Sentence examples for infinite basis from inspiring English sources

Since we need to choose a finite subspace of a countably infinite basis, we restrict ourselves to the finite region −L

The techniques presented herein avoid the use of an infinite basis set and some of the complications of degenerate perturbation theory.

To perform the numerical computation of the quantum steady state we use the QuantumOptics MATLAB toolbox [24].To do this we approximate the infinite basis of the microwave cavity oscillator; wechoose to do this by truncating in the Fock (number) basis.

The dimension of the polynomial ring F[x] introduced above is countably infinite, a basis is given by,,, A fortiori, the dimension of more general function spaces, such as the space of functions on some (bounded or unbounded) interval, is infinite.

He rules out certain questions that might use infinite atoms as basis for this discussion, and continues on giving reasons for various properties that matter has.

Berlin can generate almost infinite interest on the basis of its tragic yet sexy history, from the communist ghosts of the Stasi through to David Bowie, but in these times of neoliberalism and hard financial rule even such attractive cultural capital isn't enough.

The Pochhammer Chree solution for an infinite cylinder is the basis for the model.

These two infinite matrices are the basis for the analysis of MDFT filter bank in the time domain.

The parametric part is a finite-dimensional multiple regression function whereas the nonparametric part is represented by an infinite series of orthogonal basis.

Finally, we represent the exact solution of the problem by an infinite sum of orthonormal basis functions achieved from the last stage above.

We first decompose the log hydraulic conductivity Y=lnKs as an infinite series on the basis of a set of orthogonal Gaussian standard random variables {ξi}.