Sentence examples for transformation equation from inspiring English sources

Applying the above transformation, equation (7) transforms to the nonlinear ODE − ν F F ‴ + ν F ′ F ‴ + 4 ν F 3 F ′ + 4 F F ‴ − 4 F ′ F ″ − 16 F 3 F ′ = 0, (9).

By applying a transformation equation, a complex half-band WDF suitable for the realization of the discrete Hilbert transformer with a minimum number of multiplier is obtained.

An indeterminacy-ratio and geometric-mean-based transformation equation is subsequently put forward to convert normalized acceptable interval multiplicative weights into an acceptable IMCM with consistency.

The Gauss iteration method has been adopted to solve the Kirchhoff's transformation equation of nonlinear heat conduction of fuel rod, a temperature dependent conducting has been considered.

Finally, numerical calculations using the suggested transformation equation are conducted to verify its capability through a comparison with the compressive experimental results.

It was found that the CPTU Su transformation and its uncertainty is site or region-dependent, and the "local" transformation equation from one site may not be applicable to another site, both in terms of the mean trend (which is well known) as well as the coefficient of variation (c.o.v).

The transformation equations for such a rotation are given by x = x′ cos ϕ − y′ sin ϕ and y = x′ sin ϕ + y′ cos ϕ.

The modification of the transformation equations merely involves substituting the product nvσi in place of λi for any step involving neutron capture rather than radioactive decay.

The exact transformation equations between the new relative orbit elements and classical-orbital elements are derived.

The transformation equations for such a rotation are given by x = x′ cos ϕ − y′ sin ϕ and y = x′ sin ϕ + y′ cos ϕ.

The transformation equations are described and the functionality of the devices is numerically confirmed by two-dimensional finite element simulations.