Sentence examples for transformation the case from inspiring English sources

After a derivation of sufficient conditions to be fulfilled by such a transformation, the case of a linear homogeneous transformation is investigated in more detail.

Equation (1.3) can be derived as the family of asymptotically equivalent shallow water wave equations that emerge at quadratic order accuracy for any b ≠ 1 by an appropriate Kodama transformation; for the case b = − 1, the corresponding Kodama transformation is singular and the asymptotic ordering is violated; see [6], [7].

Silver Lake has experience in just this kind of move, pulling off a similar transformation in the case of Skype.More broadly the scheme, which must still be approved by Dell's shareholders, is just the latest example of how the centre of gravity in the technology industry has shifted away from PCs and towards mobile devices.

The transformation in the case (Petrov 2004) is direct.

Now we will extend this transformation to the case considering the mutual coupling.

Note that the boundedness of the coefficient matrices is not preserved by the Lyapunov transformation in the case of the time scales with right-dense point [13].

Later in this paper, the restriction of the star spherical coordinate transformation to the case r=1 will be denoted by S t S p h∗.

We used log10 for transformation in the case of C/N and N/P ratios as well as for C concentration.

Linear regressions were used to analyze the relationships between continuous parameters, after logarithmic transformation in the case of non normal distribution.

These data suggest that loss of diversity occurs during or shortly after transformation: in the case of slow initial growth, stochastic variability would have an increased effect because of the small number of EBV infected cells.

Comparing our phase transformation with the case of epitaxial burying described by Patriarche et al., the dislocation is of the same type, and both transformations are triggered by the interaction between two crystals with As atoms at different lateral positions.