Sentence examples for matrices since it from inspiring English sources

The Stetter Möller matrix method yields such a set of real non-symmetric commuting matrices since it reformulates the optimization problem as an eigenvalue problem.

The use of a mass spectrometer detector enables sample preparation to be minimized and also increases the sensitivity of the method in the analysis of complex sample matrices, since it can be used for either selected ion monitoring or multiple reaction monitoring to detect only the desired ions produced by the analytes.

We first notice a DFT matrix since it meets the second constraint and notably its column-reduced form constructs a transmit null at a certain direction angle ϕ relative to the array broadside (see Figure 2a), which is further expected to satisfy the first constraint using null steering from ϕ to ϕ ̂ (see Figure 2b).

In all other results shown in this paper, we have employed the Bernoulli sampling matrix since it resulted in the lowest error and due to its low storage requirements and simple construction method.

The nail bed has often been called sterile matrix, since it adds little or nothing to the nail plate.

For the Spectral curve, G W 8 is used as the precoding matrix since it outperformed the other available precoding matrix G V 8 in our simulation.

The noncontinuous collection of noise data introduces inaccuracies in the noise correlation matrix since it is estimated only in limited periods of time in the entire signal waveform.

Moreover, [J]2 is a circulant block-wise matrix since it can be written as J 2 2 = α ∗ I 2 + β ∗ P 2 = α β β α. (24).

which is an already computed matrix since it corresponds to a subset of the matrix R of size K × L obtained by QR factorization of matrix F. This algorithm will be further referenced herein as RMGS and was originally published in [23].

Actually, the number of operations could be reduced using the sparse nature of the parity check matrix since it depends on the number of edges in the bipartite graph for the code which grows with l, but overall, we estimate the encoder complexity to be similar for the two approaches.

However, the QAT was included in our matrix since it is very frequently used in public health.