Sentence examples for matrices and number from inspiring English sources

The task becomes intractable for larger matrices and number of updates (e.g. a 6x6 matrix with 36 updates) and further preprocessing and simplification on the obligation is required before the task eventually falls within the reach of state-of-art theorem provers.

The reconstruction time for the bSSFP data was approximately twice as long as that of the GRE data, since the speed of reconstruction is largely dependent on the size of the matrix and number of time frames (recall that the number of time frames of GRE data was half of that of bSSFP data).

T1 mapping was performed by acquiring three three-dimensional fast low-angle shot volumes with excitation flip angles 5°, 15°, 25°; repetition time = 30 msec and echo time = 5 msec; and same field of view, matrix, and number of slices as the True Fast Imaging with Steady-state Precession.

Different matrix transformation methods build different dissimilarity matrices, and the number of representative conformers became different depending on them.

The new basis exhibits a numerical efficiency significantly superior, in terms of the conditioning of coefficient matrices and the number of iterations to convergence for the conjugate gradient solver, to the commonly-used Jacobi polynomial-based expansion basis.

The largest differences between the matrices were that the fraction of trips without transfer decreased with flat matrices, and the number of vehicles needed varied, usually being higher than with the default matrix.

Our results reveal that the four methods generally exhibit good performance scaling with increasing matrix size and number of cores.

Evaluation results show that regularization matrix L and number of iterations j are very important influence factors to identification accuracy and noise immunity of M-PCG.

A combination of matrix size and number of statements defined the overall span levels of complexity.

16 The main acquisition parameters are as follows: field of view 42×42 cm, acquisition matrix 256×160 and number of excitations equal to one.

We consider out forest and in forest structures in this graph and establish important relationships among the forest structures of a directed graph, the spectral properties of the Laplacian matrices, and the numbers of local optima of the landscape.