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The most general set of unitary transformations generated by L d is given as the block-diagonal decomposition SU ( 2 d − 1 ) ⊕ SU ( 2 d − 1 ).
If we are interested in the joint localization properties of a function with respect to a two parameters group of unitary transformations, generated by two skew self-adjoint operators L 1 and L 2, we are led to consider the distribution ( t 1, t 2 ) ↦ 〈 ( exp t 1 L 1 ) ( exp t 2 L 2 ) f, f 〉 L 2 ( R 2 ).
The analysis involves the determination of the action of the chronometric temporal evolution, i.e., the one-parameter group of nonlinear transformations generated by the center of the maximal essentially-compact subgroup ofGon the Fourier transforms of wave functions in Minkowski space.
In the passive-vision condition, the optic flows were generated by replaying the 2D transformations generated by the corresponding active-vision trials.
In addition to the above automated tests, a comparison of genome-to-transcript transformations generated by the hgvs package and Mutalyzer's batch positionConverter tool using 110 125 genomic variants in 57 ACMG Mustt Report' genes (Green et al., 2013) showed >99.9% concordance (Supplementary data).
In contrast, luciferase activity was detected in several transformants generated by co-transformation with the plasmid pHRLucP.
Transformants generated by co-transformation with pHRLucP revealed an up to 22 (± 1 -fold induction (EuHR-8, Figure 6D).
Protein extracts of transformants generated by co-transformation with the pHRLucP or pHsp70A-GLuc plasmid were separated by standard SDS-PAGE [ 85] without using thiol reagents.
In extracts of transformants generated by co-transformation with plasmid pHRLucP the luciferase activity increased between 33- and 120-fold compared to algae that were kept at 29°C.
Extracts of transformants generated by co-transformation with the plasmid pHsp70A-GLuc showed a significant but mostly moderate luciferase activity when cultivated under standard conditions at 29°C.
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