Sentence examples for a straightforward derivation from inspiring English sources
A straightforward derivation of the expression for the derivative of nodal locations is given, and the role of the derivative in assessing design trends is demonstrated.
Equation (6) is a straightforward derivation.
Their use, combined with a simple probe feed model, not only reduces the overall computational effort but also facilitates a straightforward derivation of port parameter sensitivities.
The cyclostationary properties of OFDM have been analyzed in [3, 4], and the formulas of CAF and SCF of OFDM signal are derived by a mathematic deduce process in [3], whereas the authors in [4] provide a straightforward derivation of CAF and SCF for OFDM signal by a matrix-based stochastic method without involving complicated theory.
A strong argument for this is that, after inspecting the proof of our Theorem above one can check that, for most of the problems mentioned, the procedure in the Appendix suggests a pretty straightforward derivation of necessary conditions at the optimum.
The dispersion equation is obtained in the form of determinant vanishing in the complex domain based on the straightforward derivation.
This simultaneous damage equivalency throughout the structure together with the straightforward derivation of the corresponding damage equivalent sea-state parameters constitutes the novelty of the presented wind-wave correlation method.
With straightforward derivation, we find that μ XX and μ XY for the time-average estimation method are given by μ XX, TA = 1 2 P 0 1 2 + 1 2 J 0 θ d + 1 2 σ W 2 (12).
In such inventories, well-developed principles of sample design support straightforward derivation of estimates and uncertainties.
After substituting from (17), applying [25, equation 3.194.3], and after some steps of straightforward derivations, we get.
Such explanations may turn out to be partial for various reasons: For example, they often do not explain all cases of the target phenomenon, the reduction base may span levels of organization, and they may fall short of straightforward derivations of the target phenomenon.
