Manuals/calci/COMPLEX

COMPLEX(RN,IN,S)

• 'RN' is the real number.
• 'IN' is the imaginary number.
• 'S' is the suffix for the imaginary number.

Description

• COMPLEX function converts the real and imaginary coefficients into a complex number.
• 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 and $i={\sqrt {-1}}$
• In COMPLEX(RN,IN,SF), here RN is the real part of a complex number,IN is the imaginary part of a complex number and SF 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 RN and IN are non-numeric.
• Suffix 'S' 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 $5+2j$

Examples

Complex(RN,IN,SF)	RN	IN	SF	RESULT
Complex(5,6)	5	6		5+6i
Complex(5,2,"j")	5	2	j	5+6j
Complex(2,0,"i")	2	0	i	2
Complex(0,-4,i)	0	4	i	4i
Complex(5,"j")	5		j	Error