Sentence examples for matrix implies that from inspiring English sources

Modeling the mutual coherence of measurement matrix implies that the fitness function is combinatorial and needs to be optimized using different pilot sequences.

The continuous dependence of the determinant of a matrix on the elements of the matrix implies that all the above operations produce interval entities.

For any u ∈ H 1 ( R N ), let v ( x ) = u ( x G ), x ∈ R N. The assumption that G is an N × N orthogonal matrix implies that G G T = I, where I is the N × N identity matrix.

The occurrence of extension veins that are confined to sandstone blocks and do not propagate into the surrounding matrix implies that the shale matrix was ductile, and a competence contrast existed between the sandstone blocks and the shale matrix, as described above.

The fact that Rvij is a symmetrical matrix implies that Wij is also a symmetrical matrix, logically indicating that the morphological correlation network is an undirected graph.

Hence an identity Mueller matrix implies that the component does not interact with polarized light at all, and the left-most column gives the output state for input unpolarized light.

The experiments were conducted under capillary-dominated condition, and as capillary number (Nc) was increased with greater injection rate, the increased viscous force led higher CO2 saturation in fine matrix implying that high Pc zone was more sensitive to the injection rate than the low Pc zone.

Additionally, in this case, is a symmetric positive semidefinite matrix (implying that its eigenvalues are nonnegative), and its eigenvalues can be arranged in increasing order as [14].

Previous studies investigated the effects of chemical dissolution within the matrix, implying that acidizing can etch the rock, open new conduits for flow, and increase fracture permeability after closure.

Notably, removal of the OSCP transit peptide occurs in the mitochondrial matrix, implying that export is required for the appearance of the 21 kD OSCP protein in the OMM fraction.

We first of all notice that the adjacency matrix of the -graph is the null matrix, implying that there are no two representations sharing precisely a subgroup isomorphic to, i.e. not a subgroup containing.