Sentence examples for matrix hence the from inspiring English sources

Obviously, if the channel stays constant within an OFDM symbol, H c ( m, n ) [ j ] will be a circulant matrix (hence the subscript c).

On the other hand, in the second case, the receiver is retrained with the updated beamforming matrix, hence the mismatch between the quantized beamforming matrix and the channel is taken into account.

In the first case, a simple receiver is not retrained with the beamforming matrix, hence the receiver does not take the mismatch of the quantized beamforming matrix into account, and it simply uses a parallel decoder.

The good electrochemical performance of the composite anode is close related with its structure, in which Fe2O3 particles are uniformly dispersed in the spherical carbon matrix; hence the volume change and aggregation of the Fe2O3 particles during lithium ion insertion/extraction process can be effectively hindered by the carbon matrix.

And then, stability analysis is done by computing eigenvalues as well as the right and left eigenvectors of its state matrix, hence the judgment information of system stability, such as the oscillation frequency, the attenuation factor, the impact factor, and the strongly correlated state variables, can be obtained.

This is because the number of nonzero entries of the global matrix (hence the cost for sparse matrix-vector products) is greatly reduced with respect to the parabolic-elliptic formulation.

The constellation of proposed scheme consists of a set of unitary matrices, hence, the name unitary space-time modulation.

The covariance matrix is a square symmetric matrix, hence only the diagonal elements and the elements of the upper triangle have to be computed.

In 1900 Henri Poincaré introduced the idea of representing a graph by its incidence matrix, hence founding the field of algebraic topology.

Moreover, log-transformation can combine the information of a binary matrix with those of a nontransformed data matrix, hence preserving the relative abundance information and down-weighting dominant groups.

LOD and LOQ values were estimated on matrix; hence, TBPhA gave the highest value due to its higher instability.