Sentence examples for matrices is introduced from inspiring English sources

Here, a disposable ultra-low cost and simple paper-based sensor (PBS) for on-site quantification of nitrite in environmental matrices is introduced.

In this paper, a generalization of a formula proposed by Van Loan [Computing integrals involving the matrix exponential, IEEE Trans. Automat. Control 23 (1978) 395 404] for the computation of multiple integrals of exponential matrices is introduced.

Four important simulation techniques are employed to simulate this system: (1) Kronecker product of matrices is introduced to transform a matrix-differential-equation (MDE) to a vector differential equation (VDE) [i.e., finally, there is a standard ordinary-differential-equation (ODE) formulation].

The symplectic eigenproblem is derived for skew-symmetric matrices, a cell triangular decomposition for skew-symmetric matrices is introduced to reduce the generalized eigenproblem, and the symplectic Householder transformation is introduced to cell tri-diagonalize the skew-symmetric matrix to solve the eigenequation.

The STP of matrices was introduced by Cheng [21, 22].

Some slack matrices are introduced to reduce the conservativeness.

Centro-invertible matrices are introduced by R.S. Wikramaratna in 2008.

New objects: diagonal antitraces, symmetric and antisymmetric nondiagonal antitraces of characteristic matrices are introduced.

Spatial configuration matrices are introduced to describe and manipulate the spatial information of primitive mechanisms.

Then some free weighting matrices are introduced, and a sufficient stability condition is obtained in terms of linear matrix inequalities.

To reduce the conservatism of the stability conditions, improved Lyapunov-Krasovskii functional and free-connection weighting matrices are introduced.