Sentence examples for basis vector and from inspiring English sources

The global multimode basis vector and the multimode sub-basis vector are obtained based on the modified KICA.

The condition for a point to be classed as outside the current basis vector and selected as a new basis vector is derived and embedded in the recursive procedure.

Let now (e_i) be the (i{mathrm {th}}) Euclidean basis vector, and fix any ([a,b] subseteq mathbb {R}), (varepsilon in mathbb {R}).

It can be seen that the times of Kronecker product operation are related to the number of the dimensions n of orthogonal basis vector and the number of the dimensions N of high-dimensional column [5].

Recall that a monomial vector is a (nonzero) multiple of some canonical basis vector, and a monomial matrix M is a matrix whose columns are distinct monomial vectors and can be decomposed as M = D P where D is a diagonal matrix and P is a permutation matrix.

L) is invertible through introduction of the link matrix L. Having transformed the system, we add a small perturbation to reaction j (8) where δ is our perturbation; e j denotes the jth standard basis vector and the notation N r, j is used to denote the jth column of N r.

We propose a representation that maintains orthogonality of the basis vectors and so has excellent numerical properties.

In this work, we demonstrate that flux observability inherently depends on the number of independent EMU basis vectors and the sensitivities of coefficients with respect to free fluxes.

The projective nonnegative matrix factorization (PNMF) method is developed to exact the basis vectors, and the augmented Lagrangian multipliers (ALM) method is proposed to solve the proposed PNMF model.

The signals are adequately represented by a set of basis vectors and the corresponding weight parameters.

Basis vectors and are shown for use during the modeling step (Section 7).