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Meaning of "Mandelbrot set" in the English dictionary

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ETYMOLOGY OF THE WORD MANDELBROT SET

After Benoît Mandelbrot (1924–2010), French mathematician, born in Poland.
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Etymology is the study of the origin of words and their changes in structure and significance.
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PRONUNCIATION OF MANDELBROT SET

Mandelbrot set  [ˈmændəlˌbrɒt] play
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GRAMMATICAL CATEGORY OF MANDELBROT SET

noun
adjective
verb
adverb
pronoun
preposition
conjunction
determiner
exclamation
Mandelbrot set is a noun.
A noun is a type of word the meaning of which determines reality. Nouns provide the names for all things: people, objects, sensations, feelings, etc.

WHAT DOES MANDELBROT SET MEAN IN ENGLISH?

Mandelbrot set

Mandelbrot set

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.

Definition of Mandelbrot set in the English dictionary

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.

WORDS THAT RHYME WITH MANDELBROT SET


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

WORDS THAT BEGIN LIKE MANDELBROT SET

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

WORDS THAT END LIKE MANDELBROT SET

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

Synonyms and antonyms of Mandelbrot set in the English dictionary of synonyms

SYNONYMS

Translation of «Mandelbrot set» into 25 languages

TRANSLATOR
online translator

TRANSLATION OF MANDELBROT SET

Find out the translation of Mandelbrot set to 25 languages with our English multilingual translator.
The translations of Mandelbrot set from English to other languages presented in this section have been obtained through automatic statistical translation; where the essential translation unit is the word «Mandelbrot set» in English.

Translator English - Chinese

Mandelbrot集
1,325 millions of speakers

Translator English - Spanish

conjunto de Mandelbrot
570 millions of speakers

English

Mandelbrot set
510 millions of speakers

Translator English - Hindi

मैंडलब्रॉट सेट
380 millions of speakers
ar

Translator English - Arabic

ماندلبروت مجموعة
280 millions of speakers

Translator English - Russian

множество Мандельброта
278 millions of speakers

Translator English - Portuguese

Mandelbrot set
270 millions of speakers

Translator English - Bengali

ম্যান্ডেলব্রোট সেট
260 millions of speakers

Translator English - French

ensemble de Mandelbrot
220 millions of speakers

Translator English - Malay

Mandelbrot ditetapkan
190 millions of speakers

Translator English - German

Mandelbrot-Menge
180 millions of speakers

Translator English - Japanese

マンデルブロ集合
130 millions of speakers

Translator English - Korean

만델 브로트 집합
85 millions of speakers

Translator English - Javanese

Mandelbrot diatur
85 millions of speakers
vi

Translator English - Vietnamese

tập hợp Mandelbrot
80 millions of speakers

Translator English - Tamil

மண்டல்ரோட் தொகுப்பு
75 millions of speakers

Translator English - Marathi

मंडलब्रॉट सेट
75 millions of speakers

Translator English - Turkish

Mandelbrot seti
70 millions of speakers

Translator English - Italian

insieme di Mandelbrot
65 millions of speakers

Translator English - Polish

zbiór Mandelbrota
50 millions of speakers

Translator English - Ukrainian

безліч Мандельброта
40 millions of speakers

Translator English - Romanian

set Mandelbrot
30 millions of speakers
el

Translator English - Greek

Mandelbrot set
15 millions of speakers
af

Translator English - Afrikaans

Mandelbrot set
14 millions of speakers
sv

Translator English - Swedish

Mandelbrotmängden
10 millions of speakers
no

Translator English - Norwegian

Mandelbrot set
5 millions of speakers

Trends of use of Mandelbrot set

TRENDS

TENDENCIES OF USE OF THE TERM «MANDELBROT SET»

The term «Mandelbrot set» is regularly used and occupies the 85.111 position in our list of most widely used terms in the English dictionary.
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100%
FREQUENCY
Regularly used
60
/100
The map shown above gives the frequency of use of the term «Mandelbrot set» in the different countries.
Principal search tendencies and common uses of Mandelbrot set
List of principal searches undertaken by users to access our English online dictionary and most widely used expressions with the word «Mandelbrot set».

FREQUENCY OF USE OF THE TERM «MANDELBROT SET» OVER TIME

The graph expresses the annual evolution of the frequency of use of the word «Mandelbrot set» during the past 500 years. Its implementation is based on analysing how often the term «Mandelbrot set» appears in digitalised printed sources in English between the year 1500 and the present day.

Examples of use in the English literature, quotes and news about Mandelbrot set

EXAMPLES

10 ENGLISH BOOKS RELATING TO «MANDELBROT SET»

Discover the use of Mandelbrot set in the following bibliographical selection. Books relating to Mandelbrot set and brief extracts from same to provide context of its use in English literature.
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

10 NEWS ITEMS WHICH INCLUDE THE TERM «MANDELBROT SET»

Find out what the national and international press are talking about and how the term Mandelbrot set is used in the context of the following news items.
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, Jun 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, May 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, May 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, May 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, Apr 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, Apr 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, Apr 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, Mar 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, Mar 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, Mar 15»

REFERENCE
« EDUCALINGO. Mandelbrot set [online]. Available <https://educalingo.com/en/dic-en/mandelbrot-set>. Apr 2024 ».
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