Sentence examples for matrix introduced in from inspiring English sources

A more formal approach is discussed in [30], and it involves the use of the duplication matrix introduced in Section 3.1.3.

By using a strongly regular matrix introduced in [16], we can obtain the following theorem which actually generalizes Theorems 4.1 and 4.2.

In the signature matrix introduced in [56], the signature vectors of each user have a hierarchical tree structure where each vector is correlated only with its direct ancestor and descendants, and the number of vectors at the bottom level is equal to the chip rate.

This is the result obtained by the combination method called direct union of matrices, introduced in Coniglio and Fernández 2005.

This projection is performed as in the previous subsections using the transformation matrices introduced in Section 2 once the 3D frames used in the code and in the stereo-correlation procedure coincide.

In order to avoid the matrix inversion introduced in (16), the matrix inversion can be replaced by the iterative matrix updates as follows: mathbf{R}_{mathbf{y}_{d}}^{-1}=left(frac{sigma^{2}{{M}mathbf{I}_{M}+mathbf{C}right)^{-1} (18).

In [3], Borel-Pompeiu and Cauchy integral formulas are established in this setting, by following a ( 4 × 4 ) circulant matrix approach, similar in spirit to the circulant ( 2 × 2 ) matrix approach introduced in [9] within the complex Hermitian Clifford case.

The concept of the pseudo-receptance matrix is introduced in calculating the steady state response.

An environmentally stable PANI-DBSA/DVB conductive thermosetting matrix is introduced in this work.

A certain novel gain matrix is introduced in the dynamics of the control protocol to improve the performance.

To accelerate the IB forcing convergence during the iterative procedure, a pre-conditioner matrix is introduced in the recurrence formulation of the IB forcing.