Manuals/calci/COMPLEXNUM

COMPLEXNUM(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 $COMPLEXNUM(real,imaginary,suffix)$, 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.

1. =COMPLEXNUM(5,2) gives $5+i2$
2. =COMPLEXNUM(5,2,["j"]) gives $5+j2$

ZOS

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

Complex Number

Examples

COMPLEXNUM(real,imaginary,suffix)	rn	in	sf	RESULT
COMPLEXNUM(5,6)	5	6		5+i6
COMPLEXNUM(7,3,"j")	7	3	j	7+j3
COMPLEXNUM(4,0,"i")	4	0	i	4+i0
COMPLEXNUM(0,-4,"i")	0	(-4)	i	0-i4
COMPLEXNUM(5,"j")	5		j	Error

Related Videos

Complex Numbers

See Also

• COMPLEX
• IMAGINARY
• IMREAL
• IMABS
• IMCONJUGATE

References

Complex Numbers

• List of Main Z Functions

• Z3 home