1 | The problem is akin to what happened in early set theory. | |
2 | The problem is akin to what happened in early set theory. | |
3 | There are contradictions in current theories of real number and ZFC. | |
4 | 经典集合论中,一个普通集合就是指某些元素组成的整体。
In classical set theory, an ordinary set is a unified whole which is composed of some elements. | |
5 | “知识集合论”的概念具有模糊性、宽泛性,因此对图书馆缺乏专指性。
Because of the distinctness and broadness of the concept of knowledge set theory, it does not disclose the essence of libraries. | |
6 | 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。
It is designed to determine whether you are comfortable enough with the language of set theory to begin the study of topology. | |
7 | 该课程主要介绍逻辑学、集合论、代数系统以及图论的基本概念及其方法。
It mainly introduces basic concepts and basic methods in logic, set theory, algebraic system and graph theory. | |
8 | 然而,事实并非如此,在模糊集合论中正是可信性测度才扮演了概率测度的角色。
However, it is the credibility measure which plays the role of probability measure in fuzzy set theory actually. | |
9 | 这套最小化的假定,可望能以比现在更自然更令人信服的方法解决集合论中的悖论。
One effect to be hoped for, in such a minimization, is a more natural and conclusive solution than we now have for the antinomies of set theory. | |
10 | 本文从集合论的角度建立了模糊掩模的数学模型,认为模糊掩模是传统掩模的自然扩展。
As a mathematical model created based on the set theory, fuzzy masking can be treated as a natural extention of the traditional masking. | |
11 | 对公理的试图证明,又类似地建立了对应的非欧几何学与非康托集合论的新领域。
So, they try to prove axiom and also established similarly two new opposite field: non-Cantor's set theory and non-Euclidean geometries. | |
12 | 根据我得经验,学生觉得,在代数课开始时学习的集合论预备知识是整个课程中最让人扫兴的部分。
It is my experience that students find a study of "set-theoretic prerequisites" at the start of an algebra course the most discouraging part of the whole course. | |
13 | 应用螺旋理论与集合论原理,按照支链并联、回路耦合的观点,进行少自由度并联机器人构型特征的研究。
Based upon screw theory and set theory, the structural characteristics of lower-mobility parallel robots was studied via the union of limb constraints and the coupling of loop over-constraint. | |
14 | 数学形态学是从集合论和积分几何学发展起来的,数学形态学完全在时域对信号的波形进行分析,并不涉足频域分析。
Mathematical morphology (MM) is developed from set theory and integral geometry, and is concerned with the shape of a signal waveform completely in the time domain rather than the domain frequency. | |
15 | 例如,看一下十九世纪与二十世纪之交由于罗素悖论和集合论的其他矛盾的发现在数学基础中突然引起的危机。
Consider, for example, the crisis which was precipitated in the foundations of mathematics, at the turn of the century, by the discovery of Russell's paradox and other antinomies of set theory. | |
16 | 对于模糊性,人们用模糊数学作为工具来研究,在经典模糊集合论中引入"隶属度"来更好地处理人工智能中的模糊性问题。
People use fuzzy math as a tool to study fuzzy. We introduced the "membership" in classical fuzzy set theory to better deal with the ambiguity problem in artificial intelligence. | |
17 | 采用模糊集合论分析矿山机械设备滚动轴承的破损形式及其参数的多种模糊因素,建立了综合鉴别轴承寿命的数学模型。
In the paper the author analyzes a number of fuzzy factors on the damaged forms and parameters of ball and roller bearing life of mining machinery by using fuzzy set theory. | |
18 | 全集似乎极其自然且显而易见,但是最终,人们从集合论的几个悖论追溯到全集存在的假设,数学家现在知道,这一假设是有瑕疵的。
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. |