Sentence examples for in a basis of from inspiring English sources

The analytical solution is based on the series expansion of the unknown deflection in a basis of the beam eigenfunctions.

It is meant for large-scale calculations in a basis of orthogonal orbitals for groups of LS terms of arbitrary parity.

We achieve this by constructing a measurement protocol, which enables a classical verifier to ensure that the quantum prover holds an n qubit quantum state, and correctly reports the results of measuring it in a basis of the verifier's choice.

If (partial _{f} (x) =0) for all f in a basis of (V^*), then (x in {mathcal {J}}^n V)).

If (widetilde{partial }_{f} (x) =0) for all f in a basis of (V^*), then (x in {mathcal {J}}^n V)).  .

If (widetilde{partial }_{f} (x) =0) for all f in a basis of (V^*), then (x in {mathcal {J}}^n V)).

After adopting a poloidal toroidal decomposition and expanding in spherical harmonics, we express the radial dependence in terms of a basis of exponentially convergent orthogonal polynomials.

In this method, a basis of lightcurves are chosen which represent systematic noise well and noise is considered to be the least squares projection onto this basis.

They are therefore expecting an advance payment in order to establish a basis of trust".

Loeb, L. A., Springgate, C. F. & Battula, N. Errors in DNA replication as a basis of malignant changes.

Child marriage is also a major problem in Papua New Guinea, and is a basis of demand for internal trafficking of children.