Sentence examples for instead of matrices from inspiring English sources

The second fundamental result analyzes the consequences of rationality and common belief/knowledge of rationality in extensive games (i.e., trees instead of matrices).

This achievement is due to two main reasons: (1) the superiority of DistVect1 in using vectors instead of matrices, leading to a better caching, and (2) the optimal use of multicore cluster system because of the proposed partitioning and scheduling techniques, especially when the length of sequences increases, thus obtaining a higher parallelization factor.

Especially, the criteria for controller design can be expressed by inequalities instead of matrix inequalities; thus the proposed controllers can be easily constructed without relying on any numerical toolbox.

Also, the damaged formation due to drilling and production process is not recommended to be stimulated with hydraulic fracturing instead of matrix acidizing.

The problem is that trying to keep bounded off-diagonal terms in the linear parts of the maps places strong restrictions on the maps l n, even if we use lower-triangular matrices instead of diagonal matrices.

For the example in Figure 5, this would involve inverting a matrix of order M0 + M1 = 20 instead of two matrices of order 4 and two matrices of order 2, as it would have been the case if the two MS were correctly aligned to form double Alamouti pairs on the overlapping subcarriers, and simple Alamouti pairs on the remaining subcarriers.

Quantized insensitive consensus control laws are implementable with quantized values of the relative states by using incidence matrix instead of adjacency matrix.

In particular, we use correlation matrix instead of covariance matrix to whiten the data.

Unlike the lower approximation, we will consider now the notion of similarity matrix instead of dissimilarity matrix.

IT6 and IT7 were adapted from the protocol described above but used the PHD-C7C and PHD12 libraries, respectively, on sonicated matrix homogenates instead of intact matrix.

By using thermoplastics instead of thermoset matrices, processing times and therefore component costs have already been reduced significantly and thus have become affordable in large-scale application.