Using either approach, the unperturbed configuration corresponds to a damped one whose damping matrix can be diagonalized by the same transformation that uncouples the undamped system, and the perturbation consists of the deviation of this diagonalizable damping matrix from the actual damping matrix.
Notably, the goxA expression differed even more strongly between strains bearing the inserted construct in different orientations but obtained by the same transformation strategy (namely, pyr4 deletion) (compare QM6a Δ tmus53 Δ pyr4/pc2G-FW and QM6a Δ tmus53 Δ pyr4/pc2G-RV in Fig. 7A).
For this, we compared all prediction rules corresponding to the same transformation t but accomplished by different enzymes, E t.
We define the aggregates by the change in fingerprint: pairs are put together in the same transformation if and only if they have the same change in fingerprint.
In his view, Mr. Maliki has undergone the same transformation.
To test for regional hypoperfusion, the PWI images were normalized to the T1-weighted template space by applying the same transformation parameters than for the T1-weighted images.
The resulting, thresholded, native space tracks were then spatially normalized by applying the same transformation matrix used to normalize the FA map in each patient.
Each participant's structural image was spatially coregistered to the mean of the functional images (Ashburner and Friston 1997) and spatially normalized by using the same transformation matrix as applied to the functional images.
One of the advantages of this software is that it enables saving the calculated transformation following the coregistration into an ASCII file that can be further used to transform other images using the same transformation parameters by means of the Transformix tool [ 34].
Hence, by using (22) and applying the same transformation technique presented in Section 3, the PDF p C (t) of the channel capacity C t) can be approximated as p C ( r ) ≈ N 2 N r ln 2 2 2 π ( 2 N r − 1 ) σ N e − 1 2 σ N 2 ( ln 2 N r − 1 γ s − μ N ) 2, r ≥ 0 (23).
Thereafter we used the same transformation by using this projection without any further discriminant analysis procedure for depiction of Neurapas® balance.
