Sentence examples for matrices are required from inspiring English sources

Space-fixed, total angular momentum, transition matrices are required as input.

These matrices are required to maintain the basic structure and property of their graph-theoretic counterparts.

The mass and stiffness matrices are required but they often can not be retrieved easily in the commercial softwares.

For tissue regeneration, highly open porous polymer matrices are required for high-density cell seeding, as well as sufficient nutrient and oxygen supply to the cells in the 3-D matrices.

By this way, the GAC-based forward blur models only require several FFTs and a number of pixel-wise operations, significantly reducing computational complexity, and concurrently only the basis kernels and a number of rotation matrices are required to be stored so that the problem of memory burden is also relaxed.

Note that the sparse representation and sensing matrices are required to be as incoherent as possible; the methods for optimizing the transmit waveform and the FIR filter in the sensing matrix separately and simultaneously are presented to decrease the coherence between different target responses.

Only the effect of the matrix vector product with the given matrices is required.

Further, it is demonstrated that the reconstruction of stiffness matrices is required only for those geometrical primitives that are affected by the design changes.

Furthermore, each of the test matrices is required that every of its principal submatrix is copositive (Note that for a matrix with the chance that every principal submatrix is copositive is much less).

As shown in (11), the inversion of the matrices is required and the computational complexity will be increased by employing a large number of relay nodes or number of antennas.

Actually, we chose different GS models for RRGS_HYB and RRGS_PAR for computational reasons: two G matrices were required in the model chosen for RRGS_PAR.