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Four new relative efficiencies of the best linear unbiased estimator to the covariance improvement estimator for the unknown parameter vector are given, and three new relative efficiencies of the least square estimator to the covariance improvement estimator for the unknow parameter vector are given.

本文考虑相依模型,对其未知参数向量给出了其最佳线性无偏估计相对于协方差改进估计的四种相对效率,同时,还给出了最小二乘估计相对于协方差改进估计的三种相对效率,在不同条件下,分别给出了相对效率的上界与下界。

In this paper, we expand the eigenvalue of Poisson equation using nonconforrn-ing Q1rot element. The principal term of error we get is not negative. In general, the approximate eigenvalue is the upper bound, but the approximate eigenvalue may be the lower bound when the principal term is zero.

本论文对Poisson方程的特征值采用方形旋转双线性非协调元Q_1~(rot元进行展开,得出的误差主项大于或等于零,因此在一般情况下近似特征值是上界,但当主项等于零时近似特征值可能是下界。

Corresponding to such a NP-hard problem, this paper gives some polynomial time solvable cases, and a branch and bound algorithm with a rapid method for estimating the lower bound for general case.

对这一NP-困难的排序问题,文中给出了几个多项式可解的特殊情形,一般情况下的一个快速下界估计方法以及相应的分支定界算法。

On the assumption that the constraint field is not empty and bounded, using the branch and bound theory, an algorithm is presented to solve the by branching the upper-level decision variable.

在可行域非空有界的条件下,运用分支定界方法的思想,对上层决策变量进行分支,又提出了一个求解混合整数线性双层规划的分支定界算法。

The greatest lower bound of A is also called the infimum of A.

A的最大下界边称为A的下确界。

Results The malar fat pad is an incrassate area of sub-dermal fat in mid-face. Its extension ranges from the junction of malar arch and malar bone body to nasolabial fold in lateral direction, and from the inferior margin of orbicularis oculi to lateral inferior part of the angle of mouth. In old cadaver the malar fat pad reaches the margin of mandible and forms an inverse triangle.

结果 颧脂肪垫为面中部皮下脂肪的一个增厚区域,它的范围外侧起自颧弓和颧骨体交界,内侧到达鼻唇沟,上界位于眼轮匝肌下缘,下界位于口角外下方,在老年尸体可达下颌缘,近似一个倒置的三角形。

In the study area, the thinning-out line of albic horizon is coincident with the 55.74m contour line, and the maximum horizon error was less than 1m and the maximum vertical error less than 0.04m.

基于湿地边界标准的湿地的定义应为:湿地是陆地和水体之间的过渡带,是由于地表淹水/土壤水饱和而形成的一种隐域性自然综合体,其上界位于陆地土壤诊断层的尖灭点处,其下界是有根植物下界。

When the information of the bent function exceeds the lower bound, we can find it.

在对bent函数的研究过程中,我们希望找到一个下界,当我们知道bent函数的信息量超过这个下界时,我们就能得到这个函数。

In the project, we found a method for designing a family of 4-optimal double loop networks, established some sharp upper bounds of forwarding indices, distance domination nember, the edge-connectivity and the sharp upper bounds of wide-diameter and fault-tolerant diameter of Cartesian product graphs, the lower bounds of restricted edge-connectivity of digraphs and a sufficient and necessary condition for the restricted edge-connectivity of a graph to be equal to the restricted connectivity of its line graphs; raveled pancyclicity and panconnectivity and obtained the exact values of the mentioned parameters for some well-known networks.

本项目给出最优双环网络的设计方法,找到4紧优双环网络无限族,建立了路由转发指数紧的界,确定了笛卡尔乘积图的边连通度的表达式,宽直径和容错直径紧的上界,给出有向图限制边连通度的下界和无向图的限制边连通度等于它的线图限制点连通度的充要条件,对一些著名的网络确定了上述参数的精确值,讨论了宽直径和容错直径之间的关系,解决了超立方体某些变型网络的泛圈性和泛连通性,得到距离控制数的紧的上界。

Quasi-convex relaxation algorithm, which aims to solve ordinary constraint global optimization problems, is produced by a combination of branch-and-bound method with quasi-convex lower bound and quasi-concave upper bound functions developed from quasi convex-concave extension. This algorithm extends the interval algorithm with box constraint to general constraint global optimization problem.

利用拟凸-凹扩张中构造出的函数的拟凸下界函数和拟凹上界函数,与分枝定界方法相结合,建立了求一般约束全局优化问题的拟凸松弛算法,这一算法是将盒子约束的区间算法推广到一般约束优化问题中。

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