Sentence examples for matrix of elements from inspiring English sources

Instead, they reproduced a homogeneous matrix of elements.

Note that the notation τ − β represents the matrix of elements 1 / τ i j β.

where J ˜ τ β represents the matrix of elements J ˜ i j τ i j β, 2. ∥ J ˜ ∥ L 2 ( Ω 2, R p × p ) < min i l i,  .

Let (mathfrak {q}= (q_{ij})_{i, j in mathbb {I}}) be a matrix of elements in (mathbb {k}^{times }) such that (q_{ii} ne 1) for all (iin mathbb {I}).

The RAS method can be used for decomposition and mechanical updating of a matrix, whereby "R" stands for the diagonal matrix of elements modifying rows, "A" is the matrix to be updated and "S" is the diagonal matrix of column modifiers, hence "RAS".

The representation of a biological network as an n-dimensional signed adjacency matrix is given by a matrix of elements J ij ∈ {±1, 0}, i, j = 1,..., n. is assumed symmetric (i.e., the frustrated cycles we seek are in the underlying undirected graph), and with zero diagonal (i.e., no self-loops), see [ 21] and the Methods Section for details on the formulation of the problem.

denotes the identity matrix of size, and denotes the element of the specified matrix.

The finite element equation is scale-decoupled via eliminating all coupling in the stiffness matrix of element across scales, then resolved in different spaces independently.

The scale-decoupling condition of the stiffness matrix of element is proposed by introducing wavelet vanishing moments, and the principle of constructing the scale-decoupling wavelet bases is established.

The first one is based on an analytical expression for the first derivative of the tangent stiffness matrix of element e, K ∼ T e, with respect to λ for the special case of a co-rotational beam element.

In this analysis, the physical properties of each phase constituent are taken into account in the formation of element matrix of bar elements.