Sentence examples for matrix which relates from inspiring English sources

The dynamic condensation matrix, which relates the displacements on kept and deleted degrees of freedom, is defined in state space.

The dynamics is governed by the eigenvalues and eigenvectors of a transfer matrix, which relates the deflexion of any beam span to the deflexions of its neighbours.

An additional tool that can be useful in the risk assessment of a facility is the consequence matrix, which relates the probability of adversary attack, consequence of loss of the asset, and the threat spectrum.

The boundary conditions for responses and loads at both ends of the freely vibrating sandwich beam are then imposed to formulate the dynamic stiffness matrix, which relates harmonically varying loads to harmonically varying responses at the ends.

Using the Frobenius method of series solution and imposing boundary conditions, the dynamic stiffness matrix, which relates amplitudes of harmonically varying forces with the amplitudes of harmonically varying displacements at the ends of the element, is formulated.

Each layer is represented by a two-by-two traveling pressure wave transfer matrix which relates the forward and reverse pressure waves on one side of the layer to the pressure waves on the opposite face, where each face is assumed to be in contact with a domain of arbitrary reference acoustic impedance.

where Q L,i and Q R,i for i=1,2 are the unitary matrices which relate to QL and QR decompositions for the dependent channel coefficients.

According to Fig. 3b, matrices (left[ {S^ right]_{text{r}}) and (left[ {S^ right]_{text{w}}) have 2n × 2n degrees of freedom and then these two matrices, which relate the horizontal forces to the lateral movements with non-constrained rotations, are compacted.

The base of the proposed approach is the variability matrix (VM), which relates how the loop variance of main loops is changed when the variance of the other loops are changed.

The tailing matrix, TT which relates the two datasets, is invertible but not orthogonal [77], [78].

Next, we calculate an atomic distance matrix (mathbf {A}) which relates all image pixels to their distances to all nearby atomic coordinates.