Sentence examples for matrices and hence from inspiring English sources

Fibers of carbon or graphite are known to be inert with the matrices and hence possibility of composites with weaker interface always exists.

Most of finite element model updating techniques do not employ damping matrices and hence, cannot be used for accurate prediction of complex frequency response functions (FRFs).

The application of the matching method to the identification of unknown system matrices, and hence to shifting a system resonance frequency, is presented.

This is of interest since the former discretizations do not yield consistently ordered A matrices and, hence, the theory of Young cannot be used to predict the optimal value of the SOR parameter.

Most of the model updating techniques do not employ damping matrices and hence cannot be used for the accurate prediction of complex frequency response functions (FRFs) and complex mode shapes.

This is because X1 and X2 have different auto-covariance matrices, and hence inter-changing the rates is equivalent to inter-changing the terminals.

The feedback channels are intrinsically changing the spectral properties of the connectivity matrix and hence the associated static and dynamic transfer properties of the ingoing and outgoing ports of the network.

The resulting predictor-type feedback law contains a distributed term that involves the convolution between the past input and the state transition matrix and hence causes difficulty in its implementation.

The reduced misfit strain resulted in the suppression of the rapid growth of the C11b phase precipitates that did not possess the variant orientation relationship with the C40 matrix, and hence the thermal stability of the fine lamellar microstructures improved.

We speculate that the improved toughness of Ti TiB2 nanocomposite coatings is due to the formation of coherent Ti TiB2 interfaces, which in turn produce stress fields activating the motion of nearby dislocations within the Ti matrix and hence improved fracture toughness.

Those weaken the matrix and hence reduce the split strength of concrete.