Newton's fractal | chaos of complex cubic rootfinding by Newton's method
Expresión 13: "Q" left parenthesis, "z" , right parenthesis equals "N" left parenthesis, "N" left parenthesis, "N" left parenthesis, "N" left parenthesis, "z" , right parenthesis , right parenthesis , right parenthesis , right parenthesisQz=NNNNz
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four iterations
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Expresión 15: "Q" left parenthesis, left parenthesis, "x" , "y" , right parenthesis , right parenthesis . "x" greater than or equal to 0Qx,y.x≥0
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eight iterations
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Expresión 17: "Q" left parenthesis, "Q" left parenthesis, left parenthesis, "x" , "y" , right parenthesis , right parenthesis , right parenthesis . "x" greater than or equal to 0QQx,y.x≥0
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Expresión 18: "Q" left parenthesis, "Q" left parenthesis, left parenthesis, "x" , "y" , right parenthesis , right parenthesis , right parenthesis . "y" greater than or equal to 0.1QQx,y.y≥0.1
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Expresión 19: "Q" left parenthesis, "Q" left parenthesis, left parenthesis, "x" , "y" , right parenthesis , right parenthesis , right parenthesis . "y" less than or equal to negative 0.1QQx,y.y≤−0.1