实数

One of the state variables of a thermodynamic system is temperature and its value can arrange over the continuum of real number.

热力学系统的一个状态变量是温度，其值是在一个实数连续区间 R 变化。

To the best of my belief those are the actual figures.

在我看来，那是实数。

The method of estimation in paper [7] is to build fitness function by the 2-norm of error matrix directly. For the error matrix is a Toeplitz matrix, a novel fitness function was presented. Then a new method, the real-valued genetic algorithm which is based on genes weights variation independently, is developed in this paper.

文献[7]提出的估计方法直接以误差矩阵的2范数建立适应度函数，文中利用该矩阵是Toeplitz矩阵的特性，构造了一个新的适应度函数，提出了一种基于基因分量独立变异的实数遗传算法。

And proves five properties of transfinite real number.

并证明了超实数的 5个重要性质。

The main results as follow:(1) We give three kinds of distance of interval-valued fuzzy sets defined on real line R, denoted by d~*,d_p~* and d_∞~*, and study some properties, for example, homogeneity, translation invariant and so on.

主要工作如下：(1)给出了定义在实数域R上的区间值模糊集之间的三种距离d~*，d_p~*和d_∞~*，讨论了它们的基本性质，如齐次性、平移不变性等。

Through a new analysis on the essential relationship between Russell's Paradox and Cantor's proof on the uncountability of real number set and the proof on the Cantor's Theorem of , a mysterious error was found:the very same logic contradiction was applied in both Russell and Cantor's work.

分析了罗素悖论与康托的实数集合不可数证明及康托定理证明之间的本质性联系，发现康托在这两个非构造性证明中所依赖的、用对角线法所构造出的矛盾其实就是罗素悖论中所揭示的逻辑矛盾。

Through a new analysis on the essential relationship between Russell's Paradox and Cantor's proofs on the uncountability of real number set and the proof on the Cantor's Theorem of ,two mysterious errors were found: The very same idea was applied in both Russell and Cantor's work, but Cantor made wrong use of it with two logical mistakes.

分析了罗素悖论与康托的实数集合不可数证明及康托定理证明之间的本质性联系，发现康托的这两个非构造性证明与罗素悖论有完全相同的思路，但是康托犯了两个逻辑性错误而使他误用了这个悖论思路。

From the defects in the basic theory of present classical infinite theory, the essential relationship between Russell's Paradox and Cantor's proof on the uncountability of real number set and the proof on the Cantor's Theorem of is analyzed and a mysterious error is found:The core of Cantor's above two important proofs in set theory are actually another versions of Russell's paradox and the very same paradoxical idea was applied in both Russell and Cantor's work, and Cantor made wrong use of this paradox idea with two logical mistakes.

从经典无穷理论体系中的缺陷入手，深入分析了罗素悖论与康托的实数集合不可数证明及康托定理证明之间的本质性联系，发现康托在这两个证明里的核心部分实际上是罗素悖论的翻版，它们与罗素悖论有完全相同的思路，并且康托犯了两个逻辑性错误而误用了这个悖论思路。

Russell's Paradox; the uncountability of real number set; Cantor's Theorem of ; infinite theory system; part; all; epistemology; logic

罗素悖论；实数集合不可数性；康托定理；无穷理论体系；部分；全体；认识论；逻辑

This article is to achieve the muti-directional computing of real number models, based on multi-directional computation of Unit group models.

根据一阶有限群的多方向计算，实现实数域运算描述的数学模型的多方向计算是本文的目的。

What are your goals and strategies for growth?

你的成长目标和策略是什么？

And unto the angel of the church in Sardis write; These things saith he that hath the seven irits of God, and the seven star I know thy works, that thou hast a name that thou livest, and art dead.

3：1 你要写信给撒狄教会的使者，说，那有神的七灵和七星的，说，我知道你的行为，按名你是活的，其实是死的。