Set of Complex Numbers Symbol
The set of complex numbers is represented by the Latin capital letter C presented with a doublestruck font face. The set of complex numbers extends the set real numbers and is visualized in the complex plane.
Symbol  Format  Data 

ℂ  Unicode 

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Usage
Complex Number  Concept
A complex number is an extension of the real number line where in addition to the "real" part of the number there is a complex part of the number. The properties of complex numbers are useful in applied physics as they elegantly describe rotation.
Set of Complex Numbers  Concept
The set of complex numbers contains all possible complex numbers. Each complex number has a real part and an complex part.