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Then (2) can be represented in matrix form as (3).
Table Y can be represented in matrix terms as follows, where ( varepsilon^{Y} ) means excess liabilities.
Consequently, this K-dimensional detection vector y can be represented in matrix and vector forms y = RAb + n, (8).
Then (2) can be represented in matrix form as begin{array}{*{20}l} mathbf{X}(t)= mathbf{AS}(t)+ mathbf{N}(t), end{array} (4).
The received signals in (6) can be represented in matrix form as begin{array}rcl@ {boldsymbol Y} = sqrt{frac{rho}{N_{t}}}{boldsymbol C}otimes{boldsymbol {I}}_{N_{r}}{boldsymbol {H}} +{boldsymbol Z}, end{array} (8).
Fixing the OFDM block index m, the DFT applied received signal samples can be represented in matrix form as {tilde{mathbf{y}}} =mathbf{C} epsilon) mathbf{X} mathbf{F} left lbrack begin{array}{c} h[!0] vdots h[!N-1] end{array} right rbrack + left lbrack begin{array}{c} Z[!0] vdots Z[!N-1] end{array} right rbrack,,, (8).
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The normalized matrix thus obtained is represented in matrix N as given below.
To mathematically model the vibrations of FG-GPLRC plates, the displacement field, strain tensor and constitutive relations as well as the energy functional of system including strain and kinetic energies and external work are represented in matrix forms as a function of the displacement components.
CRAHN can be represented in a matrix that is called the network matrix (NM).
When β is represented in the matrix form, it is a positive matrix, as each of its βij values are sampled from a lognormal distribution [ 59].
Based on this definition, the discretized form of the equations of motion and the related boundary conditions can be represented in the matrix form as:Equations of motion, Eqs.
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