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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。

Among those; studies, Liu and Bek have obtained many important results for the theory and applications of Banach spaces and their geometry on complex number,(see [3],[41])Here, we have investigated the TP modulus of convexity and TP modulus of smoothness, on the one hand, we have defined a class of new spaces called uniformly TP convex ,on the other hand, we have extended martingale inequalities and the martingale spaces.This article is divided into four parts, in the first part, we define the TP modulus of convexity and TP modulus of smoothness of Banach space, and prove that the space which is characterized by uniform convexity is same as the space which is characterized by TP uniform convexity. Then we give TP q-uniformly convex and TP p-uniformly smoothable characterization of the Banach space. At the same time, we prove the famous renormed theorem.

本文分为四部分,第一部分在Banach空间上定义了一个新的TP凸性模和TP光滑模并证明了在Banach空间上它分别和一致凸性和一致光滑性刻划的空间是同构的,即如果Banach空间X是一致TP凸的充分必要条件是存在一个等价范数,使得在此范数下,它是一致凸的;Banach空间X是一致TP光滑的充分必要条件是存在一个等价范数,使得在此范数下,它是一致光滑的,我们还分别得出了判定一致TP凸和一致TP光滑的一些充分必要条件,同时还证明了箸名的重赋范定理。

The choice of position on the bus refer to covertness, territoriality, uncertain pressure, space without interruption, habitual space, dangerous space and the sense of security.

公车上空间位置的选择与隐密性、领域感、不确定性的压力、无干扰性的空间、习惯的空间、危险的空间和安全感都有重要的关连性。

The quality of interior environment in nursing home residents will become one of the attention-getting subjects due to the gradual increase of aging populations This paper directs at the research of nursing home's interior environment factors in Tainan We use the standard of international practice to analyze the intrinsical data of environmental monitoring and establish the characteristics which from environmental physical reaction of nursing home The research items are air environments (PM10 CO CO2 formaldehyde TVOC) temperate environments and light environment (illumination average brightness daylight factor) etc There are the inductive conclusions of this research: 1 In basic medicine the clinical diagnosis means the theory and technique about physical examination with patients The definition of clinical diagnosis in architecture should be the diagnosis of building preserve and improve the feasible way to extend building's service life and assure the residents of the healthy quality of interior environment The object of clinical diagnosis in architecture is not only to ensure the use of structure and environment quality but also keep the structure and environment quality in sustainable; therefore creating an efficient system of preserving plan is needed 2 It is an accurate and technical circumstance which about improving remedying and reconstructing the problems of structure space This circumstance includes finding questions ensuring causation ascertaining ultimate strength evaluating environment quality estimating the necessary of restoration and implementing on a suitable way Furthermore when reconstructing and ameliorating the appearance of structure space it should be respected and the memories of it should be preserved 3 In clinical diagnosis of environment quality of space the question of physical environment and the deficiencies of structure must be separated The structure space of construction and the high quality of space should be inspected strictly then observed the crucial reason that can find out any invisible and hidden causes The diagnosis of construction is to observe the reason of destroyed structure The environmental diagnosis of indoor and outdoor is to find out the crucial reason that influences health 4 In order to decrease the iterant problems the construction and environment of space should be diagnosed However the destruction by natural strength and artificial using by human are important causes that can affect the service life of construction Searching the cause of disease just like curing the patient which includes inspection diagnosis cure and prevention We tested the thermal conductivity of siding material in this research and then found out the roof east vertical face and west vertical face have most radiant heat especially the construction of RC The characteristics of opaquely outer casing have relations with the thermal conductivity of wall to wiz the ability of heat insulation Therefore increasing the efficiency of heat insulation and decreasing the endoergic factor of insolation are very important to temperate environments

而随著国内老年人人口逐渐增加,逐渐迈向高龄化之同时,对於高龄者使用空间之室内环境品质相关议题之探讨,亦成为未来我们需加以关注之议题之一。主要为针对台南某安养中心室内环境因子进行检测调查工作,利用现场室内环境测定以取得有效的实测数据;再藉由汇整相关国际评估基准,并进行实测数据比对分析,建立老人安养中心对物理环境反应之特性。并以前期相关研究文献回顾与老人安养中心实测案例现场的实验,来了解不同空间物理环境特性之影响,并将结果回馈实际建筑及室内设计之用。调查工作项目包含:空气环境之PM10、CO、CO2、甲醛、TVOC;温热环境之室内温度、相对湿度、人体PMV、PPD;光环境之照度、均齐度、昼光率等因子调查。本研究结果可归纳以下几点结论: 1 所谓临床诊断医学乃相对於基础医学而言,是指实际与病人接触的医疗及护理行为中牵涉到的理论和技术;而建筑的临床诊断的定义应为建筑本体与室内外诊断、维护及改善所有可行的方式来延长建筑物的寿命,并确保人与室内环境空间品质的健康。建筑临床诊断目的为确保结构体与环境品质能继续使用,而能维持所需要的效能及承受能力。一个有效的维护计画体系是必须建立的 2 在建筑空间之问题改善、治疗与修复执行中,是一个精确与技术性的事项,其中包含找出问题、确定原因、评估结构应力强度、评估环境品质、评估修复与改善必要性、选择及执行一个适当的过程。其改善与修复也必须尊重建筑空间原有色彩与形貌,并保留原有记忆及文化。 3 在临床诊断中空间环境品质中,物理性环境问题与结构构件缺陷必须分别判断,诊断建筑空间之结构与空间舒适品质必须详细观察其症结性问题,才能发现任何隐藏及有潜伏性缺陷的原因。建筑本体诊断是观察出建筑本体之破坏原因,而是内外空间环境诊断目的在於的找出影响健康因素之症结性问题。 4 建筑本体与空间环境之预防评估目的为降低与抑制问题的再发生。然而,自然力的破坏与人为使用因素皆是影响建筑生命期之主要因素,找出病源问题就如同医生对病人的处理,包含了侦查、诊断、治疗以及预防。 5 本研究以外墙材料热传导率测试结果发现,屋面与东西向立面是承受辐射热最多的地方,尤以 RC 的建筑更甚,不透明部分的外壳能特性主要与壁体的热传透率即隔热能力有关,但是承受来自日射的吸热影响,因此增加隔热性能与降低日射吸热因子是对温热环境是非常重要的。

The effective prediction space concept is established, On the base of these, this paper deduces two representations' evaluating equation, one evaluates the prediction error and the other evaluates the prediction error in limited space. First, the error transfer characteristic among subsystems at different space locations is analyzed, and the direct transfer characteristic from discrete standard measure space to the workpiece measure space under measured in measure system is proven. Second, the error reconstruction condition and method of mapping from discrete standard measurement system to continuous standard measurespace are analyzed.

分析了不同空间位置子系统间的误差传递特性,证明了在测量系统中离散标准量值空间向被测量工件量值空间的直接传递性;分析了离散标准量系统向连续量值空间映射的误差重构条件和方法;基于测量样本的有限距离的平稳性,证明了预报模型对动态测量误差的有限收敛性和预报误差的可测度性,进而证明了以离散标准量值系统对被测工件预报修正的可行性和合理性。

Using a large data set of 1 894 images,we examine whether the colorspace transformation can increase the compactness of skin distribution and the discriminability between skin and nonskin distributions in fourteen 3D colorspaces and fourteen 2D chrominance planes.

比较结果表明:(1)颜色空间的变换并不能改善肤色紧致性、肤色-非肤色可分辨性以及分类等性能,但RGB及线性变换空间却具有较好的类可分辨性和分类性能;(2)去除亮度信息将明显降低肤色和非肤色之间的可分辨性和分类性能;(3)Bayes决策下的3维SPM的分类性能是最优和空间无关的,而其余分类器则普遍存在类似的"空间偏好性";(4)同时采用肤色和非肤色模型的分类器的分类性能优于仅使用肤色模型的分类性能。

Firstly,by using the estimating methodfor the compact embedding operators(from weighted Sobolev space to the weighted〓space),we obtain a necessary and sufficient condition for the discreteness of thespectrum of certain differential operators.Secondly,based on the property of thespectrum of difinitizable operators on the Krein space,we consider the left definitedifferential equations with middle deficiency indices,and give a completecharacterization for self-adjoint(J-self-adjoint)differential operators in theindefinite inner product space 〓.Especially,we prove that all the J-self-adjoint differential operators are definitizable.

我们首先运用加权Sobolev空间到加权〓空间嵌入算子紧性的判别方法,证明一类加权自伴微分算子具有离散谱的充要条件;然后,基于Krein空间上可定化算子谱的性质,对于具中间亏指数的左定型微分方程,建立其相应的微分算式在不定度规空间〓上所生成自伴算子的完备性刻画(特别证明了J-自伴微分算子具有可定化性)。

Chapter 4 -rotundity and nearly strict convexity of quotient spaces. It is proved that ifis a -rotund or nearly strict convex Banach space andis a closed and proximinal subspace of, then the quotient spaceis also -rotund or nearly strict convex.

第四章 商空间的-严格凸性和近严格凸性:本章证明了若是Banach空间的任意可逼近子空间,则商空间对原空间的-严格凸性和近严格凸性都具有遗传性。

In the first pa.rt,we clolinc the TC inodnhis of convexity and TC modulus of smoothness of quasi-Baiiach space, and prove that the space which is characterized by uniform convexity is same as the space which is cliaracteri/,ed by uniform TC convcxity.Then we give several characterizations of q-uniformly TC convex quasi-Banach space.At the same time ,we prove the triionned-theorcm.In the second part, we give the relationships between some inequalities of martingales with values in quasi-Banach space and uniformly TC convex quasi-Banach space.

本文分四部分,第一部分在拟Banach空间上定义了TC凸性模和TC光滑模并证明了在Banach空间上它分别和一致凸性和一致光滑性刻划的空间是一致的,即Banach空间X是一致TC凸的的充分必要条件是它是一致凸的,Banach空间X是一致TC光滑的充分必要条件是它是一致光滑的,还分别得出了判定一致TC凸和一致TC光滑的几个充分必要条件,同时还证明了在拟范数下的重赋范定理。

In this paper, we first give an example that the bilateral weighted shift operator in c_0space is hypercyclic operator and first solve the existence problem of hypercyclic operator in c_0or c_0(Z space . And then we investigate the property of weighted shift operator in c_0 space and an important property of the hypercyclic vector of weighted shift operator in c_0 space and c_0 space. At last we give the concept of weak hypercyclic operator and weak hypercyclic vector , and give the equivalence between the weak hypercyclicity and the hypercyclicity in l~1 space.

本文首先给出了c_0空间上的一个双边左加权移位算子是超循环算子的一个例子,首次解决了c_0 或c_0(Z 空间中超循环算子的存在性问题;接下来分别研究了c_0和c_0空间上的加权移位算子的性质以及c_0和c_0空间上的加权移位算子的超循环向量的一个重要性质,最后提出了弱超循环算子和弱超循环向量的概念,并且给出了I~1空间中弱超循环性与超循环性的等价性。

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推荐网络例句

I didn't watch TV last night, because it .

昨晚我没有看电视,因为电视机坏了。

Since this year, in a lot of villages of Beijing, TV of elevator liquid crystal was removed.

今年以来,在北京的很多小区里,电梯液晶电视被撤了下来。

I'm running my simile to an extreme.

我比喻得过头了。