upper and lower boundsperturbation theoryExtensive Hylleraas-CI calculations for the lowest P-o states of He-4 were performed. The dependence of the variational energy values E-kappa on the mass parameter kappa
28hasbeenroundedtothenearestwholenumber.Whatistheminimumandmaximumvalue? Upperandlowerbounds Thelowerboundis27.5andtheupperboundis28.5 Tofindtheupperandlowerboundsweaddedandsubtracted0.5becausethisishalfofonewholenumber Upperandlowerbounds 240hasbeenroundedtothenearestten. Whataretheminimumandmaximumvalues? Whatis...
Find the upper bound by adding 1.96 multiplied by this result to your mean value. So if the mean is in cell D1 and this last result is in D4, enter "=D1+(1.96D4)" into a blank cell to get the result. To find the lower bound, choose another empty cell and enter "=D1-(1.96...
HF calculationsnuclear energy levelsnuclear forcesnuclear shell modeltritons/ converging upper boundconverging lower boundground-state energiesBy expanding the wave function in terms of the translationally invariant basis of harmonic oscillator functions, we calculate the converging upper (variational) bound ...
The EOF provides an upper bound on the rate at which maximally entangled states can be distilled from ρ and a lower bound on the rate at which maximally entangled states needed to prepare copies of ρ 9. For two-qubit systems, an elegant formula for EOF was derived by Wootters in ref....
In this paper, we give some sharp lower and upper bounds for the Laplacian spectral radius of trees that depend on only the degree sequences, i.e., (1) Let T be a tree with n vertices and k pendant vertices. Then μ(T)⩽μ(Tn,k),where the equality holds if and only if T is...
When a shield tunnel is excavated in water-rich strata with soft upper and hard lower layers, the failure mode of the tunnel face may shift from an overall failure mode to a partial failure mode. To address this issue, three-dimensional discrete failure mechanisms for both partial and overall...
In the case 0<L≤2, a lower bound is also obtained: σk(M)≥(1−L2)n−1σk(CL,dr2+g0), However, this inequality does not appear to be sharp. In this paper, we will look for upper bounds for the Steklov eigenvalues of hypersurfaces of revolution. First, we recall that there...
by the upper bound (in convex order sense) is a safe strategy in the sense that all risk averse decision makers would prefer the original (unknown) cdf. On the other hand, the lower bound gives us an idea of the high accuracy of the approximation. 2 2 Convex Upper Bound In the actuar...
Upper bounds on library dependencies can lead to breakage or installation problems in the future, so more curious if this can get changed to a lower bound to avoid breakage, or if there is a fundamental incompatibility with the lhapdf source code with cython v3 that would require a change in...