Sentence examples for basis vector is from inspiring English sources

Each MCSM basis vector is a Slater determinant formed by mixed single-particle states, where the mixing amplitudes are optimized by quantum Monte Carlo and variational methods.

The key ingredient of this procedure is that each new basis vector is obtained by subtracting out the projection of the next linearly independent vector onto the vectors accepted so far into the set.

The importance of each MCSM basis vector is evaluated in terms of the probability amplitude in the eigenstate of interest, as shown by the size of the circle: larger circles represent major MCSM basis vectors, whereas smaller circles imply a less relevant contribution to this particular eigenstate.

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.

Then a standard basis vector is an eigenvector of the Jacobian matrix of the conjugate map at the fixed point, with associated eigenvalue 1.

Of course, one can always compute a linear basis for the left nullspace of a stoichiometric matrix using various linear algebraic algorithms, but then biochemical interpretation of each basis vector is problematic.

If one basis vector was allocated to handle this trend, good fits were obtained but poor interpretability.

A set of basis vectors is generated and transformation on to the subspace spanned by these vectors is then performed in such a way that the time-stepping dynamic analysis is totally carried out within the subspace.

Therefore, the order of basis vectors is changed, when swapping event occurs.

The group sparse learning could be extended for constructing hierarchical NMF where hierarchical grouping of basis vectors is examined.

In our approach, the matrix W of basis vectors is learned from each pitch from a desired instrument.