Sentence examples for matrix we introduce from inspiring English sources

Since P is a positive definite matrix, we introduce a Lyapunov function Vbigl(boldsymbol{x}(t bigr)=frac{1}{2} boldsymbol{x}^{T}(t Pboldsymbol{x}(t).

To predict a fine-scale invasion of Argentine ants (Linepithema humile) into a natural area from the surrounding suburban matrix, we introduce a grid-based invasion model, similar to a cellular automaton model.

In this paper, using the difference operator of order m, the sequences of Orlicz functions, and an infinite matrix, we introduce and examine some classes of sequences of fuzzy numbers defined by I-convergence.

To compute our next generation matrix, we introduce to the population at the "disease-free" stable-stage distribution one infected tick or host of one type-at-birth and calculate the number of newly infected individuals by type-at-birth.

In order to avoid the high computation caused by the differential calculation of every edge (|Δ ij| ≤ α) in the adjoint matrix, we introduce threshold ε which is the sum of the corresponding edge difference in associated circuit based on the circuit simulation.

In addition to the K matrix we introduced the STRUCTURE Q matrix as a correction.

To avoid possible steric hindrance between target(s) and the matrix, we introduced a spacer between 6AP or GA and the sepharose beads.

Compared to the previous study concerning decellularized pancreatic matrix, we introduced a new physical method which is called freeze-thaw cycle.

Therefore, by using the properties of the (mathcal{L} -operator and the (mathcaL} -operator, we introduce andew inequalitheof the (mathcal{L})-operator that is effective for a stochastic non-autonoM} -matrixM} -matrix

In order to write in matrix form, we introduce the following notation.

For the rapid evaluation of the matrix entries we introduce a size robust algorithm for integrals of quasi-periodic micro functions and polynomial macro functions.