Sentence examples for matrices so we from inspiring English sources

Strictly speaking, the Perron–Frobenius theorem applies to finite-dimensional matrices, so we are assuming that ({mathcal{N}}) is finite.

Our spatial coordinates are organized in 2D matrices, so we define a 2D block of 16 × 16 threads tiled together into a grid with dimensions based upon the maximum number of cells and elements.

The scale martix s will not affect the result of homography matrix, so we set the smallest constant into s.

When we have the data measured, we cannot save them as a regular matrix, so we use a general set of xyz values for storing the data.

Comparing the results of with that of for each figure, we can also reconfirm that when increases, the estimation error increases on the estimated noise covariance matrix, so we obtain better results with the preprocessing for than for.

Note that (21) to (24) are based on the assumption that G is an identity matrix, so we just need to insert the SVD precoder G in (25) after Φ from (21) to (24).

(9)Notice that the system response A here is an N × 4 complex matrix; so we assume that N > 4 and ensure rank(A) = 4 to estimate four-dimensional complex vector X t [3, 5].

end{aligned} (2.14) Let (lambda_{mathrm{max}}(A)) denote the largest eigenvalue of a square matrix A. When (0<lambda< 1/lambda_{mathrm{max}}(BB^{T})), M is a symmetric and positive definite matrix, so we can define a norm |v|_{M}=sqrt{langle{v},Mvrangle} quad mbox{for all } vin mathbb{R}^{m}.

I could see the potential for absolute disaster going down a quite a sophisticated approach to the [assessment] matrix, so we used [an appraisal workshop].

(Unfortunately, the work of Kevorkian and colleagues [ 28] and that of Davidson and colleagues [ 27] in osteoarthritis did not include immunohistochemical studies of the cartilage matrix, so we do not know whether ECM localization of MMP28 was present).

However, the objective variable in our data is an (M×K -dimensional M×K -dimensionale can not apply his result since it is only for the usually Gmatrix model, thandiso they assumed the normality for noise, and he does not considered the missing values.