Sentence examples for matrix is simply from inspiring English sources

The combined three-qubit process matrix is simply the tensor product of the independent χ matrices.

The determinant of a triangular matrix is simply the product of the diagonal elements.

The polarimetry can be interpreted in the usual manner because our matrix is simply a normalised covariance matrix.

Please also notice that if N=1 and L s =L, then the filter matrix is simply the identity matrix.

Consequently, a large part of the covariance matrix is simply ignored although it carries a lot of information about the unknown DOAs.

In this section, derivation of the kernel structure matrix is simply explained using decomposition of an IO table as an example.

To solve the multilayered spherical problem, the propagation matrix method is introduced with the propagation matrix being simply the exponential matrix for each layer.

These catalysts consisting of bimetallic Ni-Co alloy nanoparticles (NPs) encapsulated in N-doped carbon matrix were simply synthesized by using our previously developed MOF-templated strategy (Long et al., 2016).

As discussed above for Ikaros and the O/E factors, bioinformatic analyses cannot distinguish whether homeobox factors in addition to Lhx2 and Emx2 are involved in OR transcriptional activation, or whether the observed enrichment of additional homeobox matrices is simply due to the high similarity between matrices.

We also divide our analysis into the biggest market sectors (Basic Materials, Consumer Goods, Financial, Health Care, Industrial Goods, Services, and Technology), where sector matrices are simply sub-matrices of the full proximity matrices composed of corporations from a single sector.

Initialization of frequency matrix, W, and time matrix, H, is simply carried out by taking advantage of information of the histogram such that w kp = 1 N Grp ( d ) J ∑ j ∑ l ∈ Grp ( d ) v jkl k, l, p ∈ Grp ( d ), (8) h lp = 1 N Grp ( d ) J ∑ j ∑ k ∈ Grp ( d ) v jkl k, l, p ∈ Grp ( d ), (9).