Complex Functions

For calculations with complex numbers there are functions available to calculate the real part, imaginary part, modulus, argument and complex conjugate of a complex number. You can read more about complex numbers and the complex plane on the page Complex numbers.
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Functions

The following functions are available for computing properties of complex numbers.
Function Description
Re(a + bi) Calculates the real part of the complex number a + bi.
Re(a + bi) = a

Im(a + bi) Calculates the imaginary part of the complex number a + bi.
Im(a + bi) = b

Abs(a + bi) Calculates the absolute value of the complex number a + bi, also called the complex modulus.
Abs(a + bi) = Sqrt(a2 + b2)

Arg(a + bi) Calculates the complex argument of a + bi. See also the subject complex plane on the page Complex numbers.

Conj(a + bi) Calculates the complex conjugate of the complex number a + bi. This is given by changing the sign of the imaginary part.
Conj(a + bi) = a - bi

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Examples

'Examples of using complex functions

Re(3 + 4i)
       Ans = 3
Im(3 + 4i)
       Ans = 4
Re(5.5)
       Ans = 5.5
Im(5.5)
       Ans = 0
Abs(3 + 4i)
       Ans = 5

Conj(10.5 + 3.25i)
       Ans = 10.5 - 3.25i

' Calculate the modulus and argument for
' the complex value 1 + 2i and check the values
Angles = Rad;
r = Abs(1 + 2i)
       r = 2.236067977
theta = Arg(1 + 2i)
       theta = 1.107148718
r * Cos(theta)
       Ans = 1
r * Sin(theta)
       Ans = 2
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See Also

Complex Numbers, Functions overview