Sentence examples for matrix are left from inspiring English sources

The main objective of this paper is to prove that a stable system is globally monotonic if and only if all the rows of the output matrix are left eigenvectors of the space transition matrix.

Moreover the extracellular matrix is left unperturbed, thus sparing the structural architecture of surrounding structures such as bile ducts and blood vessels.

ESH (extended slow heating) pyrolysis and TGA (thermal gravimetric analysis, 200 °C) techniques are also adapted to evaluate core cleaning effects ensuring that only integrated matrix is left in the sample.

Since the columns of the matrix Q p are linear independent, the matrix is left invertible.

Given a consistent initial condition Y k 0 and since the columns of the matrix Q p are linear independent, the matrix is left invertible.

Let us consider the first Nv vibration modes of the vehicle: the modal shape matrix of interest is (left[ {varPhi_{text{v}} } right]); and the corresponding modal frequency matrix is (left[ {omega_{text{v}} } right]).

The results from this study suggest that primary flap closure over the matrix barrier is preferable leading to better ridge width gain than when the matrix is left exposed or early exposures happen.

The solution of the system (3) is given from (13), Y k = Q p J p k - k 0 Z k 0 p. where Z k 0 p is the solution of the algebraic system Y k 0 = Q p Z k 0 p. Since the columns of the matrix Q p are linear independent, the matrix is left invertible.

As a result the system's variational matrix is left ( textstylebegin{array}c@{quad}c@ frac{partial P}{partial u} & frac{partial P}{partial v} frac{partial Q}{partial u} & frac{partial Q}{partial v} end{array}displaystyle right ) = left ( textstylebegin{array}c@{quad}c@ - b & - c 1 & - d end{array}displaystyle right ).

The additive genetic covariance matrix was left unconstrained, because constraining this matrix to be general positive led to failure of model convergence in some iteration (see results).

The polymeric matrix was left in demineralized water for 24 hours to allow swelling prior to insertion of the BCP particles.