ≤ E T. Since b p k is expressed as a function of ϵ k and E k, b T = ∑ k = 1 K ∗ b p k will be determined only after energy allocation, which could be computationally expensive, when an iterative energy calculation is required.

By producing a "child" solution using the above methods of crossover and mutation, a new solution is created which typically shares many of the characteristics of its "parents".

The QD-Au hybrid was fabricated using the above QDs and Au NPs solution [12].

So, we iteratively guess its size, starting with and progressively doubling until we obtain a hitting set solution (using the above approach).

Using the above statement the following Tikhonov solution is proved: {mathbf{m}}_{text{Tikh}} = left[ {{mathbf{G}}^{text{T}} {mathbf{G}} + varepsilon^{2} {mathbf{I}}} right]^{ - 1} {mathbf{G}}^{text{T}} {mathbf{d}}.

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