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In addition, any of the following conditions ensures that the mixed duopoly will be socially preferred to a private duopoly: (iii) socially harmful advertising, combined with a positive quality differential (region A) or (iv) socially beneficial advertising, combined with a low quality differential (region C).
For the private duopoly to be socially preferred to a mixed duopoly we require either (i) the combination of socially harmful advertising (k 1) and a negative quality differential (region D) or (ii) the combination of socially beneficial advertising (k 1) and a positive quality differential (region B).
For sad emotion, the differential region for the total TAS-20 score was the dorsal anterior cingulate gyrus (BA 24); for TAS-20 F1, the left inferior anterior insula; for TAS-20 F2, the right PCC (BA 31); and for TAS-20 F3, the right orbital gyrus (BA 10).
When dS falls into A ( O 2 ) as shown in Figure 2(a), r satisfies d - R ≤ r ≤ d - αR or d + αR ≤ r ≤ d - R. With the definition of the quasi-UDG model, every differential region rdrdθ of dS has a corresponding probability p l to communicate with O2.
Further, we have investigated the effect of these defects on the various electronic transport properties of the device and compared them with those of the original device along with reporting the negative differential region window and the peak-to-valley ratio in different cases.
For each differential region the Ensembl database was used to identify the closest gene (Additional file 3).
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Differential regions of total alexithymia severity for happy emotion were the globus pallidus externus; for identifying feelings (TAS-20 F1 subscale), the right anterior insula; for description of feelings (F2), the right dorsal mid-anterior cingulate gyrus (BA 24); and for externally oriented cognitive style (F3), the left paracingulate gyrus (BA 32).
By monitoring astrocytes following acute cortical injury, a recent study identified a differential region-specific remodelling of the astrocytic mitochondrial network in response to inflammation triggered by acute injury.
Furthermore, 16,452 (49% of 33,205) of the differential regions were cell-type specific.
Therefore, we concluded that these differential regions were expected to play important roles in maize adaptation.
Thus, our work suggests a testable hypothesis that important regulatory elements reside in these differential regions.
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