Representation Theory
Complex numbers are numbers that consist of a real part and an imaginary part, typically expressed in the form a + bi, where 'a' is the real component, 'b' is the imaginary component, and 'i' is the imaginary unit, defined by the property that i² = -1. They extend the number system to enable solutions to equations that do not have real solutions, making them crucial in various areas of mathematics, physics, and engineering.
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