Sentence examples for matrices with which from inspiring English sources

We introduce power Hadamard matrices, in order to study the structure of (group) generalized Hadamard matrices, Butson (generalized) Hadamard matrices and other related orthogonal matrices, with which they share certain common characteristics.

We suspected that if we could determine an optimal number, N, of simpler matrices with which to approximate the co-culture ratio matrix, then that optimal N would give us some idea of the number of functionally distinct interaction types at work and the matrices that comprise the approximation might give us some insight into the nature of those interactions.

These data were used to generate "presence/absence matrices" with which to construct heat maps with the R package.

The extracellular matrix with which the cancer interacts, the blood vessels that a successful tumor must coax out to feed itself, the nature of a host's connective-tissue cells — all of these affect the ecology of tissues and thereby the growth of cancers.

In practice, PCA results in a transformation matrix, with which the original data matrix is multiplied.

The proposed scheme begins with the LLL-LR for submatrix having half columns of channel matrix, with which the whole reduced matrix will be constructed by taking advantage of the known STBC structure.

The combination of these displacement sensitivity coefficients forms a displacement sensitivity matrix with which the relationship between the 3D deformations and the interferometric phases obtained by PS-DSPI and SC-DSPI is built.

These two processes, made computationally operational through the development of self-transition and decision effect matrices, are then combined into a joint transition matrix, with which we can model the effects of maintenance actions on bridge performance and costs.

We observed a significant cluster of gene transcripts associated with synaptic structure and function, including cell-surface adhesion proteins as well as proteins of the extracellular matrix with which they interact.

First morning urine presents clear advantages over blood and saliva as a matrix with which to evaluate long-term longitudinal variations in basal cortisol levels across women's reproductive transitions.

Thus, despite its advantages for the experimental evaluation of stress reactivity, saliva has clear limitations as a matrix with which to assess basal cortisol profiles longitudinally in natural settings.