Sentence examples for matrix notation of from inspiring English sources

We may write this in the Hessian matrix notation of u as follows.

The matrix notation of the model is given as (Bas and Boyaci 2007): Open image in new window (7).

We then use the matrix notation of each stabilizing functional to build the unified form of the objective functional for the discrete model parameters (Zhdanov 2002).

In the matrix notation of our model, receiver i can decode its packet only if the action taken at that round XORs the packets intended to receivers indexed by the support of column i of S, together with its own intended packet.

Note that the parameters of the multivariate normal distribution in step 2 come from the matrix notation of the mixed model described above, where X is the design matrix of the fixed effects and V is the block-diagonal total variance-covariance matrix with diagonal elements equal to and off-diagonal elements equal to.

The system of equations, in matrix notation, of the penalized composite link model becomes (X ˘ ′ W ~ X ~ + λ D 2 T D 2 ) β = X ˘ ′ W ~ [ W ~ − 1 (y − μ ~ ) + X ˘ β ~ ], where X ˘ has elements x ˘ i k = ∑ j c i j x i k γ j / μ ~ i and can be interpreted as a "working X" in the iteratively reweighted least-squares algorithm, and W ~ = diag.

These two systems of equations are combined by using matrix notations of Carcione (2007, Section 6.4) to relate the fields at ( z = 0 ) and ( z = h ).

Furthermore, models produced by PCA, PLS, OPLS, and LDA are all similarly organized into Octave structures that all follow scalar, vector, and matrix notations of Wold et al. Thus, functions in MVAPACK are highly modular, often allowing drop-in replacement of one processing or modeling algorithm for another by a simple change of function name and arguments.

Additionally, it addresses the vector-matrix notation of the introduced model, the spatial sampling requirements for the synthetic aperture, as well as the single-transmitter and multi-receiver extension.

Using a matrix notation, the system of equations (95) can be written in terms of p11 and p22 as follows: C p 11 p 22 = A, (96).

In matrix notation, the generation of the transmit samples x=(x[ n])T with n=0,1,…,N−1 can be also expressed as x = A d, (3).