According to Theorem 3.2, there exists an invertible matrix H, such that J=H^{-1}hat{E}^{d}hat{A}H= operatorname{diag}(J_{1}, J_{2}, ldots, J_{r}, mathbf{0}), (24) where (J_{i}), is a Jordan canonical form, (1leq i leq r), and 0 is a zero matrix with corresponding dimension.
Then there exists an invertible matrix H such that H^{-1}hat{E}^{d}hat{A}H=operatorname{diag}(J_{1},J_{2}, ldots, J_{r},mathbf{0}), (21) where (J_{i}, 1leq i leq r), are Jordan canonical forms and 0 is a zero matrix with corresponding dimension.
Correlations of the long version scales with the corresponding dimensions of the EORTC-QLQ C30 and the EORTC-BLM30 were significant.
The multi-chamber device is designed on the basis of a PBPK model of a 220 g rat with the corresponding dimensions of the individual chambers (W × L in mm): lung, 2 × 2; liver, 3.5 × 4.6; fat, 0.42 × 50.6; and other tissues, 0.4 × 109.
Distal humeral, innominate, proximal femoral and proximal tibial specimens from archaeological sites dating to c3000 BP and younger (Table 1; 7, 8) and corresponding dimensions from Liang Bua 1 [11] were compared with two small-bodied reference samples.
I.e., for each position, we reserved 20 dimensions (one for each amino acid type) and encoded the amino acid type with a 1 in the corresponding dimension and 0 elsewhere.
Most items are highly loaded at the corresponding dimension.
Each item from its corresponding dimension will then be converted to an average score for that dimension.
All a priori selected questionnaire scales correlated significantly with the corresponding STIPO dimensions.
Each experiment comprised 128* and 2048* complex data points in the indirect N and direct H dimensions, respectively, with corresponding acquisition times of 62 and 229 ms and sweep widths of 24 and 10.5 ppm centered at 119 and 4.9 ppm, respectively.
