where Φ2 and Φ are as already defined, γ j contains all non-zero elements of β j and likely to also contain some zeros in the positions of variables that appear in only one of the two equations, and j = 1, 2.
As already defined in the previous section, a homomorphic cryptosystem allows to carry out some basic algebraic operations on encrypted data by translating them into corresponding operations in the plaintext domain.
As already defined in the previous section, 〈 P2(cos β)〉 takes a range of values from a minimum of 0 (isotropic) to a maximum of 1.0 (perfect orientation).
However, were the term to be defined, the term "transaction" should include a "transfer" as already defined in § 1(16) and "obligation" which itself is not defined but instead must be understood in its ordinary sense.
Since matrices Φ jk a, Φ jk av, Φ jk va, and Φ jk v, and vector μ jk a, have been pre-computed in the training stage, the computation in (7) for a sequence of length T-frames, takes on the order of M N2T operations [48], where, as already defined, N is the number of states of the AV-HMM, and M is the number of mixtures.
If necessary, quantitative cultures of tracheobronchial secretions or bronchoalveolar lavage were performed and interpreted as already defined [ 12].
Although lacking a ventral or axial muscle bulb as found in most annelids, the pharynx is still the most prominent muscular structure in the body, showing five sphincter muscles as already defined by Rieger [ 8] in addition to the longitudinal body and gut musculature.
This contrasts with their having more organ failure as already defined: cases with abnormal serum troponin I levels had a mean of 2.0 organ systems fail during their stay in ICU/HDU, compared with 1.5 organ systems in the normal troponin I group.
