自由空间

There are series of papers studying the solvability of an incompressible, viscous, instationary fluid contained in a domian bounded entirely by a free surface. In 1977, Solonnikov proved its local solvability in a Holder space for any initial date but without surface tension. In 1984, he considered the same problem in a Sobolev space with surface tension being taken into account. In I992, Mogilevskii and Solonnikov treated the same problem in a Holder space, where the coefficient of surface tension is not a constant. There are also short-time existence results for the solvability of an incompressible, vicous, unsteady fluid bounded above by a free surface and below by a fixed bottom which approach horizontal planes at infinity. In 1981, Beale proved its local solvability in a Sobolev space for any initial date but without surface tension. In 1983, Allain were concerned with the same problem in R〓 with surface tension but under the assumption that the initial fluid domain was near a horizontal strip. In 1987, he obtained the same result without the preceding assumption. In 1996, Tani solved the same problem in R with surface tension. For the solvability of an incompressible viscous instationary fluid in Ω R bounded inside by a free surface S and outside by a rotating boundary S, in 1995 Ciuperca proved its local existence in a Sobolev space for any initial date but without surface tension. In this paper, we consider the same problem with surface tension.

对于边界完全是由自由边界组成的有界区域中粘性不可压流体的非定常运动问题，Solonnikcv于1977年在忽略表面张力情况下证明了初值问题小时间解在Holder空间的存在性，于1984年在有表面张力情况下证明了初值问题问题小时间解在Sobolev空间的存在性，Mogilevskii和Solonnikov于1992年在表面张力系数可以不是常数情况下证明了初值问题小时间解在Holder空间的存在性；对于上面是自由边界、下面是固定边界且两边界在无限处趋于水平的无限区域中粘性不可压流体的非定常运动问题，Beale于1981年在忽略表面张力情况下证明了初值问题小时间解在Sobolev空间的存在性，Allain于1983年在有表面张力情况下证明了R中初值问题小时间解在Sobolev空间的存在性，但其中假定初始区域近似是个水平条，他于1987年去掉了这个假定得到同样的结果，Tani于1996年在有表面张力情况下证明了R中初值问题小时间解在Sobolev空间的存在性；对于R中内面是自由边界、外面是旋转边界S的有界区域中粘性不可压流体的非定常运动问题，Ciuperca于1995年在忽略表面张力情况下证明了初值问题小时间解在Sobolev空间的存在性，本文考虑了在有表面张力情况下初值问题可解性问题。

However, only when the preservation of environment resources becomes natural capital investment can it be the basie content of sustainable development. So it wants the law to arrange a free choice of spac...

这就需要法律安排出企业产权自由选择的空间，中国现行制度中企业自由选择的空间较小，因此现行法律制度的创新任重道远。

The paper includes:The author calculate the structures inner force and displacement of the free end , analyze the influence of the height and the value of pretress of cable by making use of ANSYS 9.0 soft, pose the concept of critical prestress,conclude the function relation between displacement of the free end, initial strain and the height of cable ,analyze the dynamic properity and point out that Newmark-β method should be adopted when we analyze the dynamic properity of the cable-stayed spatial structure with direct integral test to guarantee the contribution of high mode,finally conclude the functional relation among coefficient of earthquake inner force, initial strain and the height of cable, wish to get some helpful conclusion applied to cable-stayed spatial truss design.

本文系统介绍了斜拉空间桁架竖向地震反应的分析理论与方法、详细分析了斜拉空间桁架结构在静力和竖向地震作用下的受力性能，主要内容包括：利用通用有限元软件ANSYS9.0计算了斜拉空间桁架在静力和竖向地震作用下内力及自由端位移分布规律并得出地震内力系数与节间位置、预应力以及斜拉索高度之间的函数关系；详细分析了斜拉索中施加的预应力以及斜拉索高度的变化对于该种结构内力及自由端位移的影响并提出了斜拉空间桁架的临界预应变概念，进而得到了自由端位移与初始预应变以及斜拉索高度的函数关系，即：△=-(40h+2180)ε+9.8；分析了该种结构的动力性能，并指出：在时域内采用直接积分法计算该种结构的动力响应时，应该考虑采用不引起振幅率减小的Newmark-β法，以保证高阶模态响应的贡献仍然保留在响应中而不致于被忽略。

The tangent space and normal space of the robot motion curve is constructed by using Newton-Euler orthogonal method, which satisfies the restrictions of linear and angular momentum conservation of free-floating space robot system. An analytical expression of joint actuation torque in the floating state is given by using this method.

根据空间机器人自由漂浮状态时系统动量守恒的特点，采用Newton-Euler正交方法构建了满足系统动量守恒约束条件的空间机器人运动曲线法空间与切空间基底，并以此基础得到了自由飘浮状态下的空间机器人关节力矩的显式表达式。

In all, the application of the interdisciplinary cultural research method to culturally and politically reflect on the relationships between literature and space is not only criticism of alienation caused by the domination of homogeneous space power, but also possibility of combating the repressive space, and thus transforming space and seeking for multiple differential space that is free and emancipatory.

总之，运用跨学科的文化研究方法，对文学与空间的关系进行文化政治学的反思，不仅意味着对同质化空间权力统制所造成的异化现象的批判，同时也意味着抵抗压迫空间，进而改变空间，寻求自由解放的多样差异空间的可能性。

The light intensity is symmetrical on the normal. The spatial distribution of output laser is connected with the mean free path of photons in random medium.

激光出射的空间分布与无序介质中光子平均自由程有关，据此可通过测量激光出射的空间分布来反推光子平均自由程。

First of all, retreat of glaciers and shrink of perennial snowbank induced by climate warming provide parent materials and spatial room for soil formation and development in the maritime Antarctica. Meanwhile, melt water originating from glaciers and snow-ice covers enhances temporal and spatial availability of free water, which plays all-important roles both in periglacial processes and the processes within soil profiles, thus influencing soil genesis and evolution to a great degree.

首先，南极海洋性气候区日益加速的气候变暖现象导致冰川消退、地表积雪融化，为土壤形成与分布提供了母质与空间基础；同时，气候变暖导致自由水活动在时间和空间上的加强促进了以自由水为基础的土壤过程和冰缘地貌过程，对南极海洋性气候区土壤发生、发育产生深刻影响。

Lines intersect freely in space with no a priori order; connections between the works organize naturally by juxtapositions and confrontations.

线路相交于自由空间，没有先验秩序的影响，以并列和对抗的方式来组织它们间的相互联系。

Aperture averaging of optical scintillations in the turbulent atmosphere.

王惠琴，柯熙政，&自由空间光通信中的混合空时编码&，光学学报 29，

The rotary connection can be carried out in free space and hi-direction transmission of optical signal can be performed. Through analyzing the design principle of the optical structure and optical path calculation, it is found that when the ratio between the focal lengths for two lens is 20~50 and off-axis distance is in the range of 4~10mm, the interference will not be occurred between two optical channels and signal transmission can be lasted.

在自由空间可以实现旋转连接并实现光信号的双向传输，通过分析该光学结构设计原理和光路计算，发现每组透镜中两个透镜焦距之比为20-50，离轴距离为4-10mm范围时，才能保证光通道之间不发生干扰且信号持续传输。

But we don't care about Battlegrounds.

但我们并不在乎沙场中的显露。

Ah! don't mention it, the butcher's shop is a horror.

啊！不用提了。提到肉，真是糟透了。