In this case, it is desirable to establish analytical formulas for calculating the maximum and minimum ranks of the matrix-valued function over the feasible matrix sets, and use the maximum and minimum ranks to characterize some algebraic properties of the matrix-valued function.
Additionally, we minimized rank disparities between the callers using hierarchy information (see " Female dominance hierarchy"), choosing the non-kin call donor with the minimum rank distance to the kin call donor (Pfefferle et al. 2014b).
The diversity order depends on the minimum rank r and according to (49) that is r=N which guarantees that the full diversity order can be achieved.
The rank criterion is to maximise the minimum rank of for any codeword and, and the eigenvalue criterion is to maximise the minimum product of the nonzero eigenvalues of.
To identify the adequate number of factors to retain, parallel analysis with minimum rank factor analysis were employed (Baglin, 2014; Lorenzo-Seva & Ferrando, 2006, 2013).
The super-orthogonal block codes in space-time domain under FNS fading channel are designed by maximising the pairwise error probability (PEP), which is done by maximising the minimum rank of the codeword sequence matrix (equivalent to the diversity order) and the minimum determinant codeword sequence matrix (equivalent to the coding gain).
In fact, it converges to a very deep minimum (rank 3), and again, the computed lattice parameters are in good agreement with the experiments (see Table 1 ).
* Advised number of factors; Real data = percentage of the variance explained in relation to the real data based on minimum rank factor analysis; Mean random = mean percentage of the variance explained by the random samples; P95 random = percentage of the variance explained over the 95 percentile of the random samples.
Several new algorithms are presented, including an iterative generalized minimum rank perturbation theory and a technique based on multiple augmentations to determine damages in linear and nonlinear parameters when there is an incomplete set of eigenvectors.
Appointments to the Military Division are restricted by the minimum rank of the individual.
