齐性空间

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。

At many occasions they arise quite natu-rally.For example,they appear in the Iwasawa decomposition of the isometry group ofa non-compact Riemannian symmetric space.Also,every connected homogeneous Rie-mannian manifold of non-positive sectional curvature can be represented as a connectedsolvable Lie group with a left-invariant Riemannian metric.

它们出现在非紧致黎曼对称空间的等距群的Iwasawa分解中；任一非正截面曲率的连通齐性和黎曼流形可以表为带有左不变黎曼度量的连通可解李群等，带有左不变黎曼度量的幂零及可解李群的微分几何，调和分析和谱几何是重要的研究课题。

What differ from that of the researchers in the past is the consideration of the direction of Hopf bifurcation with Dirichlet boundary condition , that is, the conditions when the Hopf bifurcation periodic solutions are orbitally asymptotically stable with asymptotic phase.Our basic idea come from the results given by Tang[30]. We adopt the method used by Hassard in the Hopf bifurcation theorem in [24], which is to judge the existence and the direction of Hopf bifurcation, and the stability of the Hopf bifurcation periodic solutions.

与以前的研究者不同的是，本文不仅讨论了在Dirichlet边界条件下系统的Hopf分支在以扩散系数为分支参数的情况下的存在性和分支周期解的空间非齐次性，而且更多的关注了系统在Dirichlet边界条件下Hopf分支解的稳定性及Hopf分支的方向，也即系统定态解在何种条件下，当分支参数如何变化时产生Hopf分支且分支周期解是带渐近位相轨道渐近稳定的。

By Llibre's algebraic invariant theory, at first on the basis of classification for quadric and quadric homogeneous binary polynomial, the plane linear and cubic homogeneous polynomial differential systems are classified.

利用Llibre的代数不变式理论，首先由二元二次和二元四次多项式的分类结果，对一次和三次齐次多项式微分系统进行代数分类，同时补充了已有结果中出现的漏洞；其次，由称共变张量空间的性质，对缺二次项的三次微分系统在保证轨线走向不变的前提下进行代数分类，使分类后同类系统的示性多项式有相同零点；最后通过讨论一类简单系统的有界性说明了分类的方便方处。

Painted in Paris in the summer of 1939, this picture gathers elements from different worlds into one homogeneous space.

在巴黎画在1939年夏，这图片收集到一个齐性空间，从不同的世界的元素。

Are also given by constructing Lyapunov function. Finally, by applying the energy methods, Sobolev embedding theorems and bootstrap arguments, the global existence of nonnegative classical solutions to equations with homogeneous Neumann boundary value condition is proved when the space dimension is at most 5. Under certain conditions for the coefficients of the reaction functions, the convergence of the solutions is established for the system with large diffusion coefficients by constructing Lyapunov function.

的正平衡点全局渐近稳定的充分条件；最后，当空间维数不超过5时，应用能量估计、Sobolev嵌入定理和bootstrap技巧证明在齐次Neumann边值条件下非负古典解的整体存在性，并通过构造Lyapunov函数给出当反应函数的系数满足一定条件、扩散系数较大时该模型解的收敛性。

Therefore, the concepts of the particular solution and homogeneous solution are used to develop the multi-dimensional wave model.

因此，本文引进了特解与齐性解的概念，发展出高维度空间之波动模型。

In this project, we study the theory of higher order differential equations in Banach spaces and related topics. We solve an open problem put forward by two American Mathematicians and two Italian Mathematicians concerning wave equations with generalized Weztzell boundary conditions, introduce an existence family of operators from a Banach space $Y$ to $X$ for the Cauchy problem for higher order differential equations in a Banach space $X$, establish a sufficient and necessary condition ensuring $ACP_n$ possesses an exponentially bounded existence family, as well as some basic results in a quite general setting about the existence and continuous dependence on initial data of the solutions of $ACP_n$ and $IACP_n$. We set up quite a few multiplicative and additive perturbation theorems for existence families governing a wide class of higher order differential equations, regularized cosine operator families, regularized semigroups, and solution operators of Volterra integral equations, obtain classical and strict solutions having optimal regularity for the inhomogeneous nonautonomous heat equations with generalized Wentzell boundary conditions, gain novel existence and uniqueness theorems,which extend essentially the existing results, for mild and classical solutions of nonlocal Cauchy problems for semilinear evolution equations, present a new theorem with regard to the boundary feedback stabilization of a hybrid system composed of a viscoelastic thin plate with one part of its edge clamped and the rest-free part attached to a visocelastic rigid body. Also we obtain many other research results.

在本研究中，我们对Banach空间中的高阶算子微分方程的理论以及相关理论进行了深入研究，解决了由美国和意大利的四位数学家联合提出的一个关于广义Wentzell边界条件下的波动方程适定性的公开问题，恰当地定义了Banach空间中的高阶算子微分方程Cauchy问题的算子存在族及唯一族，建立了齐次和非齐次高阶算子微分方程Cauchy问题适定性的判别定理，获得了关于高阶退化算子微分方程的算子存在族、正则余弦算子族、正则算子半群、Volterra积分方程解算子族的乘积扰动和混合扰动定理，得到了关于以依赖于时间的二阶微分算子为系数的一大类非自治热方程非齐次情形下的时变广义Wentzell动力边值问题的古典解、严格解的最大正则性结果，获得了半线性发展方程非局部Cauchy问题广义解和经典解存在唯一的判别条件，从实质上推广了现有的相关结果；得到了一部分边缘固定而另一部分附在一粘弹性刚体上的薄板构成的混合粘弹性系统的边界反馈稳定化的新稳定化定理，还建立了一系列其他研究结果。

Zhuangzi gives the catholicness in space and the infinity in time, thus deepening the orderliness in the philosophy of Laozi.

赋予&道&空间上的遍在性与时间上的无始终性或无限无穷性，以及依据&天均&、&大理&等深化老子&道理&而有的&齐物论&义。

Since the commutators of both sing-ular integral operators and fractional integral operator with BMO functions areone of the special cases of〓,so the discussion of the boundedness of〓notonly gives a new proof of the boundedness of the two commutators,but al-soweakens some of restrictions into discuss the problem,thus it impro-vessome of results inwith the method of complex analysis,show-ed boundedness of〓,then directly obtained boundedness of the commutato-rs of fractional integral operator with BMO functions.

既然奇异积分算子和分数次积分算子与BMO函数的交换子是其特殊情形，所以〓的有界性的讨论不仅给出了中关于这两类交换子有界性的一个新的证明，而且减弱了中讨论这一问题时对齐型空间所作的限制，从而改进了中的结果（利用复分析的方法，先证明〓的有界性，从而直接得到分数次积分算子与BMO函数的交换子〓的有界性。

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。