Manuals/calci/COMPLEX

COMPLEX(real,imaginary,suffix)

$real$ is the real part of the complex number.
$imaginary$ is the imaginary part of the complex number.
$suffix$ is the imaginary unit of the 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. ${-4}^{2}=16$ . Because a negative times a negative is positive.
A complex number is a number is in the form $z=a+bi$ , where $a$ and $b$ are real numbers and $i$ is the imaginary unit. Where $i={\sqrt {-1}}$
In $COMPLEX(real,imaginary,suffix)$ , here $real$ is the real part of the complex number, $imaginary$ is the imaginary part of the complex number and $suffix$ is the imaginary unit of a complex number like $i$ or $j$ .
To mention $i$ and $j$ , we must use the lower case only
In a complex number $z$ real part is denoted by $Re(z)$ & imaginary part is denoted by $Im(z)$ .
COMPLEX returns the error value, when $real$ and $imaginary$ are non-numeric.
$Suffix$ should be either $i$ or $j$ , 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 $5+2i$
- Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle =COMPLEX(5,2,"j")} gives $5+2j$