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在"英语"词典里Mandelbrot set}的意思

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词典
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单词 MANDELBROT SET的词源

After Benoît Mandelbrot (1924–2010), French mathematician, born in Poland.
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语源学是对单词起源和它们的结构和意义变化的研究
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英语中MANDELBROT SET的发音

Mandelbrot set  [ˈmændəlˌbrɒt] play
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MANDELBROT SET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

MANDELBROT SET在英语中的意思是什么?

点击查看«Mandelbrot set»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
Mandelbrot set

Mandelbrot集

Mandelbrot set

Mandelbrot集是一个数学集合的点,其边界是一个独特且易于识别的二维分形。 该集与朱莉娅集合密切相关,并以数学家Benoit Mandelbrot命名,他研究并普及了它。 Mandelbrot设置图像是通过对复数进行抽样来确定的,并且当对其进行特定的数学运算时,确定结果是否趋向于无穷大。 将每个数字的实部和虚部作为图像坐标进行处理,根据序列发散的速度,对像素进行着色。 更准确地说,Mandelbrot集是在复平面中c的值的集合,其中复数二次多项式迭代下的0的轨道保持有界。 也就是说,复数c是Mandelbrot集的一部分,如果从z0 = 0开始并重复应用迭代,则zn的绝对值保持有界,然而大n得到。 例如,令c = 1给出趋于无穷大的序列0,1,2,5,26,...。 由于这个序列是无界的,1不是Mandelbrot集的元素。 The Mandelbrot set is a mathematical set of points whose boundary is a distinctive and easily recognizable two-dimensional fractal shape. The set is closely related to Julia sets and is named after the mathematician Benoit Mandelbrot, who studied and popularized it. Mandelbrot set images are made by sampling complex numbers and determining for each whether the result tends towards infinity when a particular mathematical operation is iterated on it. Treating the real and imaginary parts of each number as image coordinates, pixels are colored according to how rapidly the sequence diverges, if at all. More precisely, the Mandelbrot set is the set of values of c in the complex plane for which the orbit of 0 under iteration of the complex quadratic polynomial remains bounded. That is, a complex number c is part of the Mandelbrot set if, when starting with z0 = 0 and applying the iteration repeatedly, the absolute value of zn remains bounded however large n gets. For example, letting c = 1 gives the sequence 0, 1, 2, 5, 26,…, which tends to infinity. As this sequence is unbounded, 1 is not an element of the Mandelbrot set.

在英语 词典里Mandelbrot set的定义

Mandelbrot在字典中的定义是复平面中的一组点,它是根据某种预定的规则自我复制的,使得该集的边界具有分形维数,用于研究分形几何和在 电脑图像。

The definition of Mandelbrot set in the dictionary is a set of points in the complex plane that is self-replicating according to some predetermined rule such that the boundary of the set has fractal dimensions, used in the study of fractal geometry and in producing patterns in computer graphics.

点击查看«Mandelbrot set»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

MANDELBROT SET押韵的英语 单词


agorot
ˌæɡəˈrɒt
dogtrot
ˈdɒɡˌtrɒt
foxtrot
ˈfɒksˌtrɒt
garotte
ɡəˈrɒt
garrote
ɡəˈrɒt
garrotte
ɡəˈrɒt
globe-trot
ˈɡləʊbtrɒt
grot
ɡrɒt
gut-rot
ˈɡʌtˌrɒt
jog-trot
ˈdʒɒɡˌtrɒt
linkrot
ˈlɪnkˌrɒt
out-trot
ˌaʊtˈtrɒt
rhinocerot
raɪˈnɒsəˌrɒt
rot
rɒt
rotte
rɒt
shofroth
ˈʃəʊˌfrɒt
tommyrot
ˈtɒmɪˌrɒt
trot
trɒt
vrot
frɒt

MANDELBROT SET一样开头的英语单词

Mande
Mandean
Mandeanism
Mandela
Mandelstam
Mandeville
mandi
mandible
mandibular
mandibular disease
mandibulate
Mandingo

MANDELBROT SET一样开头的英语单词

box set
boxed set
breakfast set
character set
cruet set
data set
drum set
generating set
jet set
nail set
permanent set
smart set
socket set
solution set
starter set
tea set
television set
toilet set
train set
unit set

英语近义词词典里Mandelbrot set的近义词和反义词

近义词

«Mandelbrot set»的25种语言翻译

翻译者
online translator

MANDELBROT SET的翻译

通过我们的英语多语言翻译器,找到Mandelbrot set25种语言翻译
该章节所呈现的将Mandelbrot set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«Mandelbrot set»。

翻译者英语 - 中文

Mandelbrot集
1,325 数百万发言者

翻译者英语 - 西班牙语

conjunto de Mandelbrot
570 数百万发言者

英语

Mandelbrot set
510 数百万发言者

翻译者英语 - 印地语

मैंडलब्रॉट सेट
380 数百万发言者
ar

翻译者英语 - 阿拉伯语

ماندلبروت مجموعة
280 数百万发言者

翻译者英语 - 俄语

множество Мандельброта
278 数百万发言者

翻译者英语 - 葡萄牙语

Mandelbrot set
270 数百万发言者

翻译者英语 - 孟加拉语

ম্যান্ডেলব্রোট সেট
260 数百万发言者

翻译者英语 - 法语

ensemble de Mandelbrot
220 数百万发言者

翻译者英语 - 马来语

Mandelbrot ditetapkan
190 数百万发言者

翻译者英语 - 德语

Mandelbrot-Menge
180 数百万发言者

翻译者英语 - 日语

マンデルブロ集合
130 数百万发言者

翻译者英语 - 韩语

만델 브로트 집합
85 数百万发言者

翻译者英语 - 印尼爪哇语

Mandelbrot diatur
85 数百万发言者
vi

翻译者英语 - 越南语

tập hợp Mandelbrot
80 数百万发言者

翻译者英语 - 泰米尔语

மண்டல்ரோட் தொகுப்பு
75 数百万发言者

翻译者英语 - 马拉地语

मंडलब्रॉट सेट
75 数百万发言者

翻译者英语 - 土耳其语

Mandelbrot seti
70 数百万发言者

翻译者英语 - 意大利语

insieme di Mandelbrot
65 数百万发言者

翻译者英语 - 波兰语

zbiór Mandelbrota
50 数百万发言者

翻译者英语 - 乌克兰语

безліч Мандельброта
40 数百万发言者

翻译者英语 - 罗马尼亚语

set Mandelbrot
30 数百万发言者
el

翻译者英语 - 希腊语

Mandelbrot set
15 数百万发言者
af

翻译者英语 - 布尔语(南非荷兰语)

Mandelbrot set
14 数百万发言者
sv

翻译者英语 - 瑞典语

Mandelbrotmängden
10 数百万发言者
no

翻译者英语 - 挪威语

Mandelbrot set
5 数百万发言者

Mandelbrot set的使用趋势

趋势

词语 «MANDELBROT SET»的使用趋势

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100%
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经常使用
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此处所显示的地图给出了词语«Mandelbrot set»在不同国家的使用频率。
Mandelbrot set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«Mandelbrot set»的最常用表达而进行的主要搜索的列表。

词语«MANDELBROT SET» 随时间而变化的使用频率

该图表展现了单词«Mandelbrot set»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«Mandelbrot set»从1500年到现在在 英语数字出版物中出现的频率。

Mandelbrot set的英语文献、引用和新闻中的使用范例

示例

«MANDELBROT SET»相关的英语书籍

在以下的参考文献中发现Mandelbrot set的用法。与Mandelbrot set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
Fractals and Chaos: The Mandelbrot Set and Beyond
What we see in this book is a glimpse of how Mandelbrot helped change our way of looking at the world.
Benoit Mandelbrot, 2004
2
The Mandelbrot Set, Theme and Variations
Systematic exposition of current knowledge about the Mandelbrot set, discussing the latest research and results.
Tan Lei, 2000
3
Fractal Art: The Mandelbrot Set
This collection of computer-generated art depicts Mandelbrot-set fractals--fantastic patterns of colored shapes symmetrically repeated as infinitely smaller versions of themselves.
Levin, Mandelbrot Set, 1996
4
The Universal Mandelbrot Set: Beginning of the Story
"This book is devoted to the structure of the Mandelbrot set - a remarkable and important feature of modern theoretical physics, related to chaos and fractals and simultaneously to analytical functions, Riemann surfaces, phase transitions ...
Valeriĭ Valerʹevich Dolotin, Alʹbert Dmitrievich Morozov, 2006
5
Advanced Microsoft Visual Basic 5
Offers advice on error handling, client-server issues, building distributed business objects, data access options, the year 2000 problem, multimedia, and project management
Mandelbrot Set (International) Limited, 1997
6
Fractals for the Classroom: Part Two: Complex Systems and ...
Published in cooperation with the National Council of Teachers of Mathematics
Heinz-Otto Peitgen, Hartmut Jürgens, Dietmar Saupe, 1992
7
Complex Dynamics: Twenty-five Years After the Appearance of ...
Chaotic behavior of (even the simplest) iterations of polynomial maps of the complex plane was known for almost one hundred years due to the pioneering work of Farou, Julia, and their contemporaries.
Robert L. Devaney, Linda Keen, 2006
8
Ciarcia's Circuit Cellar
The AT connection uses a standard serial port for data transfer, with the port control lines handling handshaking and array resets. Listing 1: (a) Pseudocode for the Mandelbrot set program kernel, (b) The same code without the SQRT function.
Steve Ciarcia, 1990
9
The Computational Beauty of Nature: Computer Explorations of ...
8.4 The M-Set and Computability The Mandelbrot set is a set of complex numbers ; thus, it is not really comparable in rigorous terms with a set of natural numbers. However, in this section we will dispense with the formality so that we can ...
Gary William Flake, 1998
10
Complex Analysis for Mathematics and Engineering
Prove that if z = c is in the Mandelbrot set, then its conjugate c is also in the Mandelbrot set. Thus, the Mandelbrot set is symmetric about the x-axis. Hint: Use mathematical induction. 8. Show that if c is any real number greater than | , then c is ...
John H. Mathews, Russell W. Howell, 2006

包含词语«MANDELBROT SET»的新条目

找出国内和国际出版社所讨论的内容,以及词语Mandelbrot set在以下新条目的上下文中是如何使用的。
1
Remembering Nuon, the gaming chip that nearly changed the world …
As early as 1996, the in-development chip could already demonstrate basic ray tracing, and it had a Mandelbrot set (a complex kind of fractal) ... «Ars Technica, 六月 15»
2
Dancing Mandelbrot Set on a FPGA
This FPGA based build creates an interesting display which reacts to music. [Wancheng's] Dancing Mandelbrot Set uses an FPGA and some ... «Hackaday, 五月 15»
3
Beauty Behind Math: Explore Fractals in Windows
As such, the Mandelbrot Set is born. It's pretty difficult to explain, with the experience being best discovered by yourself. Here's what this ... «Softpedia News, 五月 15»
4
Hackaday Prize Entry: A Pic32 Game Console
Right now most of the build is dedicated to fleshing out the video system, and [Alex] has a great demo: rendering the Mandelbrot set in real time ... «Hackaday, 五月 15»
5
What The Heck is a Fractal and How Does It Apply to Games?
For a more intense example of fractals in action, we can look at the most famous fractal of them all: The Mandelbrot Set. Unlike the Sierpinski ... «The Escapist, 四月 15»
6
In Praise of Fractals and Poetry
A portion of the Mandelbrot set, which may be the world's most famous fractal. Image: Wolfgangbeyer, via Wikimedia Commons. This year for ... «Scientific American, 四月 15»
7
An Apple ][ emulator on an Arduino Uno
[Damian] caps off this incredible project by booting his new computer, loading a Mandelbrot set program from cassette -or in this case an audio ... «Hackaday, 四月 15»
8
Intraday Momentum Confirmed: Day Traders Credited
After all, the “Mandelbrot set” is calculated in accord with a formula that incorporates momentum. The rule for its construction, phrased without ... «AllAboutAlpha.com, 三月 15»
9
For Pi Day: A Reminiscence on “The Death of Proof”*
I could fake math knowledge for little news stories about the Mandelbrot set or Fermat's last theorem, but a major article would be too hard! «Scientific American, 三月 15»
10
Artist applies his work to Powder Mountain's snow
He based his pieces on fractal geometry, such as the Mandelbrot Set, Koch Snowflake and Sierpinski Triangle. After that, he decided to take ... «Standard-Examiner, 三月 15»

参考文献
« EDUCALINGO. Mandelbrot set [在线]. 可用 <https://educalingo.com/zh/dic-en/mandelbrot-set>. 五月 2024 ».
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