Sentence examples for matrix of with from inspiring English sources

We assume that is the fundamental solution matrix of with.

Let be the inverse matrix of with and for all and.

Let be the inverse matrix of with and for all, Then system (3.1) is permanent.

In this case, is the Jacobian matrix of with respect to the parameters, given in [32] for a transformation with translation, rotation, and scale.

Here L = ( A − D ) ⊺ is the graph Laplacian (A is the weighted adjacency matrix of with entries A i j = α k > 0 if there is an edge from node i ( k ) to j ( k ) and zero otherwise, and D is the diagonal matrix such that entry D i i = ∑ j A i j is the out-degree of node i).

Table  3 shows the multi-trait multi-method matrix of correlations with the BCI and with the SF-36 scores.

where is an upsampled symbol vector with an upsampling factor and is an upsampling matrix of size with element.

He replaced a lithograph in his consulting room with a $12,000 fossilized snake set in a matrix of clay with irregular borders.

The lower part of this interlayer is characterized by a matrix of fines with inclusion of coarse grains in it.

The underpinnings are Jacobian matrix of FR with respect to input variables for Type I failure; and Jacobian matrix of FR with respect to noise (sources of variability) variables for Type II.

The lyrics are about a matrix of relationships — with family, lovers and reality — and more important, so is the music, all interconnections.