实数系

我们讲，实数系是一个连续集。

We say that the real number system is a continuum .

实数系的逻辑结构问题被正视。

The question of the logical structure of the real number system was faced squarely .

用连续归纳法证明实数系中的定理

Proving Theorems in Real Number Field by Means of Continual Induction

实数系基本定理的等价性

The equivalence on the theorems of the real-number system

用完全覆盖证明实数系中若干定理

To Prove Several Theorems in Real Number Field by Using Full Covering Theorem

实数系的连续性和完备性的若干等价定理

Some Equivalence Theorem of the Continuity and Completeness of the System of Real Numbers

阅读本书必须熟悉实数系。

The basic prerequisite for reading this book is a familiarity with the real number system .

开放大学数学学习历史引入法范例（1）&实数系的形成过程n.1.过半数与相对多数

Use of History Quotation Methodology in the Study of Mathematics in Open University : One Case Study & the Formation of Real Number System

实数系7个基本定理是描述实数系连续性的不同数学表达形式，又是以后函数连续性质证明的理论基础。

The seven fundamental theorems , as the description of the set of real-number system , are the base of the continuity of the functions .

第二：给出了新的模糊数的距离的定义，并在新的定义的基础上，仿照实数系理论的体系，给出了相应的定理和结论。

ⅱ: give a new definition to the distance of the fuzzy numbers . We get the relevant theorems and conclusions based on the new definition , imitating the real analysis .