序数

In this case, it is traditional to identify the cardinal number with its initial ordinal, and we say that the initial ordinal ''is'' a cardinal.

在这种情况下，传统上识别基数为初始序数，并称呼初始序数是基数。

Departing from basic concepts of cardinal numbers and their numbering orders, the paper differentiated and analyzed some concepts easy to be confused related to binary system, pointing out that the introduced concepts of ordinals played an important role in the development of modern mathematics.

本文从数及其记数法的基本概念出发，辨析了与二进位制相关的几个容易混淆的概念，指出序数概念的引入在近代数学中有重要意义，作为邵雍数学学派的数学基础，先天易是数学史上第一个专门定义的序数体系，该序数体系在数学史上率先采用了二进位制记数法

Departing from basic concepts of cardinal numbers and their numbering orders, the paper differentiated and analyzed some concepts easy to be confused related to binary system, pointing out that the introduced concepts of ordinals played an important role in the development of modern mathematics. As the foundation of SHAO Yong's mathematics, the primordial Yi , in the history of mathematics, exhibits the first specially defined ordinal system, in which the binary numbering method was used at the first time.

本文从自然数及其记数法的基本概念出发，辨析了与二进位制相关的几个容易混淆的概念，指出序数概念的引入在近代数学发展中有重要意义，作为邵雍数学学派的数学基础，先天易是数学史上第一个专门定义的序数体系，该序数体系在数学史上率先采用了二进位制记数法。

Departing from basic concepts of cardinal numbers and their numbering orders, the paper differentiated and analyzed some concepts easy to be confused related to binary system, pointing out that the introduced concepts of ordinals played an important role in the development of modern mathematics. As the foundation of SHAO Yongs mathematics, the primordial Yi, in the history of mathematics, exhibits the first specially defined ordinal system, in which the binary numbering method was used at the first time.

本文从自然数及其记数法的基本概念出发，辨析了与二进位制相关的几个容易混淆的概念，指出序数概念的引入在近代数学发展中有重要意义，作为邵雍数学学派的数学基础，先天易是数学史上第一个专门定义的序数体系，该序数体系在数学史上率先采用了二进位制记数法。

O9Z6J?Kd Abstract: Departing from basic concepts of cardinal numbers and their numbering orders, the paper differentiated and analyzed some concepts easy to be confused related to binary system, pointing out that the introduced concepts of ordinals played an important role in the development of modern mathematics.

本文从自然数及其记数法的基本概念出发，辨析了与二进位制相关的几个容易混淆的概念，指出序数概念的引入在近代数学发展中有重要意义，作为邵雍数学学派的数学基础，先天易是数学史上第一个专门定义的序数体系，该序数体系在数学史上率先采用了二进位制记数法。

The subjective nature of the utility concept 15 , however , susceptible to ordinal ranking measure . 12 In ordinal preference patterns , one only has to be able to rank alternatives 一from highest to lowest , best to worst , or most satisfying to least satisfying ; no attempt 15 made to quantify the amount by which one alternative 15 better than others - Despite the fact that utility 15 not subiect to precise quantification , it 15 still analytically useful to assume that utility can be represented by cardinal numbers .

公共概念15 的主观本质，然而，易受影响序数等第措施。12 在序数特选样式，你必须只能排列选择一从最高对最低，最好对最坏，或令人满意对最少满意；企图15 没有做定量一个选择15 更好的数额比其他人-竟管公共事业15 不是subiect 写量化，它的大意15 寂静分析有用假设，公共事业可能由序数代表。

The cofinality of any ordinal ''α'' is a regular ordinal, i.e. the cofinality of the cofinality of ''α'' is the same as the cofinality of ''α''.

任何序数''α''的共尾性是正规序数，就是说''α''的共尾性的共尾性同于''α''的共尾性。

GCH implies that this strict inequality holds for infinite cardinals as well as finite cardinals.

GCH 意味着这个严格的不等式对无限序数和有限序数都成立。

There were very significant correlation between single plant yield and the number of compound umbels, umbellules, branches, effective branches, seed number per plant and thousand kernel weight , their correlation coefficients were 0.9040~, 0.8860~, 0.8409~, 0.8336~, 0.8659~ and 0.3925~ respectively.

单株产量与复伞形花序数、小伞形花序数、分枝数、有效分枝数、株粒数及千粒重具极显著正相关，相关系数依次为0.9040~、0.8860~、0.8409~、0.8336~、0.8659~、0.3925~。

For example, the class of all limit ordinals is closed and unbounded : this translates the fact that there is always a limit ordinal greater than a given ordinal, and that a limit of limit ordinals is a limit ordinal (a fortunate fact if the terminology is to make any sense at all!).

例如，所有极限序数的类是闭合且无界的：这解释了总是有一个极限序数大于给定序数，而且极限序数的极限是极限序数的事实。

Lugalbanda was a god and shepherd king of Uruk where he was worshipped for over a thousand years.

Lugalbanda 是神和被崇拜了一千年多 Uruk古埃及喜克索王朝国王。

I am coming just now,' and went on perfuming himself with Hunut, then he came and sat.

我来只是现在，'歼灭战perfuming自己与胡努特，那麼，他来到和SAT 。