Sentence examples for above transformation 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).

The JMA kinetic parameters for different temperatures and conditions of the above transformation are derived.

It is easy to show that under the above transformation conditions (H2 - H4) still hold.

After the above transformation, we order the paths and their CDF on the basis of priority.

Applying the above transformation methods, an attribute vector with zero skewness is obtained.

In the above transformation K1 and K2 are CAS and BAS public keys respectively and u, v, x and y considered as random strings.

By using the above transformations, the governing partial differential equations are transformed into a system of non-dimensional nonlinear and coupled ordinary differential equations as follows: f ‴ + f f ″ − f ′ 2 − A ( f ′ + 1 2 η f ″ ) − M 1 + m 2 ( f ′ + m g ) = 0, (10).

Using the above transformations and with the help of Eq. (4), Eqs.

But the explicit formulas for the above transformations are very complicated.

Upon substituting the above transformations into (2.1)–(2.4) we obtain the following: (2.9).

Pose estimation consists in finding the parameters of the above transformations (denoted resp.,, and ) by normalizing 3D models in order to fit into canonical poses.