查询词典 upper bound

In this paper, we expand eigenvalue of Poisson equation using bilinear element ,By the formulation of the error expanition,we can conclude that it is a upper bound.

本论文对Poisson方程的特征值采用双线性元进行展开，得到了误差展开式，通过误差展开式，我们能得到特征值是上界。

By combination of the finite differential technique with the upper bound elemental technique, simulation for the technology of extrusion directly following liquid infiltration which involves infiltration, solidification, and large plastic deformation in one process has been realized and the essences of various technical processes have been revealed by their corresponding simulation results showing the variation of the infiltrated depth and the temperature field with time during infiltration, the punch position, the solidification development of the matrix alloy, the state of the composite within the deforming zone, and the forming load required at different times during extrusion.

采用有限差分法和上限元法相结合，对融浸渗、凝固和大塑性变形为一体的液态浸渗后直接挤压工艺过程进行了数值模拟，从浸渗时浸渗深度与坯料温度场随时间的变化以及挤压过程不同时刻的冲头压下位置、坯料凝固情况、变形区坯料状态、成形载荷大小等方面揭示了不同工艺条件下的各种挤压过程的实质。

The upper bound solutions of earth pressure were obtained by using the nonlinear sequential quadratic programming algorithm.

运用序列二次规划算法进行优化分析，得出围岩压力上限解的最优值。

According to the fact situation that short sale is not allowed, we increase the lower and upper bound constraint of portfolio return.

3根据不允许买空卖空的实际情况，增加了组合收益上下限约束。

First, for a given integer value of the objective function, the lower and upper bounds of the variables were determined by the optimum simplex tableau of the linear programming relaxation problem. Then the conditions on the bounds were added to the constraints as cuts to the associated objective function hyperplane. Finally, a branch procedure of the branch-and-bound algorithm was applied to finding a feasible solution on the objective function hyperplane.

对于给定的目标函数整数值，首先利用线性规划松弛问题的最优单纯形表确定变量的上、下界，然后将变量的上、下界条件加入约束条件中对相应的目标函数超平面进行切割，最后应用分支定界算法中的分支方法来搜寻目标函数超平面上的可行解。

In classic theory,it is held that, in Sobolev Space ［H1］3, there is the upper bound of the norm of the constant rotating flow of the incompressible viscous fluid between two closed surfaces. It is inversely proportional to the viscosity of the fluid, and it will go to infinity when the viscosity goes to zero.

经典理论认为，不可压缩粘性流体定常旋转流在Sobolev空间［H1］3中的范数的上界与流体粘度成反比，随着流体粘度的减小，这一上界会无限地增大。

By the means of combinatorial matrix, the relation between minimum degree of connected graph and upper bound of spectral radius was carefully depicted.

利用组合矩阵方法，精细地刻画出连通图的最小度与谱半径的上界之间的关系，在一定条件下改进了以前的一个结果。

For example,,,where .2.Convergence of the iterative method: firstly I give a new upper bound for the spectral radius of iterative matrix , where is a double strictly diagonal dominant matrix.

迭代法的收敛性分析：首先给出了一般迭代阵谱半径新的上界估计，其中矩阵为双严格对角占优矩阵，是一种比严格对角占优更广泛的矩阵类。

By applying the theory of infinite series, this paper proves a factorial inequality and proposes an improved upper bound of the parameter on Stirling s formula.

应用级数理论证明了一个关于阶乘的不等式，从而给出Stirling公式中参数的一个改进上界，并在此基础上，对一个有关产品检测的古典概率———二项分布的近似计算问题进行了讨论

Optimization; parametric quadratic convex programming; set-valued map; directional derivative; linear stability; solution-set map; parametric linear programming; error bound; subdifferential map; lower locally directionally Lipschitzian; upper locally di-rectionally Lipschitzian; locally directionally Lipschitzian; convex function; quasidiferential; kernelled quasidiferential; quasi-kernel; star-kernel; star-diferential; Penot diferential; subderivative; superderivative; epiderivative; set-valued optimization; set-valued analysis; subdifferential; optimization condition;ε-dual; scalization; generalized subconvexlike-cone;ε-Lagrange multiplier

基础科学，数学，运筹学最优化；集值映射；方向导数；线性稳定；最优解集映射；参数线性规划；参数凸二次规划；误差界；次微分映射；下局部方向Lipschitzian；上局部方向Lipschitzian；局部方向Lipschitzian；凸函数；拟微分；核拟微分；拟核；星核；星微分； Penot-微分；上导数；下导数； Epi-导数；集值优化；集值分析；集值映射的次微分；最优性条件；广义锥次类凸；ε-对偶；数乘；ε-Lagrange乘子

After explaining total design of automated test system for microcircuit , the thesis introduces GPIB standard .

文章在说明了微电路模块自动测试系统的总体设计后，对GPIB标准进行了介绍。

He interceded in my behalf.

他替我说情。