Complex number
Number with a real and an imaginary part
Complex number
In mathematics, a complex number is a number of the form a + b i {\displaystyle a+bi} , where a and b are real numbers, and i is the imaginary unit, a number that satisfies the equation i 2 = − 1 {\displaystyle \textstyle i^{2}=-1} ; the number a is called the real part of a + b i {\displaystyle a+bi} , and b is called the imaginary part. The complex numbers form a number system which extends the real numbers and supports the same basic arithmetic operations of addition, subtraction, multiplication, and division, satisfying the same associative, commutative, and distributive laws. This makes the complex numbers a field. The set of complex numbers is denoted by either of the symbols ...
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