By this way, a compressible signal r f can effectively be reconstructed with measurement Ar f = y.
U f is ar f ×r f square nonsingular matrix with full k-rank, ask U =r f.
where r f ∗ is a special solution to Ar f = y, which can be calculated as r f ∗ = A T ( AA T ) − 1. V r is an N × (N − M) matrix and ξ is a N − M× 1 vector.
(2) r f ≥2It is of interest that Equation (34) is a standard slice matrix formulation of PARAFAC model when r f ≥2, of which three mode matrices are F ϕ, f M, A θ, f and U f. Recall that the uniqueness condition of PARAFAC model is [11, 25, 29 31] k F ϕ, f M + k A θ, f + k U f ≥ 2 r f + 2 (35) U f is ar f ×r f square nonsingular matrix with full k-rank, ask U =r f.
The primers used were as follows: YKL40 forward (f), 5′-cccaacctgaagactctcttg-3′ and YKL40 reverse (r), 5′-ccaagatagcctccaacacc-3′; AR (f), 5′-ctggacacgacaacaaccag-3′ and AR (r), 5′-cagatcaggggcgaagtaga-3′ and RPL32 (f), 5′-gcaacaaatcttactgtgccga-3′ and RPL32 (r), 5′-gcattggggttggtgactct-3′.
A significant interaction of group and sex was found for Ar, F (4, 43) = 6.398, p < .001, such that male breeders had significantly higher Ar mRNA levels than the subordinates, p = .002, 1-day males, p = .001, and 1-month males, p = .001, although they did not significantly differ from the 1-week males, p = .354.354
For these samples, a Perkin Elmer ELAN DRC II quadrupole spectrometer was used coupled to a Lambda Physik COMPex 110 193 nm Ar-F excimer laser.
The latter, prepared as polished samples embedded in epoxy, was analyzed with a Thermo Scientific Element 2 double-focusing magnetic-sector spectrometer coupled to a Resonetics Resolution 193 nm Ar-F excimer laser; data were acquired along 1.5 mm-long profiles and average compositions calculated.
CB, AR-F, AC-M, DL, FM and JCD collected the clinical isolates.
d MRI. e AR. f US. Figure 16a f indicate the variance of the rounding error in each frequency band for fMRI(I), CT, fMRI II), MRI, AR, and US data respectively.
