Control Theory
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 component, $$b$$ is the imaginary component, and $$i$$ is the imaginary unit, defined as the square root of -1. They extend the concept of one-dimensional number lines to two-dimensional complex planes, allowing for more comprehensive mathematical solutions and modeling, especially in engineering and physics.
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