# Manuals/calci/COMPLEX

COMPLEX (Real,Imaginary,Suffix)

• is the real part of the complex number.
• is the imaginary part of the complex number.
• is the imaginary unit of the complex number.
• COMPLEX(), converts real and imaginary coefficients into a complex number.

## Description

• COMPLEX function converts the real and imaginary coefficients into a complex number.
• A complex number is a combination of a real and an imaginary number.
• A number which is positive or negative, rational or irrational or decimals are called real numbers.
• An Imaginary number is a number that when squring it gives a negative result.
• For e.g. . Because a negative times a negative is positive.
• A complex number is a number is in the form , where and are real numbers and is the imaginary unit. Where • In , here is the real part of the complex number, is the imaginary part of the complex number and is the imaginary unit of a complex number like or .
• To mention and , we must use the lower case only
• In a complex number real part is denoted by & imaginary part is denoted by .
• COMPLEX returns the error value, when and are non-numeric.
• should be either or , otherwise it shows error value.
• A Complex number whose real part is zero is said to be purely imaginary.
• A Complex number whose imaginary part is zero is a real number. In that cases we have to assign '0' for that part.
• COMPLEX(5,2) gives • COMPLEX(5,2,"j") gives ## ZOS

• The syntax is to calculate COMPLEX in ZOS is • is the real part.
• is the imaginary part.
• is imaginary unit which is either "i" or "j".
• E.x: COMPLEX(-1..1,10..11,"j")
Complex Number

## Examples

 rn in sf RESULT COMPLEX(real,imaginary,suffix) COMPLEX(5,6) 5 6 5+6i COMPLEX(5,2,"j") 5 2 j 5+2j COMPLEX(2,0,"i") 2 0 i 2+0i COMPLEX(0,-4,"i") 0 -4 i 0 + -4i COMPLEX(5,"j") 5 j #N/A (INVALID IMAGINARY COEFFICIENTS)

Complex Numbers