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In mathematics, the n-dimensional complex coordinate space is the set of all ordered n-tuples of complex numbers, also known as complex vectors. The space is denoted , and is the n-fold Cartesian product of the complex line with itself. Symbolically,
or
The variables are the (complex) coordinates on the complex n-space.
The special case , called the complex coordinate plane, is not to be confused with the complex plane, a graphical representation of the complex line.
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