Sentence examples for matrices of first from inspiring English sources
In addition, as can be seen, the operational matrices of first kind integral equations have relatively low condition numbers.
A 3-way array X ∈ ℝ I× J× K is modeled by a (P, Q, R -component TuckeR -componentfollows: where A ∈ ℝ I× P, B ∈ ℝ J× Q, C ∈ ℝ K× R are Tucker3ponent modelces of first, second asd third modes respectively.
A 3-way array X ∈ ℝ I× J× K is modeled by an R-component PARAFAC model as follows: where A ∈ ℝ I× R, B ∈ ℝ J× R, C ∈ ℝ K× R are component matrices of first, second, and third mode.
w1, w2, and w3 represent the weight matrices of the first, second, and third layers of NN, respectively.
Functions of the singular values of matrices of third order cumulants associated with the TOR, CTOM and OARM algorithms for parametric bispectral estimation are shown to identify cutting states associated with the orthogonal cutting of stiff cylinders.
Here (D^{1}) denotes the operational matrix of first order.
Analyses are based upon a matrix of first principle finite difference calculations using the Sandia CTH (release 7.1) Shock Physics Code.
We consider the infinite matrix of first difference Δ = ( a n m ) n, m ≥ 1 defined by a n n = 1, a n, n + 1 = − 1 and a n m = 0 otherwise.
The Jacobian matrix ( A) and the matrix of first derivatives of the mass balances w.r.t the parameter values ( B) (whose columns are denoted by bj) are given by: <img src="http://journals.plos.org/plosone/article/asset?id=info?doi/10.1371/journal.pone.0002016.e004.PNG" class= inline-graphic"/> where x denotes a point along the nominal or unperturbed system solution.
Since the output sensitivity matrix is a linear transformation of the matrix of first order partial derivative functions, our correlation analysis approach provides a necessary (but not sufficient) condition of parameter identifiability.
By using a distance of one pixel and angles quantized to 45 ° intervals, four matrices of horizontal, first diagonal, vertical, and second diagonal are used [31,36].
