Sentence examples for matrices with much from inspiring English sources

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However, the following theorem shows the existence of COW matrices with much higher overloading factor [51]. Theorem 4 Assume that C is an m × n COW matrix and H 2 = + 1 + 1 + 1 - 1 and V2m×(m - 1) = [v ij ] such that v i j = - 1 j < i ≤ m + 1 o t h e r w i s e (5).

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The porous FePx matrix with much better conductivity wires up the inside red-P, facilitating charge transfer processes, while the controllable amounts of red-P nanoparticles with higher specific capacity can store more Li+ ions for higher energy storage.

In [15], the parallel block inverse matrix algorithm is proposed for the symmetric banded matrix which can calculate the inverse matrix as the same accuracy as that for the direct inverse matrix calculation with much lower computation complexity.

Although the phenomena need further investigation, it was found that the crack growth could be suppressed by using a resin matrix with a much higher toughness.

In these situations, a meso-scale, or pebble- and compact-scale, solution provides a good approximation of the fuel temperature as the fission thermal energy transports out of the kernel and into the surrounding matrix with a much shorter time constant.

However, matrices can be considered with much more general types of entries than real or complex numbers.

Although disc cells often occur in isolation with much matrix around them, in degenerate discs, clusters of cells, with individual cells directly contacting their neighbours, are a common feature.

The amount of matrix material present depends on the growth conditions to which the biofilm is subjected, with much more matrix material being produced when the cells are confronted with a liquid flow as compared to static conditions (Hawser et al. 1998).

Further, the computational complexity to compute the channel inversion (13) and N QR decompositions (15) of matrices with dimensions (N_{t_{n}}times N_{r}) is much lower than the computational cost of computing N SVD transformations (19) of matrices with dimensions (phantom {dot {i}!}N_{r}times (N_{t}-N_{t_{n}})).

Furthermore, rectification of the image pair based on the affine fundamental matrix can achieve better performance with much less geometric distortion.

The alternative hypothesis is that the CD IVD, having lost its developmentally notable notochordal cell population, has assumed a fibrocartilaginous phenotype (cartilage like cells) with much more secreted matrix, and therefore the differences we have detected reflect accelerated turnover within the more fibrocartilaginous IVD NP.

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