Sentence examples for matrix and where from inspiring English sources

where is a symmetric matrix, and where (2.6). is lower triangular, and it is invertible, if for.

Furthermore, we assume that the control inputs are injected directly into separate compartments so that and in (4.14) are such that is a positive diagonal matrix and, where,, is a known positive diagonal matrix function.

"Uh, okay, let me elide it with abstracting it one level, so, um, to the extent that there are contradictions I am much more aware of them than people whose"–short pause–"views fit into a very standard matrix and where they have a lot of other people agree with them, and where there may be a lot of contradictions that run through everybody in society but that are hidden for that reason".

For example, gene knockout is a powerful tool, but may not remove a phenotype if only part of the complement of a gene family is removed, e.g. McGwire et. al. [34] noted that the knockout of a single GP63 gene in Leishmania did not completely attenuate the parasite migration through the extracellular matrix and where removal of seven GP63 genes was required to reduce infectivity of L. major [35].

Next, we consider the matrices and, where 0 is an L-dimensional column vector with zero entries.

The precoding to be used in the dual-codebook approach is obtained via multiplication of two precoding matrices and, where is block diagonal matrix matching the spatial covariance matrix of dual-polarized antenna setup, and is the antenna selection and cophasing matrix.

Indeed Figure 9 shows that the slowest of our runs are on two star-shaped trees, where we need to multiply two n × n matrices and where the time-complexity of the matrix multiplication algorithm is most important.

Calculate the eigendecomposition of this matrix: with and, where, and are, respectively, the eigenvalue and the corresponding eigenvector.

The book is well written and has many charts to support her Matrix concept and where she sees today's major retailers rank with special attention on mass merchants.

As to the upper bound analysis, let us consider the th stage of the recursion and express the quantized matrices as and, where and denote the quantization errors on the corresponding matrix entries.

The new model considers a two-phase polymer (matrix and inclusions), where the bulk sample is partitioned in small elementary cubes.