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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。

Inflorescences terminal and axillary, racemes subdigitate or axillary racemes sometimes solitary, spathate; racemes bearing pairs of unisexual awnless spikelets, female and male spikelets separated into different zones, axis fragile, especially in female zone; lateral racemes of digitate cluster entirely staminate, terminal raceme and solitary axillary racemes mixed, usually sterile spikelet pairs at base, then a zone with female sessile and sterile pedicelled spikelets, distally both spikelets of a pair staminate, uppermost spikelet pairs sterile.

花序顶生和腋生,总状花序或腋生总状花序有时单生,;总状花序着生单性awnless小穗,女性和男小穗分成不同区域,脆的轴,特别是女区域;侧总状花序的完全雄蕊花的指状簇生,顶生总状花序和单生总状花序混合,通常不育对在基部,一女的区域具无梗和不育pedicelled小穗,一雄蕊花的对,不育的最上部的小穗对的两小穗的上部的然后。

In this article, the history of Geng-Liao District is divided into three parts: The periods during the rules of Qing Dynasty, during the colonization of Japan, and after World War II to survey the related historical record. After this is a study of the affects of the Erchong Floodway toward the local education, religion, and way of life in Geng-Liao. The affects toward Geng-Liao Elementary School and the region around the old campus is shown by the structure and running of the school, the changes of temples: Fuan temple, Singjhen temple, Fusing temple, and Fude temple, and the development of Gengsin community and Singjhen community.

文中针对更寮的历史,区分为清领时期的更寮、日治时期的更寮、以及战后的更寮三个部份分别审视史料中有关更寮区域的记载,其后以更寮区域为标的,探究二重疏洪道的施建对更寮区域教育文化、民间信仰以及生活型态的影响;对二重疏洪道辟建后对更寮国小及旧校地周边发展,则分别从更寮国小、信仰中心:福安宫、兴珍宫、福兴宫、福德宫以及更新社区与兴珍社区的结构与运作与当地来陈述。

For reducing boundary distortion area, the elevations of grid DEM are viewed as a discrete sequence under a generalized coordinate, so that the boundary problem of two-dimensional discrete wavelet transform is turned into the boundary problem of one-dimensional discrete wavelet transform, which not only greatly reduces the boundary distortion area, improves the precision of reconstructed DEM data near the boundary, but also decreases the number of zeros adding on the boundary for wavelet transform, and boosts the compression ratio. On the basis of analyzing the distribution characteristics of coefficients in low and high frequency bands, a mixed entropy coding plan is applied, and a high efficient quantizator called"self-adaptive hard threshold"is established, which is helpful for improving the precision of the reconstructed DEM data and for enhancing compression ratio.

为了减小小波变换山区格网DEM数据压缩中边界失真区域,将山区格网DEM高程值视为广义坐标下的离散随机序列,把二维离散小波变换中的边界问题转换为一维离散小波变换中的边界问题,不仅大大减少了小波变换边界失真区域,提高了重构DEM数据边界点的精度,而且减少了边界补零个数,提高了压缩比;通过对山区格网DEM数据小波变换低频区和高频区变换系数分布特点的分析,采取了霍夫曼—游程混合熵编码方案,设计了高效、低失真的"自适应硬阈值"量化器,即对低频区变换系数不进行量化,直接进行霍夫曼编码;对高频区变换系数则先用"自适应硬阈值"方法量化处理,再进行游程编码。

In the studying of image segmentation, six crucial technologies havebeen developed successfully. 1 In one dimension histogram of original DRimage of luggage, there remain maximum-value wave crest havingapproximately stationary position, and the first minimum to the left of thewave crest performs excellently to be used to get rid of background of DRimage. 2 Open operation, one type of math morphology, is the right idea toerase luggage disturbance in DR image and at the same time, can be retaininteresting region appropriately. 3 After open operation, there are only a few minimums on image histogram, one of which can be to segment image furtherand achieves satisfying result. 4 Method of histogram analyzing and that oferosion performs well in the re-segmentation of conglutinative region in DRimage. 5 Method of image distance switch can ensure Luggage CT sectionautomatically obtained to have rich suspicious region information. 6 Todecompose structure element of math morphology is a way to save a great dealrunning time for automatically discerning interesting regions algorithm,apparently improving implementation efficiency.

在对图像可疑区域分割研究中,主要开发成功以下几项关键技术:1发现原始箱包DR图像的一维直方图中,均具有位置相对稳定的最大值波峰,以波峰左边第一个极小值为分割阈值,去除DR图像背景,效果非常好。2运用数学形态学中的开运算能够非常有效地去除箱子的干扰,同时能够比较好地保留可疑区域。3发现开运算后的DR图像直方图只有若干个极小值点的特点,其中用最大值波峰左边的第二个极小值点进一步分割DR图像,能够更有效地提取箱包中的可疑区域。4运用直方图分析法和腐蚀法,对粘连区域实行再分割,效果较好。5运用距离变换法,能确保自动设定的箱包CT截面包含丰富的可疑区域信息。6运用形态学结构元素分解技术,大幅度减少可疑区域的自动判别算法运行时间,提高算法软件执行效率。

Stability of solutions of the cavitated bifurcation equation is discussed in each region by using the minimal potential principle, and the catastrophic phenomenon of cavity formation is explained. 2. In Chapter 4, problems of cavitated bifurcation for two spheres, which are composed of two different kinds of imperfect compressible hyper-elastic materials, were examined, respectively. The parametric analytic solutions of the radially deformed function and the parametric cavitated bifurcation solutions are all obtained for the two spheres.

利用奇点理论给出了空穴分岔方程在分岔点的等价正规形,将缺陷参数分成若干个区域,证明了当缺陷参数属于某些区域时,具有缺陷的超弹性材料球体发生空穴分岔时的临界载荷比无缺陷的小;并利用最小势能原理讨论了空穴分岔方程的解在各个参数区域内的稳定性,解释了空穴生成的突变现象。

VNTR strain typing was suitable to trace the short chain of transmission in both small area and intra-families.

结论无论从家庭内或较小区域内收集菌株的分型结果显示,VNTR基因分型适合麻风菌分型和短传播链的研究。

A algorithm for using the minimum zone to evaluate the space linearity error based on the principle of coordinate transformation is introduced,and the mathematical model and calculation example are given in this paper.

介绍了一种用基于坐标变换原理的最小区域法评定空间直线度误差的算法,并且给出了数学模型和计算实例。

These 'noble grape varieties' must still be matched with the right micro-climate and winemaking techniques in order to live up to their potential.

这些&贵族葡萄品种&必须配以合适的小区域气候和酿酒者的工艺技巧才能长出达到它们潜质的葡萄。

Macroscopically speaking, in order to compensate for the lake of large French windows, it is recommended to replace direct lighting with indirect lighting, and make artificial lighting as close to the softness of natural light as possible.

宏观看之,整体空间建议以间接光来取代直接照明,让人工光线尽量接近自然光线的柔和自然感,以弥补环境中无法拥有大片落地窗的缺憾;微观选择,灯具建议挑选立灯或壁灯来取代吊灯,一般人会误以为立灯占空间,但其实吊灯最容易让空间中的视觉受到阻断,立灯与壁灯由於倚墙而设,不但无此问题,在小区域的光源控制上更具有灵活的弹性选择。

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As she looked at Warrington's manly face, and dark, melancholy eyes, she had settled in her mind that he must have been the victim of an unhappy attachment.

每逢看到沃林顿那刚毅的脸,那乌黑、忧郁的眼睛,她便会相信,他一定作过不幸的爱情的受害者。

Maybe they'll disappear into a pothole.

也许他们将在壶穴里消失

But because of its youthful corporate culture—most people are hustled out of the door in their mid-40s—it had no one to send.

但是因为该公司年轻的企业文化——大多数员工在40来岁的时候都被请出公司——一时间没有好的人选。