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Complex numbers
Fractional powers of -1
The number line is a human created thing, and is not absolute. The original number line had {1,2,3,4}, later 0 was added, and later negative numbers. Complex numbers are
less intuitive than those on the conventional number line, but are no less real (imaginary numbers is a bad name that makes them sound fake).
Without complex numbers,
What is e, and what does raising it to the i do?