Sentence examples for matrices and this from inspiring English sources

For p = 23, at level 2 there are 3 × 24 = 72 sign changes between equivalent Hadamard matrices and this happens for 6.67% of shuffles.

Both modification procedures resulted in an increase of average pore size within the collagen matrices, and this observation may explain the more rapid invasion of mouse fibroblasts into cross-linked and heparinized matrices.

To apply PCA on the imputed data set, we first calculated an overall variance covariance matrix based on within- and between-imputation covariance matrices, and this matrix was used to fit the PCA (Li et al. 1991).

In this study, topological differences are reflected by a decrease in congruence among the sequence matrices, and this can be interpreted as noise in the data or to real incongruence.

In the BM3D algorithm, similar patches form the 3D matrix and this matrix is filtered in the transform domain with appropriately selected threshold [16].

Vegetation composition differed between heuweltjies and the matrix, and this dissimilarity was increased further by aardvark burrowing.

The scene is recovered by the Alltop sequence and random sensing matrix or optimized waveform and sensing matrix, and this process is carried out by 1,00 times.

Consequently, ISPRING can create a pathological warping path in the accumulated cost matrix and this is a shortcoming of this method.

In contrast, high-order difference schemes formulated with non-compact stencils yield a higher bandwidth of the iteration matrix, and this involves large arithmetic operations.

To reconstruct the original signals, the Kronecker algorithm must generate an M × N dimensional measurement matrix, and this requires large-scale memory space.

Individual responses were thus aggregated by computing a mean similarity matrix, and this was subjected to a classical metric MDS analysis.