Sentence examples for applying the transformation from inspiring English sources

According to Brown and Sypel (1995) and Budden (1997), this approach fails to recognise the central importance of effectively isolated subsystems, the empirical significance of symmetries resting on the possibility of transforming such a subsystem (rather than applying the transformation to the entire universe).

Additionally, because the stimulus autocovariance matrix CS is already proportional to the identity matrix, applying the transformation described in equation 6 to correct for the stimulus correlations has no effect, and the transformed reverse correlation RF estimate ĝc blue arrow) is also biased.

After applying the transformation, some coefficients will be used for the classification.

The specific rounding at the foam nodes can be modelled by applying the transformation of Blinn.

For state, the state-dependent GMM (GMM ) is obtained by applying the transformation function to the state-independent GMM.

By applying the transformation σ to G, a pendent edge is cut from (v_{2}) and attached to (v_{1}).

For convenience we make the boundary conditions homogeneous by applying the transformations (3.2).

Applying the transformations to each workflow in Figure4, followed by rules (16) and (17) removes half of the possible deployment options.

The process of applying the transformations can then be done efficiently by iterating over the columns of the matrix.

The nearest neighbors of each RuBisCO were overlaid into a 3D point cloud by applying the transformations obtained from subvolume alignment.

We first select a fixed number of points { p i } ∈ P and apply the transformation T k.