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Construct in mathematics
In mathematics, a Multibrot set is the set of values in the complex plane whose absolute value remains below some finite value throughout iterations by
Multibrot_set
Fractal named after mathematician Benoit Mandelbrot
functions, the boundary of the Mandelbrot set generalizes to the bifurcation locus.[citation needed] The Multibrot set is obtained by varying the value of the
Mandelbrot_set
Fractal sets in complex dynamics of mathematics
the Julia set and the Fatou set are two complementary sets (Julia "laces" and Fatou "dusts") defined from a function. Informally, the Fatou set of the function
Julia_set
Parameter in the Mandelbrot set
analogy, the term Misiurewicz point is also used for parameters in a multibrot set where the unique critical point is strictly pre-periodic. This term
Misiurewicz_point
Continuous function that is not absolutely continuous
and every point not in the Cantor set is in one of these intervals, so its derivative is 0 outside of the Cantor set. On the other hand, it has no derivative
Cantor_function
Plane curve traced by a point on a circle rolled around another circle
and epicycle Epicyclic gearing Epitrochoid Hypocycloid Hypotrochoid Multibrot set Roulette (curve) Spirograph J. Dennis Lawrence (1972). A catalog of
Epicycloid
Fractal related to the mandelbrot set
the attractive cycle Boundaries of level sets Binary decomposition With spine With external rays Multibrot-4 Douady rabbit A Douady rabbit on a red background
Douady_rabbit
Form of algorithmic art
Non-fractal imagery may also be integrated into the artwork. The Julia set and Mandelbrot sets can be considered as icons of fractal art. It was assumed that
Fractal_art
Fractal creation method
iterations xk stay inside the attractor and, with probability 1, form a dense set in the latter. The "chaos game" method plots points in random order all over
Chaos_game
Open subset of the real–number line
corresponding to the Cantor set. A fractal string is the analogue of a one-dimensional "fractal drum," and typically the set Ω {\displaystyle \Omega } has
Fractal_string
Fractal analysis technique
pattern or data set (e.g., an image or object) according to a predetermined scanning plan to cover the relevant part of the data set, recording, i.e.
Box_counting
Chinese mathematician
Artur; Lyubich, Mikhail; Shen, Weixiao (2008). "Parapuzzle of the Multibrot set and typical dynamics of unimodal maps". arXiv:0804.2197 [math.DS]. Avila
Shen_Weixiao
z^{d}+c\,} (where d ≥ 3 {\displaystyle d\geq 3\,} ) are often called 'Multibrot sets'. For these families, the bifurcation locus is the boundary of the connectedness
Connectedness_locus
MULTIBROT SET
MULTIBROT SET
Male
Italian
Italian form of Roman Latin Septimus, SETTIMIO means "seventh."
Surname or Lastname
English
English : habitational name from a place in North Yorkshire, so named from Old English setl ‘seat’, ‘dwelling’.
Surname or Lastname
English
English : habitational name from a place in Shropshire, so named from Welsh mynydd ‘hill’ + Old English tūn ‘enclosure’, ‘settlement’.
Female
Japanese
(節å) Japanese name SETSUKO means "temperate child."
Surname or Lastname
English and Irish
English and Irish : variant of Mayhew.Variant of French Mailhot.A William Mayo born in Wiltshire, England, c. 1684 was a surveyor who settled in VA about 1623 and helped survey the VA-NC boundary and found Richmond and Petersburg, VA. [newpara]The Mayo Clinic in Rochester, MN, was founded by William Worrall Mayo (1819–1911), who immigrated to the U.S. from England, in 1845, and his sons, all gifted and innovative physicians and surgeons.
Male
English
Anglicized form of Hebrew Sheth, SETH means "buttocks." In the bible, this is the name of the third son of Adam and Eve. Compare with other forms of Seth.
Surname or Lastname
English
English : habitational name from places called Merton in London, Devon, Norfolk, and Oxfordshire, named in Old English with mere ‘lake’, ‘pool’ + tūn ‘enclosure’, ‘settlement’. Compare Marton, Martin 2.
Surname or Lastname
English
English : habitational name from places in Cheshire and East Yorkshire, so named from Old English mylen ‘mill’ + tūn ‘enclosure’, ‘settlement’.
Surname or Lastname
English
English : occupational name for a stone- or bricklayer, from Middle English setter ‘one who lays stones or bricks in building’ (agent derivative of setten ‘to set’).English : occupational name from Old French saietier ‘silk weaver’ (an agent derivative of sayete, a kind of silk).English : from an agent derivative of Middle English setten ‘to place (decoration, on a garment or metal surface)’, probably an occupational name for an embroiderer.German : unexplained.Norwegian : unexplained.
Male
Greek
(Σήθι) Greek form of Egyptian Seti, SETHI means "of Seth."Â
Surname or Lastname
English
English : habitational name from a place in Kent named Meopham, from an Old English personal name MÄ“apa + Old English hÄm ‘homestead’, ‘settlement’.
Surname or Lastname
English and Scottish
English and Scottish : habitational name from any of the places so called. In over thirty instances from many different areas, the name is from Old English midel ‘middle’ + tūn ‘enclosure’, ‘settlement’. However, Middleton on the Hill near Leominster in Herefordshire appears in Domesday Book as Miceltune, the first element clearly being Old English micel ‘large’, ‘great’. Middleton Baggot and Middleton Priors in Shropshire have early spellings that suggest gem̄ðhyll (from gem̄ð ‘confluence’ + hyll ‘hill’) + tūn as the origin.A Scottish family of this name derives it from lands at Middleto(u)n near Kincardine. The Scottish physician Peter Middleton practiced in New York City after 1752 and was one of the founders of the medical school at King's College (now Columbia University) in 1767. One of the earliest of the Charleston, SC, Middleton family of prominent legislators was Arthur Middleton, born in Charleston in 1681.
Surname or Lastname
English
English : habitational name from Milwich in Staffordshire, so named from Old English myln ‘mill’ + wīc ‘dairy farm’; ‘(trading) settlement’.
Surname or Lastname
English
English : topographic name for someone who lived in the center of a village, from Middle English midde ‘mid’ + toun ‘village’, ‘town’.English : habitational name from places in Lancashire, Worcestershire, and West Yorkshire, so named in Old English as ‘farmstead at a river confluence’, from (ge)m̄ðe ‘river confluence’ + tūn ‘farmstead’, ‘settlement’.
Male
Greek
(Σήθος) Greek form of Egyptian Sutekh, possibly SETHOS means "one who dazzles." In mythology, this is the name of an ancient evil god of Chaos, storms, and the desert, who slew Osiris.Â
Surname or Lastname
Scottish and English
Scottish and English : topographic name for someone who lived near a mill, Middle English mille, milne (Old English myl(e)n, from Latin molina, a derivative of molere ‘to grind’). It was usually in effect an occupational name for a worker at a mill or for the miller himself. The mill, whether powered by water, wind, or (occasionally) animals, was an important center in every medieval settlement; it was normally operated by an agent of the local landowner, and individual peasants were compelled to come to him to have their grain ground into flour, a proportion of the ground grain being kept by the miller by way of payment.English : from a short form of a personal name, probably female, as for example Millicent.
Surname or Lastname
English
English : patronymic from Setter.
Surname or Lastname
English
English : habitational name from Mitcham in Surrey, so named from Old English micel ‘big’ + hÄm ‘homestead’, ‘settlement’.
Male
Hindi/Indian
(सेठ) Hindi name derived from the Sanskrit word setu, SETH means "bridge." Compare with other forms of Seth.
Surname or Lastname
English and Scottish
English and Scottish : habitational name from any of the numerous and widespread places so called. The majority of these are named with Old English middel ‘middle’ + tūn ‘enclosure’, ‘settlement’; a smaller group, with examples in Cumbria, Kent, Northamptonshire, Northumbria, Nottinghamshire, and Staffordshire, have as their first element Old English mylen ‘mill’.
MULTIBROT SET
MULTIBROT SET
Boy/Male
Indian, Sanskrit
Lord of Men
Boy/Male
Afghan, African, American, Arabic, French, Indian, Iranian, Kannada, Malaysian, Muslim, Parsi, Sindhi, Tamil, Turkish
Highly Praised; Commendable; Most Praiseworthy; Much Praised; One of Many Names of the Prophet Muhammad; Most Highly Adored
Girl/Female
Celtic Welsh
Mythical daughter of Beli.
Girl/Female
Anglo, Australian, British, English, Latin
Royal
Girl/Female
Indian, Punjabi, Sikh
Victorious in Contemplation
Girl/Female
German
Noble; Kind
Girl/Female
Muslim
Clear, Pure, Clean
Boy/Male
Hindu
Collyrium, Coloured
Girl/Female
Arabic
Well-behaved.
Male
English
Anglicized form of Greek Loukas (Latin Lucas), LUKE means "from Lucania," a region of southern Italy. Lucania probably comes from the word lux, meaning "light." In the bible, this is the name of a Gentile Christian who was a companion of Paul.Â
MULTIBROT SET
MULTIBROT SET
MULTIBROT SET
MULTIBROT SET
MULTIBROT SET
n.
The act of peopling, or state of being peopled; act of planting, as a colony; colonization; occupation by settlers; as, the settlement of a new country.
n.
The act or process of adjusting or determining; composure of doubts or differences; pacification; liquidation of accounts; arrangement; adjustment; as, settlement of a controversy, of accounts, etc.
n.
The act of one who, or that which, settles; the act of establishing one's self, of colonizing, subsiding, adjusting, etc.
a.
Properly or firmly set.
n.
That which settles or finishes; hence, a blow, etc., which settles or decides a contest.
n.
That which settles, or is settled, established, or fixed.
n.
A vessel, as a tub, in which something, as pulverized ore suspended in a liquid, is allowed to settle.
a.
Eager in appetite or desire of gratification; affected by keen hunger; ravenous; as, an eagle or a lion sharp-set.
n.
A small, short hair or bristle; a small seta.
a.
Having small bristles or setae.
n.
A setula.
n.
An instrument used to set or turn the teeth of a saw a little sidewise, that they may make a kerf somewhat wider than the thickness of the blade, to prevent friction; -- called also saw-wrest.
n.
A colony newly established; a place or region newly settled; as, settlement in the West.
n.
That which settles at the bottom of a liquid; lees; dregs; sediment.
n.
Matter that subsides; settlings; sediment; lees; dregs.
n.
Especially, one who establishes himself in a new region or a colony; a colonist; a planter; as, the first settlers of New England.
n.
One who settles, becomes fixed, established, etc.
n.
Fractures or dislocations caused by settlement.
pl.
of Setula
n.
A settled place of abode; residence; a right growing out of residence; legal residence or establishment of a person in a particular parish or town, which entitles him to maintenance if a pauper, and subjects the parish or town to his support.