Sentence examples for by deriving the analytic from inspiring English sources

This paper is devoted to filling this critical gap by deriving the analytic expression of the SOC estimation error under sensing noises.

By equalizing the difference distances obtained by these vectors, we can derive the analytic values of ϕ j.

The proposed method derives the analytic expressions for delay and the bandwidth using 2-π equivalent circuit.

Then the following block matrix lemma is utilized to derive the analytic solution.

In order to derive the analytic expression of the scattering intensity for the fat Cantor fractal, we start by writing the recurrence relation of the grating transmittance for an arbitrarily iteration corresponding to 1D case.

For example, we derive the analytic expressions of the map expansions in one synthetic population with L founder strains.

Then, we derive the exact analytic expressions for Kerr and Faraday rotations.

Two standard analytic methods in deriving the confidence interval were used.

The analytic hierarchy process also develops a linear additive model, but, in its standard format, uses procedures for deriving the weights and the scores achieved by alternatives, which are based, respectively, on pair wise comparisons between criteria and between options.

By integrating human-vehicle-roadway interaction, the formulas for computing the SD on a 3-d curve are derived the first time on an analytic framework.

By considering human-vehicle-roadway interaction, the formulas for computing the SD on a 3-d curve are derived the first time on a unified analytic framework.