where R ̂ is the estimated cross-spectral data matrix and d the theoretical steering vectors built using Equations 9 and 10.
The loop connecting the theoretical four vectors is clockwise in the order of N, E, S, and W in the case of hard rigidity spectrum (γ = 0 and pu > 100 GV), but in the case of the soft spectrum it is anticlockwise.
Intuitively, it seems likely that infection from a randomly chosen individual will be less transmissible than an individual chosen in accordance with a theoretical eigen-vector.
The rigorous coupled-wave analysis (RCWA) technique was employed for theoretical calculation of vector diffraction.
For the following theoretical derivation, a vector space should be defined as {boldsymbol{Z}}_i=left[begin{array}{c}hfill {boldsymbol{z}}_{i,1}hfill hfill vdots hfill hfill {boldsymbol{z}}_{i,j}hfill hfill vdots hfill hfill {boldsymbol{z}}_{i,q}hfill end{array}right]={boldsymbol{W}}_i, (9 where each vector z i,j is a row vector of Z i.
Based on our theoretical translation with Vector NTI, we postulated that the 75-aa truncation in mouse could be derived from the removal of exon 2, which leads to a frame shift and an alternative translational initiation site (Fig. 1A).
A theoretical isotopic abundance vector V = { v1, v2, v3, v4, v5, v6} is generated by emass algorithm [ 24] based on the sequence of the peptide p. Then a matrix X is constructed, where each row indicates the theoretical isotopic abundance contributed by O, O1, and O2, respectively, for an ion in the isotope cluster.
The theoretical background of support vector machine regression has been described in detail by Drucker et al [15].
This approach to conformal symmetry leads to the best path to exploit the physical symmetry in contrast to approaches based on group theoretical treatment of state vector spaces.
Now, higher-order vector FEM theoretical foundations are well established and the algorithm is well used for oil field (Chen et al. 2011; Ma et al. 2012; Li et al. 2012).
