算出

We obtain a completecharacterization of each bound restricting self-adjoint extension by specifying theboundary conditions of L.

我们通过具体化L的边值条件，给出了Sturm-Liouville算子的任一限界自伴扩张的完备解析刻画。

A study was performed of the randomness of external loads on high arch dams,including flood,earthquake,landslide of mountains,etc.,the weakening of concrete strength of arch dams and rock strength of dam foundation,and the fuzziness of evaluation criterion.The disadvantages of conventional deterministic assessment methods for the safety of arch dams based on the strength theory and stability theory were analyzed respectively.It is suggested that fuzzy mathematics theory should be introduced to safety evalua...

研究高拱坝洪水、地震、山体滑坡等外载荷，坝身混凝土、坝基岩石材料强度弱化等的随机性，以及评价准则的模糊性；分析了高拱坝分别基于强度理论和稳定理论确定性评价方法的不足，提出应该利用模糊数学方法解决具有随机性、模糊性的高拱坝安全评价问题；建立了基于结构可靠度理论的高拱坝失效概率故障树模型并给出了具体算例。

His only equipment, apart from rubber-soled boots, was a bag of chalk slung at the back of his belt, into which he dipped his hands to dry the sweat and improve his grip.

如果不算纯胶的攀登鞋，他唯一的装备就只有挂在腰带后面的那袋滑石粉了；手若是出汗了，伸进去蘸一下弄干来增加抓力。

Moreover, we discuss the relationship between the residual norm of the quasi-refined approximate eigenpair and that of the refined eigenpair, and the quasi-refined biorthogonalization Lanczos algorithm is given. Some numerical experiments are carried on, and the results illustrate that the newalgorithm is superior to the classic one. 2.We propose the semi-refined biorthogonalization Lanczos method which is based on the refined projection idea.

将精化投影方法的思想和拟精化思想相结合，提出了拟精化双正交Lanczos方法，建立了拟精化近似特征对和精化近似特征对对应的残量范数之间的关系，给出了拟精化双正交 Lanczos算法，并进行了数值实验，具体算例表明，该算法比双正交Lanczos算法优越； 2。

Firstly, two examples, which belong to static analysis and dynamic analysis respectively, were given to show the effectiveness of discrete element method. Then the discrete element method was used to perform dynamic analysis of the Chinese 1 km deep-ocean mining system. The dynamic performance of the entire mining system under different current directions was discussed and compared with that from finite element method.

首先，从静态分析和动态分析两方面，给出2个典型算例，证明该方法的有效性；然后，将离散元方法用于中国1 km深海采矿系统的动力学分析，讨论不同海流方向下整体系统的联动性能，并与有限元方法进行对比。

However, multiwavelets obtained by using our method have symmetry/antisymmetry and linear phase.

最后，给出构造算例以说明所提方法的简单和有效性。

The time-dependent equivalent linear system is considered and therecuraive relations for evaluating the variances and covariances ofdisplacament and velocity are obtained.

考虑了等效线性化系统的时变性；获得了位移、速度的均方和协方的递推关系，给出了一个算例，将计算结果与其它文献的结果进行了比较，证明该方法是简单、精确和有效的。

Numerical results of dynamicstress concentrations in plates with cutouts are graphically presented and discussed.

作为算例，文中给出了平板开孔动应力集中系数的数值结果，并对计算结果进行了分析讨论。

In chapter six we introduce the framework of SO (5) and give a spinless excitation, the upper-lower operators of which can be related to the classification and characterization of the eigenstates.

第六章介绍了SO（5）理论大致理论框架，并给出了在SO（5）李代数中隐含的一个无自旋激发，它关联的升降算符可以用来对能级进行比较清楚的刻划。

Based on the evaluation of civil aircraft spare parts supplier s,this paper established an evaluational hierarchy containing criteria level and operation level to evaluate the suppliers in terms of quality,credit standing,competitiveness,response and service.

针对民机备件供应商的评估，从质量、资信、竞争力、响应以及服务等方面出发，构建了包含准则层与操作层的评估层次结构，其中操作层中定性属性信息以群决策、语意形式给出；准则层指标在权重信息与模糊语意量化词匹配的基础上，采用OWA算子的优化算法计算对应操作层的权重值；最后综合操作层的属性信息与权重信息，确定供应商的评估值，进而通过实例分析说明了本方法的实用性。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。