Sentence examples for case of transformations from inspiring English sources

This is shown for the topological entropy of an exact C∗-algebra A and for the dynamical entropy of an AFD von Neumann algebra A. These have applications to the case of transformations on Lebesgue spaces.

For the case of transformations resembling α to β in Ti, but where lattice invariant deformation is suppressed, the two models agree when the interplanar spacings of the terraces in the two crystals are the same.

The observer performance is illustrated by various examples in marine control, including a case of transformation into the predefined structure.

The isothermal hot-pressing data compare favorably with existing models of powder densification, and these models are successfully adapted to the case of transformation-mismatch plasticity during thermal cycling.

Applied survival analysis resorts entirely to the Cox model which is a particular case of transformation models.

In the case of transformation to a beta cell phenotype, direct reprogramming is also important from a practical point of view.

In the case of transformation, imported DNA may be used as a food source [ 27] or imported sequences from another member of the population may be used as template for gene repair and homologous recombination [ 28].

In case of transformation of Allium cepa, pieces were cut from onion bulb epidermis under sterile conditions and placed on 6 cm Petri dishes containing half-strength MURASHIGE and SKOOG salts with vitamins (DUCHEFA), 0.1% MES, 1% (w/v) sucrose and 1.5% (w/v) agar-agar (ROTH).

In the case of nonlinear transformations, the transformed model equations can be deduced following the same procedure.

We prove that an invariant and selective signature can be computed for each image or image patch: the invariance can be exact in the case of group transformations and approximate under non-group transformations.

The problem of transformation is formally expressed and four special cases of transformation are considered.