Sentence examples for matrices have all from inspiring English sources

Since our variance-covariance matrices (indeed correlation matrices) have all diagonal elements equal to 1, we can incorporate λ into the matrix using this simple calculation: (8) Σ λ = λ Σ + (1 − λ ) I where I is the identity matrix.

Motivated with a problem in spectroscopy, Sloane and Harwit conjectured in 1976 what is the minimal Frobenius norm of the inverse of a matrix having all entries from the interval [0,1].

This matrix, having all its entries = 1, has 0 determinant.

(resp., ) denotes the matrix having all its elements equal to 0 (resp., 1).

which gets its minimum value when the covariance matrix has all its elements set up to one.

Note in this respect that the identity matrix has all its eigenvalues equal to one and, therefore, its measure of intergenerational mobility is equal to zero.

If is odd, then the difference matrix has all entries of the second row equal to 0. In the other case ( is even), all the columns of are equal.

However, by definition, the Laplacian matrix has all positive eigenvalues but one zero eigenvalue.

The centering procedure involves transforming each entry of this matrix by subtraction of the row and column means of this entry and addition of the overall matrix mean, leading to a transformed matrix having all row sums and all column sums equal to zero.

Although various nanofibrous matrices have been applied to almost all the areas of TE, in this chapter we will focus on nanofiber composites scaffolds for vascular TE.

Then, the second best one is picked, and the process is repeated until all the matrices have been analyzed.