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manded
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There are 6 letters in MANDED ( A1D2E1M3N1 )
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Possible Dictionary Clues |
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A member of any of a large group of peoples of West Africa. |
The group of NigerCongo languages spoken by the Mande. They include Malinke, Mende, and Bambara. |
Relating to the Mande or the Mande group of languages. |
Manded might refer to |
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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... |