Theoretical or Mathematical/ quantum theory/ lower boundspositivity conditionGram determinantsquantum mechanical expectation valuesupper boundserror bound formula/ A3120 Specific calculations and results for atoms and moleculesNew upper and lower bounds for quantum-mechanical expectation values are derived from ...
There are two functions that can be used to quickly obtain the upper and lower limits of an array: LBOUND- Returns the smallest subscript in a given dimension of an array (Long). UBOUND- Returns the largest subscript in a given dimension of an array (Long). ...
We establish rigorous upper and lower bounds for the speed of pulled fronts with a cut-off. For all reaction terms of KPP type a simple analytic upper bound is given. The lower bounds however depend on details of the reaction term. For a small cut-off parameter the two leading order term...
By using the upper bound formulas proposed in this paper, the upper and lower bounds for Ramsey numbers can be improved, and some new bounds with two parameters for the Ramsey numbers are obtained. 运用该文的上界公式对Ramsey数的上、下界公式作出了一些改进,得到了含双参数的Ramsey数的新上、下界...
Theoretical or Mathematical/ quantum theory/ lower bounds positivity condition Gram determinants quantum mechanical expectation values upper bounds error bound formula/ A3120 Specific calculations and results for atoms and molecules DOI: 10.1016/0009-2614(71)80496-7 被引量: 12 年份: 1971 收藏...
This paper provides new lower and upper matrix bounds of the solution to the discrete algebraic Riccati equation. The lower bound always works if the solut... WK Sang,PG Park - 《Systems & Control Letters》 被引量: 49发表: 1999年 Technical Communique: Lower bounds on the solution of couple...
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....
Upper and lower bounds are calculated for the dispersion curves. They are rather close to each other in the cases of small electron-phonon couplings usual for real polar materials. To describe the dispersion in other materials, we suggest a simple fitting formula which can be applied at ...
Best upper and lower bounds in Wallis' inequality It is known that the quantum deformation of the enveloping superalgebra corresponding to the structure of the corresponding quantum group is given by simpl... CP Chen,F Qi - 《J.indones.math.soc》 被引量: 36发表: 2005年 Parameterizing correl...
In this paper we obtain a Hardy type formula for L-v,L-p,L-q,L-F(H-mu), where H-mu is a Hausdorff matrix and 0 < q <= p <= 1. Another purpose of this paper is to establish a lower bound for parallel to A(W)(NM)parallel to(v,p,F), where A(W)(NM) is the ...