Sentence examples for these basis from inspiring English sources

These basis vectors are related such that.

These basis functions may be orthogonal or nonorthogonal.

These basis functions are chosen to be linear Lagrange elements.

These basis sets range from [7s5p2d] to [7s5p5d3f2g] size.

On these basis, an effective control scheme is established.

These basis types are easily presented and implemented as a numerical algorithm.

Next, we construct a trace class Wiener process from these basis functions.

end{aligned}The orthogonality property of these basis polynomials is given in [21].

These basis vectors are then orthonormalized using the metric tensor through a modified Gram-Schmidt procedure.

All these basis functions provide a similar speedup relative to the planewave basis.

Many of these basis sets we employ have been used by others with different methods.