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This kind of problems can be described by the state-space of Co-semigroup in Hilbert space.

这样的系统可以通过Hilbert空间上的C_0算子半群作状态空间描述。

Secondly, it is proved that the solution space of second-order wave equations can form the reproducing kernel Hilbert space H 1 0,+∞.

其次，证明了二阶波动方程的解空间构成再生核空间H 1 0，+∞。

Foreign experts, using the color swatch, 555 on evaluation Lab color space of the results of the rink and Don E and relate to each other and found that the CIE Lab system to 0.72 is evaluated in all color space and Visual feeling seeastigmatism hithermost, and racerunners in the Munsell Color hue trajectory and constant color degree path in a and b revealment improvement is also very close.

国际大师搁置555差色样，评价Lab色不时间的△E与纲测甘休的彼此干系，发掘CIE Lab编制为0.72，是长远所有颜色不时间洋筹算色差和触觉感触最挨近的，与孟塞尔色卡洋恒定色相轨迹和恒定彩量轨迹在a和b二维坐标系的恶化程度也很挨近。

Owing to the monotonic mapping of fuzzy structured element established the homeomorphic property between fuzzy number space and the family of standard bounded monotone function, so, we can transform the study of any properties in fuzzy number space to the corresponding one in the family of standard bounded monotone function, e.g.

本项目针对矿井下采空区岩石陷落形成的多孔隙介质空间的极度不规则性，建立一种以模糊值函数分析学为基础的、更接近于刻划采空区内气体流动实际状况的模糊微分方程及各种边值问题，进而得出解算复杂采场气体模糊渗流问题的数学方法。

Secondly,by reduction to absurdity and the sequentially compactness of the space,the minimality of a homeomorphism on a sequentially compact space is discussed.

其次，利用反证法结合空间的序列紧致性对序列紧致空间上的同胚映射的极小性进行讨论。

On the basis of the definition of the extraordinary Radon transform, the theory of rebuilding image from extraordinary Radon transform result is proposed, and some category such as image structure notation, topology of image structure notation and topological space, homeomorphism in topological space, equivalence of homeomorphism relation, topological constant of image structure notation.

与现有的基于区域内部或外形变换的形状分析方法相比，在理论方法上本质不同的是，本文提出的广义Radon变换，直接将原始的图象数据影射到特征空间，给出图象构图特征的描述，给出了可以用来进行图象检索或图象识别的结构特征谱。

In chapterⅣ, three problems in the velocity space are simulated numerically under the basic presumption that the distribution function is homogeneous in configuration space. The results of numerical simulations demonstrate that the conservation laws of momentum and energy are obeyed accurately.

第四章在"空间均匀分布"的前提下对三个速度空间中的问题作了数值模拟，数值模拟结果表明这种方法能够精确地保证动量及能量守恒。

The step response and impulse response of homogeneous earth half space, marine double half space and four-layer earth models to horizontal electric dipole source were computed in this paper. A concept of transient impulse time was put forward.

本文计算了水平电偶极子源均匀大地半空间，海洋均匀双半空间和海洋四层模型的阶跃响应和冲激响应，提出了瞬变冲激时刻的概念。

It is the main space archetype of the private gardens on the Yangtze Delta, which derives from the space homogeneousness and simultaneity.

镜像空间是江南园林中重要的空间原型，产生于空间的同体性或共时性。镜像空间原型不只与建筑空间有关，它还关联着心理层面。

All of the programs implemented, the Canton City metropolitan area within the scope of 13 key areas, the transport hub of 21 points, 58 passenger distribution point can be incorporated into the net 30 minutes of time and space circle, Nansha, Shunde, Foshan, Nanhai, Dongguan and other places can also be incorporated into the 1 hour time-space circle.

所有程序实施，广东市市区范围内的13个关键领域，在交通枢纽， 21分， 58个乘客分发点可以被纳入净30分钟的时间和空间的圆圈，南沙，顺德，佛山，南海，东莞等地也可纳入1小时时空圈。

Liapunov—Schmidt method is one of the most important method in the bifurcation theory.

Liapunov—Schmidt方法是分叉理论的最重要方法之一。

Be courteous -- even when people are most discourteous to you .

要有礼貌──即使当別人对你最不礼貌的时候。