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There are gaps among the crystal structures. In order the micro_object to be a continuum, a close-packed Wigner-Seitz model is put forward by the object structure principle.

针对Hamaker理论在工程实际中存在的问题，从物质结构出发分析晶体结构，发现晶体结构存在空隙，Hamaker连续介质假设不成立。

In order for there to be an induced current, we must have a closed circuit .

为了出现感生电流，我们必须有闭合回路。

In order to study the popular curve shortening flow in the plane, Gage[3] has shown in 1983 the following inequality, if k is the signed curvature of a closed convex plane curve γ with length L and enclosing area A, then one gets Gage calls it an isoperimetric inequality in [3], but he does not show that the equality holds if and only if the curve γ is a circle, while as an isoperimetric-type inequality, one should prove this kind of result.

Gage称之为等周不等式，但他没有证明其中等号成立当且仅当，γ为圆周，而作为等周型的不等式是应该证明这种结果的，本文我们利用单位速率外法向量流，通过努力证明了这种结果，从而把Gage不等式加强成更加等周的形式。

The gravitational fields required to make such a closed time-like curve would have to be very strong,"on the order of what you might find close to a black hole," Ori told LiveScience."We don't have any way of creating such strong gravitational fields today, and we certainly have no way of manipulating any such gravitational fields."

要制造出这样一条封闭时间曲线的引力场非得要非常强，"大约和你在一个黑洞附近找到的那么大"Ori告诉LiveScience"我们现在没有任何办法来制造这么强大的引力场，而且，可以肯定地说，我们无法来控制任何一个这样的引力场"

To now, there have been proposed by agents belonging to the short-term market behavior, will not last long on the Beijing market, which lasted for many years to an end sooner or later blow-out state, the property market shrinking, the slower pace of the new disk will lead to a large number of agents in the new disk Agent-based company closed down, Xuan Hyok temporary agency in order to embark on an impasse.

到现在，已经提出的代理人属于市场短期行为，不会持续很长时间的北京市场，持续多年的结束迟早井喷状态，房地产市场萎缩，慢步伐的新的磁盘将导致大量的人员在新的磁盘基于Agent的公司关闭，煊赫临时机构，以期走上了僵局。

In order to prevent this, you should either give the rook a small penalty for being on a closed file, or slightly lower the base material value of a rook.

为了防止这种情况，你应该给白嘴鸦的是在一个已关闭的文件，或略低，白嘴鸦的基础材料价值的一个小惩罚。

For registration of unknown-inner geometry connections, Nonlinear Correlation Information Entropy is proposed as the registration metric, which can use a value in the closed interval [0, 1] to estimate the general relationship among multi-variables, and may not be affected by the order of images.

对于具有未知内部关系的序列刚体图像配准，提出使用非线性相关信息熵作为配准测度。

In order to control the foreign exchange risk more effectively, we set up a closed cycle control system to manage the foreign exchange risk. This system is divided into four parts.

为更有效控制外汇风险，文章构建一个外汇风险管理闭环控制系统，对外汇风险进行全面、系统的管理。

Thin-walled tube with closed section is commonly used in large space structures. In order to calculate the time-dependent temperature fields in these structures subjected to heat flux and emitting thermal energy by radiation, the temperature gradients along both the axes and circumferences of the tubes should be considered.

薄壁闭口管是大型空间结构中的常用元件，为准确地计算以其为组件的空间结构在太空辐射换热条件下的瞬态温度场，必须同时考虑沿管轴向与横截面周向两个方向的温度梯度。

In chapter 3, the equation for solving free vibration of tube in tube tall building, which is developed by using equivalent closed tube method, is proved strictly to be the fourth-order Sturm-Liouville differential equation.

第三章严格证明了按等代筒体法推导出来的筒中筒高层结构自由振动方程是四阶Sturm-Liouville微分方程。

This time, we do not want to colorize the image. I've dragged my Hue slider to the left to a value of -123

这次不要勾选着色，我将色相的滑标向左移到-123

A timely report from an independent prosecutor would surely be helpful in buttressing and justifying that order.

及时报告从一个独立的检察官一定会有助於支撑和合理的秩序。