Sentence examples for be expressed in vector from inspiring English sources

We show in this manuscript that the method can be expressed in vector form using a Minkowski matrix under suitable conditions.

Hence, Eq. (3) may be expressed in vector notation as: {boldsymbol{td}} = gamma left( {{boldsymbol{hd}}} right) (4).

which can be expressed in vector form as mathbf{e} = mathbf{b - A cdot Delta mathbf{x}}, (17).

As described in [1], the input-output relationships of the nonlinear kernels can also be expressed in vector form.

Then, the received observations by the L relays can be expressed in vector form as y r = α 1 h sr x + n r (1).

For this purpose, the preprocessed loudspeaker signal can be expressed in vector notation as mathbf{x}_{text{pp}}({kappa})= left[begin{array}{c} [mathbf{0}_{M},mathbf{I}_{M}]{mathbf{x}}_{text{pp}}{ kappa-1)} sum_{ kappa-1hat{w}_{b}{(kappa)}[mathbf{0}_{M},mathbf{I}_{M}]{mathbf{x}}_{b}{(kappa)} end{array}right], (30).

The MSE minimizing condition (55) can be expressed in vector-matrix form as A ̄ b ̄ = - q ̄ (59).

These internal flow forces, due to gravity and to the curvature of the pipeline, are expressed in vector form providing generality to the formulation, which, combined with the 3D simulator, allows the analysis of a large variety of geometries.

At time instant t, the received signal is expressed in vector notation as r ̄ t = H t s ̄ t + n ̄ t (1).

Note that the algorithm is expressed in vector notation, such that each vector operation implicitly comprises at least one for loop and in terms of building blocks that operate on such vectors.

Let us assume that an OFDM system has the FFT length of N. The received signal (vec {y}) is expressed in vector form as follows [15] begin{array}{*{20}l} {vec{y}}=mathbf{H}vec{x}+vec{w}, end{array} (1).