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在"英语"词典里aleph-null}的意思

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英语中ALEPH-NULL的发音

aleph-null play
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ALEPH-NULL的语法类别

noun
形容词
动词
副词
代词
介词
连词
限定词
感叹词

ALEPH-NULL在英语中的意思是什么?

点击查看«aleph-null»在英语词典里的原始定义
点击查看在中文词典里此定义的自动翻译

Aleph号码

Aleph number

在集合理论中,数学中的一个学科,aleph数字是用于表示无限集的基数的数字序列。 他们以用来表示他们的符号命名,希伯来文字母aleph。 自然数的基数是,下一个更大的基数是aleph-one,然后等等。 以这种方式,如下所述,可以为每个序数α定义基数。 这个概念可以追溯到Georg Cantor,Georg Cantor定义了基数的概念,并意识到无限集可以有不同的基数。 aleph数字与代数和微积分中常见的无穷大不同。 Alephs测量集合的大小; 另一方面,无穷大通常被定义为实数线的极限或扩展实数线的极值点。 In set theory, a discipline within mathematics, the aleph numbers are a sequence of numbers used to represent the cardinality of infinite sets. They are named after the symbol used to denote them, the Hebrew letter aleph. The cardinality of the natural numbers is , the next larger cardinality is aleph-one, then and so on. Continuing in this manner, it is possible to define a cardinal number for every ordinal number α, as described below. The concept goes back to Georg Cantor, who defined the notion of cardinality and realized that infinite sets can have different cardinalities. The aleph numbers differ from the infinity commonly found in algebra and calculus. Alephs measure the sizes of sets; infinity, on the other hand, is commonly defined as an extreme limit of the real number line, or an extreme point of the extended real number line.

在英语 词典里aleph-null的定义

字典中的aleph-null的定义是最小的无限基数; 正整数集合的基数为0。

The definition of aleph-null in the dictionary is the smallest infinite cardinal number; the cardinal number of the set of positive integers א0.

点击查看«aleph-null»在英语词典里的原始定义
点击查看在中文词典里此定义的自动翻译

ALEPH-NULL一样开头的英语单词

alembic
alembicated
alembication
alembroth
alength
Alep
aleph
aleph-beis
aleph-bet
aleph-zero
alepine
Aleppo
Aleppo gall
alerce
alerion
alert
alertly
alertness
Alessandria
alethic

ALEPH-NULL一样开头的英语单词

bull
chock-full
cull
dull
full
gull
half-full
hull
in full
lull
mull
null
pull
push-pull
seagull
skull
Solihull
the Bull
to the full
Tull

英语近义词词典里aleph-null的近义词和反义词

近义词

«aleph-null»的25种语言翻译

翻译者
online translator

ALEPH-NULL的翻译

通过我们的英语多语言翻译器,找到aleph-null25种语言翻译
该章节所呈现的将aleph-null由 英语向其他语言的翻译是通过自动统计翻译获得的;在英语中基本的翻译单位是单词«aleph-null»。

翻译者英语 - 中文

ALEPH空
1,325 数百万发言者

翻译者英语 - 西班牙语

aleph - nulo
570 数百万发言者

英语

aleph-null
510 数百万发言者

翻译者英语 - 印地语

Aleph - बातिल
380 数百万发言者
ar

翻译者英语 - 阿拉伯语

أليف - اغية
280 数百万发言者

翻译者英语 - 俄语

алеф- нуль
278 数百万发言者

翻译者英语 - 葡萄牙语

aleph - nulo
270 数百万发言者

翻译者英语 - 孟加拉语

aleph-নাল
260 数百万发言者

翻译者英语 - 法语

aleph - null
220 数百万发言者

翻译者英语 - 马来语

Aleph-null
190 数百万发言者

翻译者英语 - 德语

Aleph -Null
180 数百万发言者

翻译者英语 - 日语

アレフヌル
130 数百万发言者

翻译者英语 - 韩语

알레프 널 (null)
85 数百万发言者

翻译者英语 - 印尼爪哇语

Aleph-null
85 数百万发言者
vi

翻译者英语 - 越南语

aleph -null
80 数百万发言者

翻译者英语 - 泰米尔语

அல்ப் பூஜ்ஜியமல்லாத
75 数百万发言者

翻译者英语 - 马拉地语

एलेफ-नल
75 数百万发言者

翻译者英语 - 土耳其语

Aleph boş
70 数百万发言者

翻译者英语 - 意大利语

aleph -null
65 数百万发言者

翻译者英语 - 波兰语

Aleph null
50 数百万发言者

翻译者英语 - 乌克兰语

алеф - нуль
40 数百万发言者

翻译者英语 - 罗马尼亚语

Aleph - nul
30 数百万发言者
el

翻译者英语 - 希腊语

aleph - null
15 数百万发言者
af

翻译者英语 - 布尔语(南非荷兰语)

Aleph - nul
14 数百万发言者
sv

翻译者英语 - 瑞典语

aleph - null
10 数百万发言者
no

翻译者英语 - 挪威语

Aleph - null
5 数百万发言者

aleph-null的使用趋势

趋势

词语 «ALEPH-NULL»的使用趋势

0
100%
频率
极少使用
26
/100
此处所显示的地图给出了词语«aleph-null»在不同国家的使用频率。
aleph-null的主要搜索趋势和常见用法
用户为查找我们的英语在线词典以及单词«aleph-null»的最常用表达而进行的主要搜索的列表。

词语«ALEPH-NULL» 随时间而变化的使用频率

该图表展现了单词«aleph-null»在过去500年中的用法频率的每年演化其实施是基于分析词语«aleph-null»从1500年到现在在 英语数字出版物中出现的频率。

aleph-null的英语文献、引用和新闻中的使用范例

示例

«ALEPH-NULL»相关的英语书籍

在以下的参考文献中发现aleph-null的用法。与aleph-null相关的书籍以及同一来源的简短摘要提供其在 英语文献中的使用情境。
1
Black Easter, Or, Faust Aleph-Null
Set in a world where magic and science co-exist. Baines, a US arms manufacturer, hires black magician Theron Ware, to help him unleash ultimate evil throughout the world.
James Blish, 1999
2
The Magic of the Goddesses
Now, aleph null plus one is aleph null and continuing in this way aleph null times you have to conclude that aleph null plus aleph null equals aleph null.” “Oh! Sure ! I guess you're right, my math teacher said something like that except that he ...
William Wolfgang, 2009
3
Philosophy of Mathematics: Selected Readings
... and second, that for every such set it is possible to assign a denumerably infinite ordinal number, not belonging to this set, the formalist concludes: "aleph- one is greater than aleph-null," a proposition that has no meaning for the intuitionist.
Paul Benacerraf, Hilary Putnam, 1983
4
Mathematical Excursion, Enhanced Edition
Her song is titled Hotel Aleph Null—yeah. Here are the lyrics for the chorus of her song, which is to be sung to the tune of Hotel California by the Eagles. (Source: http://www.marypat.org/mathcamp/doc2001/ hellrelays.html#hotel)4 Hotel Aleph  ...
Richard Aufmann, Joanne Lockwood, Richard Nation, 2009
5
Axioms for [aleph-null]-categorical Orderings
Abstract: "Every N0-categorical linear ordering is finitely axiomatizable. This follows trivially from the characterization of N0- categorical orderings in [Ros69]. But this proof does not show what the axioms are.
H. A. N. van (Jeroen) Maanen, Centrum voor Wiskunde en Informatica (Amsterdam, Netherlands). Department of Computer Science, Centrum voor Wiskunde en Informatica (Amsterdam, Netherlands). Department of Algorithmics & Architecture, 1994
6
Universals of Human Language: Method & theory
This question is considered in detail in my paper 'Numeral Systems' in Vol. III of the present publication. -a Aleph-null is the cardinal number of the set of natural numbers the model of a countable infinity. Aleph-null to the aleph-null powe is an  ...
Joseph Harold Greenberg, Charles Albert Ferguson, Edith A. Moravcsik, 1978
7
Anglo-American Idealism: Thinkers and Ideas
Georg Cantor, as we all know, argued that one might begin with the smallest infinite number, aleph-null, and go on indefinitely. The properties of infinite numbers are puzzling to some people but perhaps revealing to philosophers. A series is ...
James Connelly, Stamatoula Panagakou, 2010
8
Absolutes and Infinity in Our Physical Universe: Believers ...
There are other types of infinitude aside from the infinitude of going on forever ( aleph null), like aleph one, aleph two, etc., in a hierarchy of alephs, which humans have been able to uncover with the help of transfinite mathematics that may also ...
Carlton Andrews Lane, 2012
9
Great Feuds in Mathematics: Ten of the Liveliest Disputes Ever
To denote this level of cardinality, he used the first letter in the Hebrew alphabet, the aleph, along with the subscript zero, and termed it aleph-null (NO). In other words, the set N of natural numbers can be put into a one-to-one correspondence  ...
Hal Hellman, 2010
10
Programming PHP
The NULL value represents a variable that has no value (similar to Perl's undef or Python's None): $aleph = "beta"; $aleph = null; // variable's value is gone $aleph = Null; // same $aleph = NULL; // same Use the is_null() function to test whether ...
Kevin Tatroe, Peter MacIntyre, Rasmus Lerdorf, 2013

包含词语«ALEPH-NULL»的新条目

找出国内和国际出版社所讨论的内容,以及词语aleph-null在以下新条目的上下文中是如何使用的。
1
A brief exploration of Infinity
For example, the set of natural numbers is a trans-finite cardinal number called aleph-null. Similarly, the cardinal number of the set of real ... «Daily News & Analysis, 十一月 13»
2
Why Does the World Exist? A Review
What that means is that an aleph-null infinity couldn't even begin to cover all the bases, much less the home run that accounts for our own ... «Huffington Post, 八月 13»
3
Does infinity really exist?
But because a single number cannot describe the size of an infinite set, Cantor used the term aleph-0, or aleph-null (aleph being the first letter ... «io9, 七月 13»
4
More highbrow jokes: We didn't realise what we were starting
And it doesn't. What is the longest song in the world? Aleph-null bottles of beer on the wall. Two cats are sitting on a roof. Which one slips off? «The Independent, 七月 13»
5
The Definitive Quick Reference Guide to All Types of Numbers
According to Jeff Suzuki's “Mathematicians and Other Oddities of Nature“, the cardinality of Natural numbers is called “aleph-null”. (“Aleph” is ... «Decoded Science, 十月 11»
6
A Brief Introduction To Infinity
But that's imprecise: it's cardinality is actually aleph-null, or aleph-zero, which is the smallest type of infinity. To understand why this infinity is ... «Gizmodo Australia, 六月 11»
7
Monday Puzzle: Mystical Mathematics
Both sets have a count or cardinality equal to the transfinite number א 0 – aleph-null. CG: You mean Georg Cantor discovered them, not ... «New York Times, 十二月 09»
8
Alternative Axioms: NBG Set Theory
... class of all of those sets, the sets described by aleph-null axioms. ... large cardinal (which would just be aleph-null axioms again), so that ... «ScienceBlogs, 六月 07»

参考文献
« EDUCALINGO. Aleph-Null [在线]. 可用 <https://educalingo.com/zh/dic-en/aleph-null>. 五月 2024 ».
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