It is designed to determine whether you are comfortable enough with the language of set theory to begin the study of topology.
它是用来考察你们对集合论语言是否足够适应以便开始学习拓扑学。
Mathematicians typically justify their fundamental axioms, in particular those of set theory, by informal appeals to the imagination.
数学家就是个典型，他们会通过想象来证实基本原理尤其是集合论。
In discussing any branch of mathematics, be it analysis, algebra, or geometry, it is helpful to use the notation and terminology of set theory.
在讨论数学的任何分支时，无论是分析，代数或分析，利用集合论的记号和术语是有帮助的。
According to the characteristic of natural language understanding in mathematics domain and the idea of set theory, made a thorough analysis on collective structures.
根据数学领域自然语言理解的特点，结合集合论的思想深入分析了集体词结构。
In control problems the uncertain variables are often bounded, thus uncertainty can be spoken of as "sets" and uncertain systems can be studied by the methods of set theory.
控制问题中不确定因素的变化范围通常是有界的，因此可把不确定性描述为“集”，从而能用集合论方法讨论不确定性系统。
Some properties of set theory of the proposed approach are discussed. The ambiguity with a given output class is estimated with two methods of the distance measure and the entropy measure.
讨论了其中的一些集合理论性质，并对输出类别的模糊粗糙性给出了距离度量和熵度量两种模糊度量方法。
The universal set seemed extremely natural and obvious, yet ultimately several paradoxes of set theory were traced to the assumption that it existed, which mathematicians now know is flawed.
全集看起来非常自然和显然，但是最终集合理论的几个矛盾可以追溯到存在全集这个假设，现在数学家们知道而这个假设是有缺陷的。
Based on inclusion exclusion principle of set theory, a new algorithm to calculate the whole projective area was put forward to those overlapped complex geometrical objects in any direction.
在此基础上，根据集合论中的包含互斥理论，提出了一种求取多个复杂几何形体在任意方向的投影面积的新算法。
This set of alternatives is simply "given;" the theory does not tell them how this set of alternatives is obtained.
这个选项集合是简单“给定的”；理论并没有告诉他们这个选项集合是如何得到的。
A reader of your article must be able to walk away with a set of actions to perform, a new theory to think about, or a thought-provoking question to answer.
在看完您的文章之后，读者应该能去实施行动、思考理论、或是能够知道一个发人深省的问题的答案。
In "the Audacity of Hope", the bestseller Mr Obama wrote as a senator in 2006, he set out a theory of military intervention.
2006年作为议员的奥巴马写的畅销书“无畏的希望”中，他为军事干涉列出了理论依据。
What game theory offered was a specification of a set of feasible outcomes -- the "solution" of the game.
博弈论提供的只是对一个可能结果——即博弈的“解”——的集合的详细说明。
Science requires having a prediction, a hypothesis, about what will happen-based on theory, a set of assumptions.
科学需要对结果有一个预测，或是猜想，这是建立在基于一大堆推断的理论之上。
The theory predicts that from nothing springs an infinite number of universes, each ruled by its own unique set of physical laws.
这个理论预言从“无”中会产生出无限多个宇宙，而每个宇宙都被各自独有的一系列物理法则所支配。
I know he is to spread his that a set of all living things equality theory.
我知道他又在宣扬他的那一套众生平等的理论了。
The researchers suggest a new measure of happiness that takes into account both set-point theory, as well as lifestyle, preferences and choices.
研究人员还建议了一种新的测量幸福感指数的方法：将设定点理论与生活方式、偏好、抉择等这些因素一起纳入考量的范围。
Depending how you set it up, M-theory can describe any of 10500 universes.
如何建立M理论，决定了如何描述每种10500宇宙。
Then Einstein, with his special theory of relativity, looked at a whole set of symmetries of Maxwell's equations, which are called special relativity.
接着爱因斯坦提出了狭义相对论—一种更简明的公式，它更体现了对称性。
This paper discusses a new intelligent control method called rough control, and presents the basic concepts of rough set theory.
本文讨论了一种新型的智能控制方法—粗糙控制，介绍了粗糙集合理论的基本概念。
The widely accepted "set-point" theory of happiness says that an individual's long-term happiness tends to be stable because it depends mainly on genetic factors.
为公众所广泛接受的幸福“设定点”(set - point)理论认为，个人的长期幸福趋于稳定，因为其很大程度上取决于基因因素。
So it enlarges the application area of rough set theory and provides a new method for modeling in welding area, and has a large potential of wide application.
该方法拓展了粗糙集理论的应用领域，并为焊接建模提供了一种新方法，具有较大的应用潜力。
The equivalence relation is the basic Concept of the rough set theory.
等价关系是粗集理论中的一个重要概念。
This paper briefly introduces the principles and methods of the data mining and the rough set theory, and gives an example on the diagnosis and evaluation of the lung tumor.
本文简要介绍了数据挖掘技术的基本原理和主要方法，以及粗糙集理论的基本原理，并给出了一个利用数据挖掘技术对肺部肿瘤进行诊断评价的应用实例。
The attribute reduction is one of the cores of Rough Set (RS) theory.
属性约简是粗糙集(RS)理论的核心内容之一。
Like its predecessors before it however, the system would never meet its potential due to the design theory of melding a long hull on a short set of tracks.
这种坦克系统的设计理念就是将一个长车厢安装在一组短履带上，但正像CA型坦之前的那些设计一样，这种组装方式未能收到其预期效果。
An example resulting from running is given, which shows the practical significance to the applications of rough set theory.
最后给出实际例子的程序运行结果，对推动粗糙集理论在具体实践中应用和普及，具有实际意义。
Fault diagnosis of the generator set based on fractal theory.
基于分形理论的汽轮发电机组故障诊断。
A bit of background: One early theory, the rate of living theory, held that every organism has a set amount of energy to expend.
一点背景：一个早期的理论-生存成本理论-认为每个有机体有一定数量的能量供消耗。
A bit of background: One early theory, the rate of living theory, held that every organism has a set amount of energy to expend.
一点背景：一个早期的理论-生存成本理论-认为每个有机体有一定数量的能量供消耗。
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