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It can be considered that there are separate 0 space, entity space,∞ space, imaginary number space and assembled space, etc.

可以认为,科学上存在单独的0空间、实体空间、∞空间、虚数空间,及组合空间等。

Three counter-examples of topological space are proposed in this study: There are two metric spaces, X and Y, in which and are isometric, whileand are not isometric; Non-metric tight regular space is a counter-example of the separation of topological space; No non-zero continuous linear functionals of the linear topological space is a counter-example of linear topological space.

这里给出三个反例,存在两个度量空间X与Y,使X^2与Y^2等距而X与Y并不等距是拓扑空间中的反例;存在不可度量化的紧的完全正规空间是拓扑空间分离性的反例;不存在非零连续线性泛函的线性拓扑空间是线性拓扑空间的反例。

In this paper, a varieties of concepts of compactness of sets and sunsets are introduced in a complex locally convex space, which are respectively the generalizations of the known sunsets and convex sets. By establishing the relationship between restricted p-centers of a set in a complex locally convex space and restricted Chebyshev centers of the corresponding set in the quotient space with respect to ker, characterizations and uniqueness of restricted p-centers of sets in a complex locally convex space are obtained. These results are better than any other known ones when we restrict them in real normed linear spaces and real locally convex space.

本文首先在复局部凸空间中引入了几种紧性及几种太阳集的概念,它们分别是已有紧性和凸集概念的推广;然后通过建立局部凸空间中集的限制p-中心和关于ker的商空间中对应集的限制Chebyshev中心的关系,来研究局部凸空间中集的限制p-中心问题,本文即使是在实赋范空间和在实局部凸空间中所得的结果都分别是有关已知结果的深化和推广。

In chapter one,the backgrounds and current situation of operator theory in Banach space are introduced and the preliminaries of Banach space are given.In chapter two,we study the existence and uniqueness of fixed point for decreasing strict-set-contraction operator in product space.Under the weak continuous condition,we obtain the existence and uniqueness of fixed point for decreasing operator and we give an application of these results; In chapter three,we get several positive fixed point theorems of decreasing operator and the existence and uniqueness theorems of positive fixed point for operator C=A+B,C=D-A in real Banach space where the order is decided by a normal cone; In chapter four,we obtained some existence and uniqueness theorems of fixed point for some mixed monotone operators in semi-ordered Banach space.

在第一章中,主要介绍了半序Banach空间非线性算子的研究历史背景、现状以及半序Banach空间中的预备知识;在第二章中,我们利用半序方法研究了Banach乘积空间中严格集压缩减算子不动点存在唯一性问题,在弱连续的条件下,得到了不动点的存在唯一性和迭代收敛性,同时,给出了它们的一些应用;在第三章中,我们建立了拟弱连续减算子的正不动点定理,并证明了算子C=A+B,C=D-A的正不动点存在唯一性定理;在第四章中,我们得到了半序Banach空间中混合单调算子的不动点存在性及唯一性定理。

The first is that a symplectic structure or a Poisson structure exists on the even dimensional phase space or on the odd dimensional phase space of the corresponding equations. The second is that there is another symplectic structure or another Poisson structure on the generalized phase space which consists of original phase space and independent variable space.

第一、系统在相空间上存在一个一般辛结构或者Poisson结构;第二、系统整体在包括了自变量的增广空间上存在一个一般辛结构或者Poisson结构;第三、第一个结构若是依赖于自变量,那么系统必然受到外力作用(偏微分方程也有特殊的情形,我们在第五章会加以说明),而第二个结构的则给出了第一个结构和外力之间确切的对称关系。

In western painting it came from the primitive society when a few space factors appeared in the mural paintings sketched out by single line, the Greek bottle picture with the simple perspectivity, the Rome mural painting in which the perspectivity was originated, the Middle Ages when the perspectivity develop relatively slowly, the Renaissauce when the perspectivity highly developed, the Post Impressionism when Cezanne reformed the structure of space subjectively and orderly to open the gate of Modern Art, the 21 Century when the space was des-constructed and the idea of space developed pluratislically, at last the beginning of Actionism , to reach the end of the development of the space in painting, so to achieve the return from the three-dimensional illusion to the reality.

西方绘画由原始社会单线勾勒的壁画中极少的空间因素的运用,继而希腊瓶画中简单的透视。罗马时期透视法的萌芽,中世纪的相对滞缓的发展,文艺复兴时期对自然完善的表现至塞尚,则开启了现代艺术中空间主观化、秩序化的先河,进而出现二十世纪绘画空间解构、重组、多元化发展的状况,行为艺术的产生,实现了绘画空间由三维幻象到真实的还原,成为西方绘画的空间发展历程的终结点。

By analyzing the collected data of the outdoor leisure space for old people all over the world, the effect of gardening design on the lives of old people is generalized. Some typical inhabited regions are investigated with questionnaire, photographing and visitation. By analyzing and investigating the breathing space, the rest space, the walking space and the reforest space, the shortages are also putted forward.

并运用问卷调查、访谈、拍照等方式,对选定的几个典型的居住区进行实地调查,通过对居住区户外环境中的活动空间、坐息空间、步行空间以及绿化空间进行分析与研究,提出其应改正的不足,在总结出武汉市老年人的活动特点的同时,提炼出创造一个既适宜普通居民的现代居住需求,又能体现出对老年人亲切关怀的户外环境设计方法。

At the every relative momentary point of time time-space, is to the situation of observe identity mutuality gravitation and space-energy quantum spatial measurement cosmic energy at relatively determine, namely to the difference of quantity quantum of the original spatial measurement and the spatial measurement limit of cosmic energy, to the quantity of quantum spatial measurement cosmic energy, to the situation of spatial measurement and spatial curvature relative time-space cosmic energy, to the difference of spatial measurement of the gravitation exceed the space-energy of quantum spatial measurement cosmic energy, to the situation of the average density spatial energy and the temperature spatial background of relative time-space cosmic energy, to the situation of spatial measurement and spatial curvature relative vacuum cosmic energy all at relatively determine.

在时空时间的每一个相对时刻点,是对宇宙能量的宇称量子的引力与空间能的守恒状况的相对确定。即是对宇宙能量的原初宇称量子与极限宇称量子的数量差,宇宙能量的宇称量子数量,宇宙能量的相对时空的宇称及空间的曲率状况,宇宙能量的宇称量子的引力大于空间能的宇称差,宇宙能量的相对时空空间的能量平均密度及空间的背景温度状况,以及对宇宙能量的相对真空的宇称及空间的曲率状况全都在相对地确定。

Cosmic space-energy and cosmic gravitation pair is such coincidence, the spatial measurement of stable relative time-space cosmic energy is the 1/3 spatial measurement of cosmic time-space, the spatial curvature of stable relative time-space cosmic energy is the 2/3 spatial measurement of cosmic time-space.

宇宙空间能与宇宙引力的匹配是那样的吻合,宇宙能量的稳定相对时空的宇称为宇宙时空宇称的1/3,空间的曲率为宇宙时空宇称的2/3。

According to the effect of relative permittivity εr on the pulse propagation velocity in lossy dielectric space and the effect on the turnround time of signal between the antenna and the buried objects, it is presented that lossy dielectric space can be transformed into free space and the simulation results abtained from free space can also be amended to lossy dielectric space.

对探地雷达的微波全息成像法进行了分析研究,根据有耗介质空间中的εr 对脉冲传播速度的影响,以及对脉冲在收发天线与目标之间的往返时间的影响指出:可将有耗介质空间转化到自由空间,再将自由空间中的计算结果修正到有耗介质空间。

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推荐网络例句

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。

Tristan, I have nowhere to send this letter and no reason to believe you wish to receive it.

Tristan ,我不知道把这信寄到哪里,也不知道你是否想收到它。