upper bound formulaThe Ramsey number R(G1, G2) is the smallest integer p such that for any graph G on p vertices either G contains G1or __G contains G2, where __ G denotes the complement of G. LetR (m, n) =R(Km,Kn ). Some new upper and lower bound formulas are obtained ...
56 MOTOHASHI'S FORMULA TOWARDS WEYL BOUND SUBCONVEXITY II 1:16:46 MOTOHASHI'S FORMULA TOWARDS WEYL BOUND SUBCONVEXITY III 1:05:18 MOTOHASHI'S FORMULA TOWARDS WEYL BOUND SUBCONVEXITY IV 1:07:41 ON THE DENSITY THEOREM OF HALÁSZ AND TURÁN II 1:38:41 POLYNOMIAL PLANK COVERING PROBLEM 46:...
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....
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...
Bi-Laplace operatorBochner's formulaLower boundUpper boundIn this paper, we will estimate the lower and upper bounds of the first eigenvalues for bi-Laplace operators on Finsler manifolds.doi:10.1016/j.difgeo.2016.03.007Shengliang PanLiuwei ZhangElsevier BV...
Furthermore, we deduce a lower bound for the exponent of tractability for arbitrary weights and a constructive upper bound for product weights.Michael Gne... M Gnewuch - 《Math Comp》 被引量: 49发表: 2012年 Entropy Numbers of Diagonal Operators between Vector-Valued Sequence Spaces Upper and...
Formulas of computing the upper and lower bounds for the trace of the solution of the discrete algebraic Riccati equation are proposed. Compared with the present result, it has higher estimate precision. The numerical examples show the efficiency of the proposed method.关键...
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 ...
Upper Lower Bounds The lowest and highest index numbers are known as bounds. Arrays have both upper and lower bounds, and the elements of the array are contiguous within those bounds. Array sizes should be identified using the LBound and UBound functions....
On the Upper Bound of Eigenvalues for Elliptic Equations with Higher Orders Let Ω be a bounded domain in Rm with piecewise smooth boundary. We consider the upper bound of the (n+1)th eigenvalue λn+1 for the two problems [formula]... ZC Chen,CL Qian - 《Journal of Mathematical Analys...