Sentence examples for be rewritten in vector from inspiring English sources

After some calculations, we showed that the method is a linear and implicit technique which may be rewritten in vector form through the multiplication by a real square matrix that, under suitable conditions on the parameters of the analytical and computational models, turns out to be an M-matrix.

If we sample s1 t) and s2 t) at multiples of T s = T/NQ, where Q is the oversampling factor, then we will obtain the discrete-time version of Equation 5 which, taking into account Equation 4, can be rewritten in vector notation as (6).

Using this approximation, the update equation in Eq. (5) can be rewritten in vector notations as w n = w n − 1 + μ n Σ − 1 n b n e M − 1 n (8) e M − 1 n = d n − w T n − 1 b n, (9).

At each iteration t, the algorithm includes evidence from neighbors at path length= t. (1) (2) (3) (4) The MSNet score can be rewritten in vector notation using the weighted adjacency matrix U N × N and MS protein probability vector O N ×1 to generate score vector Y N ×1 (Equation 2).

because the resulting system of equations (7). is linear in the unknowns x, y, and, and thus can be rewritten in vector-matrix form as (8).

The related fundamental analytical solution is rewritten in vector form to facilitate the determination of the high number of arbitrary constants on which the general solution for a generic configuration of the composite beam, characterized by different regimes coexisting along the interface, depends.

The equations of classical particle swarm optimization algorithm can be rewritten in the vector form.

Similar to (6), the received signals at source S1 can also be rewritten in the vector format as Y 1 = μ S 1 + ν S 2 + n ̄ 1 (9).

To simplify notation, (1) can be rewritten in the vector form P phi_{d},f,theta)=mathbf{w}^{T}mathbf{overline{g}} phi_{d},f,theta) (2).

Equation (1) can be rewritten in a vector form as: begin{aligned} &left[mathbf{x}_{1} quad mathbf{x}_{2} cdots mathbf{x}_{m} cdots mathbf{x}_{M}right] &quad= left[mathbf{u}_{1} quad mathbf{u}_{2} cdots mathbf{u}_{n} cdots mathbf{u}_{N} right].

These equations can be rewritten in matrix and vector form as follows: Φ x ( t ) = θ ( t ), (16).