半无限的

This result can best be viewed as a quantum black hole version of the third law of thermodynamics. As a result of this area spectrum, the spectrum of M is discrete, bounded below, and can be made positive. Prom the physical point of view, the semiboundedness and positivity of the spectrum are very satisfying results: The semi-boundedness of the spectrum implies that one cannot extract an infinite amount of energy from the system, whereas the positivity of the spectrum is in agreement with the well-known positive-energy theorems of general relativity.

同时根据EMDA黑洞动力学，存在与面积谱对应的大于零且有下界的质量离散谱，从物理上来看，质量谱的半有界性意味着不可能从系统吸取无限的能量，而正定性则与广义相对论中的正能定理一致，也就说稳态轴对称EMDA时空的ADM能量总是大于零。

In Chapter 6, based on discretization technique an implementable algorithm for nonconvex generalized semi-infinite minimax problems is presented and, utilizing properties of generalized quasi-directional derivative, its global convergence is proven under weak conditions.

对于广义极大极小问题，本文第六章在较弱的条件下，利用广义伪方向导数的性质，用离散化的技巧给出了非凸广义半无限极大极小问题的一种可实现的全局收敛算法。

The characteristics of the waves guided along a plane interface which separates a semi-infinite region of free space from that of a magnetoionic medium are investigated for the case in which the static magnetic field is oriented perpendicular to the plane interface.

沿平面界面分开的磁离子中，一个半区的空间是无限的，其中静态磁场导向的垂直平面接口个案调查指导波的特点。

To obtain quadratical convergence, however, strict complementarity condition at the Danskin point was used. The condition is too strict to be satisfied in many practical problems such as discrete semi-infinite minimax problem. Another kind of Newton method for finite minimax problems was presented by E. Polak and, without strict complementarity at the Danskin point, superlinear convergence (of order 3/2) was proven.

Polak等人提出了一种直接求解极大极小问题的二阶收敛的牛顿法，但是为获得二阶收敛速度要求在Danskin点处满足严格互补条件，这个条件太强，很多实际问题尤其是半无限极大极小问题的离散化不满足该条件；他们又给出另外一种牛顿法，在不假设严格互补条件成立的情况下，证明了它的超线性（3/2阶）收敛性。

To begin with, now that everybody has a passion – and, in my opinion, a ridiculous passion – for living in detached or semidetached villas, the new suburbs eat into the countryside in the greediest fashion and immensely enlarge the bounds of their cities.

首先，既然人们都热衷于住在独立或半独立的别墅里——按照我的观点，这种热衷是荒谬的，所以，新兴的郊区正在用一种最为贪婪的方式吞噬着乡村的土地，并且无限地扩充着城市的边界。

As a direot application of the results obtained, an infinite piezoelectric solid containing a semi-infinite crack is examined.

作为解的应用，分析了含半无限裂纹的无限大压电介质的机电耦合场，给出了应力和电位移强度因子的解析表达式。

On the basis of experiments, the patterns of penetration of a long tube against a normal homogeneous semi-infinite target were described.

长管体侵彻靶板有明显的特殊现象，根据试验结果描述了长管体垂直侵彻半无限靶板的物理图像，建立了侵彻阶段的理论模型、进行了计算，并同长杆体进行了对比，计算与试验结果吻合较好。

The tracer migration that the tracer concentration continuously injecting into semi-infinite sand column(initialization velocity is zero) and the pollutant continuously enter into aquifer through a discharging well that completely enter into the dive aquifer are two representative groundwater pollution problems ,Then this paper respectively sets above two decided solution problems and the union simulation problem of groundwater and solute as examples, from the question description, the mathematical model selection and determination, the parameters selecting to carry on the value computation, the read-write of attribute data , visualizes by the IDL programs, carries on the numerical simulation and the visualization post-processing to the above groundwater pollution problems, and according to the numerical solution and the solute migration curves, briefly analyzes and predicts the temporal and spatial distribution features and distribution range of contaminant concentration.

然后分别以半无限长沙柱中连续注入示踪剂浓度的运移、污染物通过一完全进入潜水层的排放井连续进入含水层这两个典型地下水污染定解问题及地下水流和水质联合模拟问题为例，从问题描述、数学模型选取确定、参数选取到运用IDL编程进行数值计算、属性数据读写、可视化，对上述地下水污染问题进行数值模拟和可视化的后处理，并根据数值模拟的数值结果和溶质运移曲线，对污染物浓度的分布范围及随时空变化趋势作了简要分析预测。

Finally, the designed sine and cosine sensor are applied on the simulated semi-infinite roof beam to compare their measurement results with the traditional piezoelectric acceleration sensor. The experiment results show that they are applicable and feasible.

最后，在模拟半无限长的钢梁上，利用压电加速度传感器与所设计的正弦形状和余弦形状传感器测量进行比较，实验结果表明，设计制作的正弦形状和余弦形状传感器是适用可行的。

In Chapter 3, a comprehensive analysis of the coupling coefficients between plane waves in conventional dielectric media and Bloch waves in photonic crystals with effective negative refractions is performed by the layer-KKR method.

第三章，我们运用layer-KKR方法计算得到平面波与半无限负折射光子晶体中Bloch波的耦合效率，从而可以将介质-等效负折射率光子晶体的透射率与介质-负折射率介质的透射率进行系统的比较。

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。