Sentence examples for matrix the sum from inspiring English sources

The trace of a square matrix (the sum of its main diagonal entries, or, equivalently, the sum of its eigenvalues) is denoted by.

No molybdenum content was determined in the Ti12.5HPC0 sample, and the molybdenum content ratio to the matrix (the sum of Si and Ti content) for other xerogels is shown in the Fig. 3.

Fig. 1 Luminescence spectrum of N. tabacum matrix (a); blue line synthesized contour of plant matrix (the sum of spectral components), black line experimental contour, dashed lines the spectral components of N. tabacum luminescence spectrum.

Since is Hermitian matrix, its eigenvalues are arranged in decreasing order, that is, and if is any matrix, its singular values are arranged in decreasing order, that is, The trace of a square matrix (the sum of its main diagonal entries, or, equivalently, the sum of its eigenvalues) is denoted by.

As a general property of this matrix, the sum of all matrix elements must equal the number of edges in the bipartite graph.

For computational efficiency, we calculate the sum of each row or column of adjacency matrix; the sum means the number of genes related to the gene.

Therefore, if and only if F D,i is a diagonal matrix, the sum-MSE is optimal in our proposed method.

According to the discretization of the spatial fractional coupled nonlinear Schrödinger equations, we have obtained that the coefficient matrix is the sum of a real diagonal matrix D and a complex symmetric Toeplitz matrix T̃, which is just the symmetric real Toeplitz T plus an imaginary identity matrix iI, and then established a new splitting iteration method with medium-shifting (MS).

Analog to Figure 2 we denote the partition matrices by (A = A_{P1} + A_{P2} + cdots+ A_{Pp}), where the global system matrix is the sum of all partition matrices.

The full Gemma matrix is the sum of the individual coexpression matrices.

The energy of a matrix is the sum of its singular values.