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CROSSWORD
ANSWER

mandelbrotset

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The answer MANDELBROTSET has 2 possible clue(s) in existing crosswords.

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The word MANDELBROTSET is NOT valid in any word game. (Sorry, you cannot play MANDELBROTSET in Scrabble, Words With Friends etc)

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Definitions of mandelbrotset in various dictionaries:

No definitions found

Word Research / Anagrams and more ...

Keep reading for additional results and analysis below.

Possible Crossword Clues
Fractal quantities unexpectedly demonstrable with time
Chap in key wager collapses complex mathematical construction

Last Seen in these Crosswords & Puzzles
Jan 16 2018 The Guardian - Cryptic crossword
Feb 27 2003 The Times - Cryptic

Mandelbrotset might refer to
The Mandelbrot set is the set of complex numbers * * * * c * * * {\displaystyle c} * for which the function * * * * * f * * c * * * ( * z * ) * = * * z * * 2 * * * + * c * * * {\displaystyle f_{c}(z)=z^{2}+c} * does not diverge when iterated from * * * * z * = * 0 * * * {\displaystyle z=0} * , i.e., for which the sequence * * * * * f * * c * * * ( * 0 * ) * * * {\displaystyle f_{c}(0)} * , * * * * * f * * c * * * ( * * f * * c * * * ( * 0 * ) * ) * * * {\displaystyle f_{c}(f_{c}(0))} * , etc., remains bounded in absolute value.* Its definition and name are due to Adrien Douady, in tribute to the mathematician Benoit Mandelbrot. The set is connected to a Julia set, and related Julia sets produce similarly complex fractal shapes. * Mandelbrot set images may be created by sampling the complex numbers and testing, for each sample point * * * * c * * * {\displaystyle c} * , whether the sequence * * * * * f * * c * * * ( * 0 * ) * , * * f * * c * * * ( * * f * * c * * * ( * 0 * ) * ) * , * … * * * {\displaystyle f_{c}(0),f_{c}(f_{c}(0)),\dotsc } * goes to infinity (in practice -- whether it leaves some predetermined bounded neighborhood of 0 after a predetermined number of iterations). Treating the real and imaginary parts of * * * * c * * * {\displaystyle c} * as image coordinates on the complex plane, pixels may then be coloured according to how soon the sequence * * * * * \| * * * f * * c * * * ( * 0 * ) * * \| * * , * * \| * * * f * * c * * * ( * * f * * c * * * ( * 0 * ) * ) * * \| * * , * … * * * {\displaystyle \|f_{c}(0)\|,\|f_{c}(f_{c}(0))\|,\dotsc } * crosses an arbitrarily chosen threshold, with a special color (usually black) used for the values of * * * * c * * * {\displaystyle c} * for which the sequence has not crossed the threshold after the predetermined number of iterations (this is necessary to clearly distinguish the Mandelbrot set image from the i...

Mandelbrotset might refer to

The Mandelbrot set is the set of complex numbers
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* does not diverge when iterated from
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* , i.e., for which the sequence
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* , etc., remains bounded in absolute value.* Its definition and name are due to Adrien Douady, in tribute to the mathematician Benoit Mandelbrot. The set is connected to a Julia set, and related Julia sets produce similarly complex fractal shapes.
* Mandelbrot set images may be created by sampling the complex numbers and testing, for each sample point
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* , whether the sequence
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* {\displaystyle f_{c}(0),f_{c}(f_{c}(0)),\dotsc }
* goes to infinity (in practice -- whether it leaves some predetermined bounded neighborhood of 0 after a predetermined number of iterations). Treating the real and imaginary parts of
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* {\displaystyle |f_{c}(0)|,|f_{c}(f_{c}(0))|,\dotsc }
* crosses an arbitrarily chosen threshold, with a special color (usually black) used for the values of
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* for which the sequence has not crossed the threshold after the predetermined number of iterations (this is necessary to clearly distinguish the Mandelbrot set image from the i...

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