Sentence examples for expressed as a matrix from inspiring English sources

This lemma shows that the inverse of any Hermitian matrix can be expressed as a matrix polynomial.

For example, in radar applications, under a far-field assumption, the observation system is linear and can be expressed as a matrix of steering vectors [148, 149].

The system of linear equations given by 23 can be expressed as a matrix computation of the form ( C - D ) w = E (24).

Using this technique, vertical handoff decision can be expressed as a matrix where each row i corresponds to the candidate network i and each column j corresponds to an attribute (Bandwidth, Delay, etc).

Therefore, ({loggamma_{0},loggamma_{1},loggamma_{3}}loggamma _{3}}) forms a linear ordered basis of (operatorname{Sol}_{1}^{4}) with respect to which (Phi_) can be expressed as a matrix of the form where (varphi_{0}), (varphi_{2}) are integers and (varphi_{1}) is a (2times 2) integer matrix.

The lengths of all the 18 pneumatic cylinders are expressed as a matrix with 18 lines and 1 column as Length = [AD, AC, AB, DC, BC, DB, ED, EC, EA, GD, GC, GB, HD, HA, HB, FA, FC, FB]T = [a1, b1, c1, a2, b2, c2, a3, b3, c3, a4, b4, c4, a5, b5, c5, a6, b6, c6]T.

The cross-product of two vectors u and v can be expressed as a matrix-vector multiplication as follows (A.1 where u, v, and the cross-product matrix E u are given by (A.2 If R is an arbitrary rotation matrix, such that (A.3 where R j is a column vector containing the elements of the j-th row of R, then the following properties emerge (A.4) (also (A.7)A.7 A.7o (A.7).

By introducing an appropriate transformation of the coordinate system with an orthogonal matrix, the covariance matrix can be expressed as a diagonal matrix.

Equation (46) can be expressed as a linear matrix inequality (LMI) by using Schur complements.

The initial extended DSM can be expressed as a partitioned matrix, describing task dependencies in one project and among multiple projects concurrently.

Each quaternion was first expressed as a rotation matrix in the form of Eq. (42) and then the angles χ, δ, and λ were extracted via Eq. (43).