Sentence examples for matrices around the from inspiring English sources

where R y (θ y ) and R x (θ x ) are rotation matrices around the y-axis and x-axis.

where R y, R z are the rotation matrices around the y- and the z-axis, respectively: R y = cos 0 sin 0 1 0 - sin 0 cos R z = cos - sin 0 sin cos 0 0 0 1 (7).

To show the advantage of the introduced prototype window design method in comparison with the direct switching, we define two matrices around the time index for the above example based on the and definitions in (50), (51), and the graphical representation in Figure 7 as (67).

Using this method we get the window matrices around, where the window matrix is attained through replacing the blocks in Figure 7 with the corresponding prototype windows (see Figure 8).

Changes in flexibility of the protein matrix around the chromophore were monitored by the intrinsic phosphorescence lifetime (τ0).

It takes into account an interphase corresponding to a perturbed region of the polymer matrix around the nanoparticles.

The result indicated that there was an inhomogeneous distribution of lattice strain in the matrix around the coherent particles.

The debonding and plastic void deformation of the PLA matrix around the BBH are responsible for the enhanced toughness.

In the design of advanced composite materials containing particles, one important problem is the magnitude of stress concentration in the matrix around the reinforcing particles.

The failure mode of the composite was supposed to be the deformation and destruction of POM matrix around the interfacial layer under load.

The distinctive feature of construction of this composite is such that the carbon nanostructures (CNS) are dispersed in the matrix around the continuous microscale fiber to modify microfiber-matrix interfacial adhesion.