Difference between revisions of "Manuals/calci/COMPLEXNUM"

Revision as of 20:27, 16 April 2017

COMPLEXNUM(real,imaginary,suffix)

COMPLEXNUM 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 $Im(z)$ .
COMPLEXNUM 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.

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

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

@@ Line 7: / Line 7: @@
 ==Description==
-*COMPLEX function converts the real and imaginary coefficients into a complex number.
+*COMPLEXNUM 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.
@@ Line 16: / Line 16: @@
 *To mention <math>i</math> and <math>j</math>, we must use the lower case only
 *In a complex number <math>z</math> real part is denoted by <math>Re(z)</math> & imaginary part is denoted by <math>Im(z)</math>.
-*COMPLEX returns the error value, when <math>real</math> and <math>imaginary</math> are non-numeric.
+*COMPLEXNUM returns the error value, when <math>real</math> and <math>imaginary</math> are non-numeric.
 *<math>Suffix</math> should be either <math>i</math> or <math>j</math>, otherwise it shows error value.
 *A Complex number whose real part is zero is said to be purely imaginary.