查询词典 topologically complete space

The results prove that T*1 S-closed space and T2 S-closed space are identical and that the regular S-closed space and normal S-closed space are the same. Therefore, to make T*1 space X become the complete conditions of S-closed space is the X extremely unconnected H-closed space, while S-closed space X can be measured as the complete condition X of S-closed T1 normal (A1) space.

首先讨论了S-闭空间的分离性，证明T*1型的S-闭空间与T2型S-闭空间是相同的，正则的S-闭空间与正规的S-闭空间是相同的，从而得到要使T*1型空间X成为S-闭空间的充要条件是X为极不连通的H-闭空间， S-闭空间X可度量化的充要条件是X为S-闭的T1型正则(A1)空间。

For example, U-space is uniformly regular and which makes it has fixed point property, U-space is uniformly non-square and thus super-reflexive, uniformly convex space and uniformly smooth space are U-spaces, and an Banach space is an U-space iff its dual space is U-space, etc. In1990s, a lot of work had been done on U-space theory, e.g., Tingfu Wang and Donghai Ji introduced the concepts of pre U-property and nearly U-property. Under the structure of Orlicz space, they made systematic investigation of these properties, and gave the criteria for an Orlicz space to have U-property.

U-空间具有一致正规结构进而具有不动点性质；U-空间是一致非方的，进而也是超自反的；一致凸空间和一致光滑空间是U-空间；Banach 空间为U-空间的充要条件是其对偶空间为U-空间，等等。20世纪90年代，国内外学者对U-空间理论做了很多工作，王廷辅，计东海等人先后引入了准U-性质与似U-性质的概念，并在Orlicz空间框架下对有关性质进行了系统研究，完整给出了Orlicz空间具有各种U-性质的判据。

By describing Pythagorean theorem, the first time-space view explain the plane-line thought which impacts human's thinking manner; the second time-space view is absolute time-space theory of Newton and three-dimensions space-time view intersected by space-time; the third space-time view is curve space-time view which is generated from Einsteinian relative theory. The fourth space-time view is the directional, irreversible entropy time-space thought; the fifth time-space view is dense time-space view of cracked fractal generated from chaos-fractal theory.

第一时空观是通过对勾股定理的描述来说明影响人们思维方式的平直时空观；第二时空观是牛顿的绝对时空理论，是时空分割的立体三维时空观；第三时空观是爱因斯坦的相对论理论所带来的弯曲时空观；第四时空观是具有方向不可逆的熵时空观；第五时空观是混沌与分形理论所带来的破碎分形的稠时空观。

In terms of subshifts of finite type determined by an irreducible marrix, affine maps of compacted connected metric abelian group and continuous maps of tree, the two concepts of topologically ergodic map and topologically transitive map are identical.

指出对于由不可约方阵所决定的符号空间有限型子转移而言，或紧致交换群的仿射变换及树上连续自映射而言，拓扑遍历与拓扑可迁这两个概念是一致的。

Traditionally, a surface is usually scatted in an array of 3D data points which are topologically connected by rows and columns to form a rectangular mesh. This method can't meet the requirement of description and measurement for some complex surfaces. On the basis of tracing border points, a new method is proposed to deliver 3D data points of surfaces, which are topologically constructed with optimum rectangular and triangular mesh. In order to measure surface efficiently and safely with NC machine, an optimization of measurement paths is proposed to avoid interference between the measuring tool and the surface with holes. The curve design is the basis of surface modeling.

数控测量技术的发展为测量自动化、集成化、智能化提供了可能，而对于复杂曲面的自动测量规划则是测量技术中的难点问题，平行截面等数目测点分布和四边拓扑测点分布规划方法，不论在测点分布的合理性上还是在网格结构的优化方面，均难以满足形状或边界较复杂曲面的离散化描述和曲面造型的要求，为了实现任意拓扑曲面的自动测量，本文对复杂曲面的合理离散化描述和自动测量问题进行了研究，提出了基于边界跟踪、优化网格的测点自动分布规划和四边、三角混合网格的生成方法：同时对具有孔洞或测量干涉凸台等非完整曲面的测量路径优化问题进行了研究，提出了路径优化方法。

We shall use the results in [2] to study the properties of topologically ergodic maps and topologically double ergodic maps.

本文在[2]的基础上进一步讨论拓扑遍历与拓扑双重遍历映射的性质。

Armour rods (to be installed in suspension clamps) Parallel clamps Sub-Total, items 4.1-4.7 OTHER HARDWARE Counterweights for jumper or suspension insulator strings, including necessary device for attachement 50 kg 100 kg Sub-total, item 5.1 – 5.3 SPARES Insulator Units Type U160 Type U210BS Hardware for Conductor ACSR-BISON Complete set of hardware and fittings for suspension string Complete set of hardware and fittings for tension string Complete set of hardware and fittings for jumper string Complete set of hardware and fittings for transposition string Extra suspension clamps Extra tension clamps Extra tension joints Extra repair sleeves Extra vibration dampers Extra armour rods Extra spacers: for span for jumper alternatively spacer dampers Hardware for Earthwire 7 No. 6 AWG Complete suspension set Complete tension set Vibration dampers, Stockbridge type Extra tension clamps Extra tension joints Extra vibration dampers Extra parallel clamps Extra armour rods Hardware for Earthwire 7 No. 6 AWG Complete suspension set Complete tension set Vibration dampers, Stockbridge type Extra tension clamps Extra tension joints Extra vibration dampers Extra parallel clamps Extra armour rods Sub-Total, items 6.1-6.4 Sub-total, Items 1.4, 2.7, 3.8, 4.8, 5.4 and 6.5 Transfer to Summary, Schedule AS-1

装甲棒 平行夹具小计，项目4月1号至4月7号其他硬件重物跳线或中止绝缘子串，包括必要的设备attachement 50公斤 100公斤小计，项目5月1号至5月3号备件绝缘子单位型U160 类型U210BS 硬件导体钢芯铝绞线，拜森一套完整的硬件和配件的暂停字符串一套完整的硬件和配件的紧张字符串一套完整的硬件和配件的跳投字符串一套完整的硬件和配件的转字符串额外的悬浮夹额外的紧张局势夹额外的紧张关节额外的修理袖子额外的振动阻尼器额外的装甲棒额外的间隔：为跨度跳线或者间隔减震器硬件Earthwire 7特设工作组第6号完整的悬挂设定一套完整的紧张局势振动阻尼器，斯托克型额外的紧张局势夹额外的紧张关节额外的振动阻尼器额外的平行夹具额外的装甲棒硬件Earthwire 7特设工作组第6号完整的悬挂设定一套完整的紧张局势振动阻尼器，斯托克型额外的紧张局势夹额外的紧张关节额外的振动阻尼器额外的平行夹具额外的装甲棒小计，项目6月1号至6月4号小计，项目1.4 ， 2.7 ， 3.8 ， 4.8 ， 5.4和6.5 （换乘摘要，附表1 仅供参考

In this paper,the nonstandard analysis theory is used for inducing a metric space by a Loeb measure space.On this basis,a metric space is induced by a internal finitely additive measure space.The close relationship between the metric space induced by a Loeb measure space and the metric space induced by a internal finitely additive measure space is illustrated with the concepts and some properties of Loeb measure.Then,some properties of the metric space that induced by a internal finitely additive measure space are studied.In the first two chapters,we first Succinctly present the origin,development and research states of the nonstandard analysis.Then,the theoretical foundation of nonstandard analysis as well as the axiomatic nonstandard analysis are given.Finally, the nonstandard model and the saturation model are discussed,as well as some natures of the nonstandard model and several equivalent conditions of saturation model are given.

本文利用非标准分析理论，在由Loeb测度空间导出度量空间的基础上，由内有限可加测度空间导出了度量空间，并借助Loeb测度的概念和若干性质证明了由标准的测度空间导出的度量空问和由内有限可加测度这个非标准的测度空间导出的度量空间有着密切的关系，在此关系的基础上还研究了由有限可加测度这个非标准的测度空间导出的度量空间的性质在第一、第二章里，我们首先简单介绍了非标准分析的产生、发展及研究现状，接着给出了非标准分析的理论基础以及公理化的非标准分析，进而讨论了非标准模型和饱和模型，并给出了非标准模型的一些性质和饱和模型的若干等价条件。

Regarding (6) type, when tradition Time variable t is two spatial vectors (+ psi 1i) and (- psi 2j) Crossed products v also is not 0, it (x1, x2, x3) differs 90 compared to on speed with the three-dimensional space in the space by the pure imaginary number attribute, I=e^I pi, therefore it Number space has in the physical property with the dot product constitution the difference, because Crossed products psi 1i (X psi 2j extremely small visible it is equal to zero under the conventional speed, but is very big in the object movement speed time, Crossed products psi 1i (X psi 2j in the physical quantity and for the quantum mechanics in may not to the easy quantity, its space and the conventional space is different, the performance is intrinsic or the interior space If the definition vector (+ psi 1i) and (- psi 2j) the dot product constitutes the three-dimensional space (x1, x2, x3) is exterior space, but the three-dimensional space which (+ psi 1i) and (- psi 2j) Crossed products constitutes by the vector is the internal space, contrasts its component

对于⑥式，传统时间量t为两个空间矢量(+ψ1i)与(-ψ2j)的叉积比上速度v且不为0，其与三维空间(x1，x2，x3)在空间上相差90度以纯虚数表征，I=e^Iπ，故其与点积构成的实空间有物理性质上的不同，因为在常规速率下叉积ψ1i(Xψ2j非常小可视其等于零，而在物体运动速率很大时，叉积ψ1i(Xψ2j之中物理量与则为量子力学中的不可对易量，其空间与常规空间不同，表现为一个内在或内部性空间。若定义矢量(+ψ1i)与(-ψ2j)点积所构成的三维空间(x1，x2，x3)为外部空间，而由矢量(+ψ1i)与(-ψ2j)叉积而构成的三维空间为内部空间，对比其分量

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"Yes, now you can give yourself airs," she said, you have got what you wanted.

"对了，您现在高兴了，"她说道，这是您所期待的。

Then the LORD said to me: Rebel Israel is inwardly more just than traitorous Judah.

上主于是对我说：＂失节的以色列比失信的犹大，更显得正义。