Sentence examples for basis vectors can be from inspiring English sources

These special basis vectors can be computed numerically in an efficient way using the LUQ routine discussed in [8].

In order to turn it into an efficient reduction algorithm, we will focus on two heuristic factors: (a) sorting the basis vectors b 1, b 2, …, b m to construct the matrix L of (6b) such that the lengths of the basis vectors can be maximally reduced quickly and, as a result, the running time of the algorithm can be significantly saved and (b) the complexity of the algorithm.

Let {e1, e2,..., e6} be the standard row basis vectors for ℝ N such that e i = S ei+1for i = 1, 2,..., N. Therefore, the circular shift operator matrix S relative to the defined row basis vectors, can be expressed as [27, 28] S = 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 1 1 0 0 0 0 0 (7).

Thus, a small number of QAA basis vectors can be used reliably to extract biophysically relevant order parameters from MD simulations.

Non-orthogonal basis vectors can be learned by SR, and the basis vectors may be allowed to be redundant.

This means that some EFM basis vectors in NS EFM can have negative activity coefficients and these basis vectors can be used to parallelize the depth-first search.

When the Hilbert space is of infinite dimension, state vectors can be represented by functions, the so-called 'wave functions.' In any given basis, there is a unique wave function that corresponds to the state vector in that basis.

On the basis of the estimated variance components, the weighting matrices of the process noise and the measurement noise vectors can be adjusted and then their effects on the state vector can be adjusted accordingly.

Two vectors can be added or subtracted.

Geminivirus-derived vectors can be classified into expression vectors and virus-induced gene silencing (VIGS) vectors.

This theorem is about how vectors can be arrayed on the surface of a sphere.