查询词典 countable infinity

At last, the isochronous center of infinity of a class of quintic systems is studied and all conditions of center and isochronous center are obtained for infinity of this system, which is the first time for the research on the isochronous center of infinity.

最后，研究了一类实平面五次系统的无穷远点的等时中心，给出了系统无穷远点为中心和等时中心的全部条件。这是迄今对无穷远点等时中心进行的首次研究。

The main results in this chapter are as follows:Theorem 2.1.2Let〓be a countable atomic model.If〓is infinite,then〓is a countable atomic model.

本章的主要结果有：定理2.1.2若〓是可数的原子模型，〓不是〓的代数公式，则〓也是可数的原子模型。

To obtain the function and imbedding properties about relative countable tightness spaces,in this paper the question whether the relative countable tightness space can be adversely preserved by a closed map is studied by means of function and imbedding theories.

为了得到相对可数紧度空间的映射及嵌入性质，借助映射方法和紧化理论讨论了相对可数紧度空间被闭映射逆保持问题及嵌入紧空间问题，得到了相对可数紧度空间被闭映射逆保持的一个充分条件、局部紧的可数紧度空间可嵌入紧空间的几个充分条件以及某一类局部紧空间在任意紧化中不具有可数紧度等结果。

Used before an un countable noun to refer to a countable meaning of noun.

用在不可数名词前，使该名词作为可数名词的用法。

In chapter 2, we prove that sn—first countable spaces are preserved by the finite subsequence-covering mappings.By this result, we prove that the finite subsequence-covering, quotient mappings preserve g—metrizable spaces, also prove that the finite subsequence-covering, closed mappings preserve sn—metrizable spaces, g-metrizable spaces, metrizable spaces, point-countable bases.

在第二章中，我们主要证明了有限子序列覆盖映射保持sn-第一可数空间，作为它的应用，又证明了有限子序列覆盖、商映射保持g-第一可数空间，也证明了有限子序列覆盖闭映射保持sn-度量空间，g-度量空间，度量空间，点可数基。

Theorem 2.1.11 Let T be〓-categorical.Then for any formula〓,fractiontheory〓is either〓-categorical,or has exactly countably many countable models up toisomorphism.Moreover,all these countable models are〓-homogeneous.

定理2.1.11 若T是〓范畴理论，则任给公式〓，分式理论〓或者是ω-范畴理论，或者只有可数多个可数模型并且这些可数模型都是可数地齐次模型。

The question on potential infinity and actual infinity in the objective of cognition, involved by the two paradoxes, is still a challenge in academic community.

这两个悖论所涉及的认知对象之潜无限和实无限的问题，至今仍是学界研究的难题。

With the idea and the technique of the newly constructed basitheoryology ~ [1] , this article discusses two different concepts of infinite set existing in present set theory: potential infinity and actual infinity.

从新构建的基础理论学的角度，以全新的基础理论学的方法[1]，讨论同时存在于现有集合论中两种性质上截然不同的"无穷集合"概念：潜无穷式的与实无穷式的无穷集合。

Thus, the study connecting the two and the review in terms of the property of pragmatics of logical paradoxes will help furthering the modern philosophical epistemology, especially the knowledge of potential infinity and actual infinity, and even the creation of specific scientific theories.

以逻辑悖论的语用学性质重新审视这两个古老悖论，并作贯通研究，对于推进当代哲学认识论特别是对潜无限和实无限问题的认识，乃至于推动具体科学理论创新都具有重要的认知价值。

To place the infinity here below in contact, by the medium of thought, with the infinity on high, is called praying.

让下面的这个无极通过思想和上面的那个无极发生接触，那便是祈祷。

I hope that this success is just the first in a long series.

我希望这只是成功的开始。

Three dimensional stresses on the interface of tire and soil, tire deflection and soil sinkage are measured.

测试轮胎——沙土界面上的三向应力、轮胎变形和沙土沉陷；建立考虑剪切应力对沙土承载特性产生影响的车轮牵引性能预测模型；分析车轮作用下土壤的纵向稳定性。