Fractal Geometry
Complex numbers are numbers that consist of a real part and an imaginary part, expressed in the form $$a + bi$$, where $$a$$ is the real part, $$b$$ is the coefficient of the imaginary unit $$i$$ (which is defined as $$i = \sqrt{-1}$$). They play a crucial role in various fields of mathematics and science, including fractal geometry, where they are used to model and visualize intricate patterns that are characteristic of fractals. Their introduction has significantly influenced mathematical theories and applications, particularly in understanding iterative processes in complex dynamics.
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