Sentence examples for approximate ground from inspiring English sources

Approximate ground ranges from Rikubetsu are shown.

Then, least squares method is applied to approximate ground curves and to determine the ground height.

By using spectral matching, the approximate ground motion digitized data was modified to match up to the original response spectrum published by Elnashai et al. [1].

Figure 3 shows the exact and approximate ground state wave functions for N = {1,2} with optimized length L ̂ = { 2. 52479, 3. 04635 } Open image in new window, respectively.

This gives the approximate ground level of exciton ε k)=sk−ε ex (k), where the binding energy of the exciton is ε ex (k) = Π−1sk g2 log2(m1/m2) (the coefficient 1/Π here is found by a variational method).

However the coefficient operator is not a bounded linear operator and the dependence on the path is not continuous in the uniform convergence topology if the Riemannian curvature tensor on the underling manifold is not equal to 0. The difficulties are solved by using unitary transformations of the Schrödinger operators by approximate ground state functions and estimates in the rough path analysis.

In the subsequent section, the results of approximate ground-state energy solutions for various cases have been discussed.

In this way, one can perform a kind of quantum-assisted optimization, in order to approximate ground-state energies and the ground-state eigenvectors for electronic molecular problems.

Approximate ground-state solutions have been studied for different strengths of coupling, for both massive and massless mediating fields where the virtual annihilation terms or retardation effects in the wave equations have been included or eliminated.

Approximate ground-state solutions of the two-, four-, and six-body systems have been presented for different strength of coupling, for both massive and massless scalar mediating field to compare the effects of virtual annihilation interaction terms and retardation effects in the relativistic equations.

The finite element approximation for 1d, 2d with radial symmetry and 3d with spherical symmetry and cylindrical symmetry are presented in detail and approximate ground-state solutions, which are used as initial guess in our practical numerical computation of the minimization problem, of the GPE in two extreme regimes: very weak interactions and strong repulsive interactions are provided.