By definition, we see that F 2 ( x 1, x 2, x 3, x 4, x 5 ) is increasing in the corresponding variables x 1, x 2, x 4, and is decreasing in the corresponding variables x 3, x 5. Therefore, we obtain x 1 ( 2 ) = F 2 ( x 0 ( 1 ), x 0 ( 2 ), x 0 ( 3 ), x 0 ( 4 ), x 0 ( 5 ) ) ?
By definition, we see that F 5 ( x 1, x 2, x 3, x 4, x 5 ) is increasing in the corresponding variables x 3, x 5, and is decreasing in the corresponding variables x 1, x 2, x 4. Therefore, we obtain.
By definition, we see that F 5 ( x 1, x 2, x 3, x 4, x 5 ) is increasing in the corresponding variables x 3, x 5, and is decreasing in the corresponding variables x 1, x 2, x 4. Therefore, we obtain By induction, we can show that the sequences { x n ( k ) } are ⪯-increasing for k ∈ I, and are ⪯-decreasing for k ∈ J. Therefore, according to (4), we can induce a quasi-ordered set ( X m, ≼ I ).
After MI treatment by TTX injection, mRNA expression of OCC1, 5- HT1B, and 5-HT2A was dramatically decreased in the corresponding ocular dominance columns to the inactivated eye.
When a predicted transcription factor is indeed responsible for the level of respiration observed in the wild-type strain on galactose or on pyruvate, the degree of respiration and the biomass yields should be decreased in the corresponding deletion mutant.
After 7 days of ligation, the SA- β-gal staining remained intense in the duct cells of post-ligated SMGs of Atg5 KO mice, but markedly decreased in the corresponding counterparts of Atg5 WT mice.
The own-subject elasticity ε ̂ 11 and the absolute change D y ̂ 11 are decreasing in μ1 corresponding to the results in the one-subject case.
Importantly, at human- or mouse species-specific Foxp3-bound sites, H3K27ac was decreased exclusively in the corresponding organism.
As a control, we performed the same analysis in Dock7 knockdown cells and observed decreased Gab1 in the corresponding Dock7 immunoprecipitate.
It is worth mentioning that with the increase in ribs diameter, there is an increase in the bond strength but decrease in the corresponding slip.
