Difference between revisions of "Manuals/calci/COMPLEX"

Latest revision as of 03:43, 12 October 2020

COMPLEX (Real,Imaginary,Suffix)

$Real$ is the real part of the complex number.
$Imaginary$ 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. ${-4}^{2}=16$ . 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 $5+2i$
- COMPLEX(5,2,"j") gives $5+2j$

ZOS

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

Complex Number

Examples

Spreadsheet
COMPLEX(real,imaginary,suffix)	rn	in	sf	RESULT
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)

References

Complex Numbers

List of Main Z Functions

Z3 home

@@ Line 1: / Line 1: @@
-<div style="font-size:30px">'''COMPLEX(RN,IN,SF)'''</div><br/>
+<div style="font-size:30px">'''COMPLEX (Real,Imaginary,Suffix)'''</div><br/>
-*'RN' is the real number.
+*<math>Real</math> is the real part of the complex number.
-*'IN' is the imaginary number.
+*<math>Imaginary</math> is the imaginary part of the complex number.
-*'S' is the suffix for the imaginary number.
+*<math>Suffix</math> 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 number is  in the form <math> z = a + bi</math>, where a and b are real numbers and <math>i</math> is the imaginary unit. Where <math>i=\sqrt{-1}</math>
+*A complex number is a combination of a real and an imaginary number.
-*In <math>COMPLEX(RN,IN,SF)</math>, 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 <math>i</math> or <math>j</math>.
+*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. <math>{-4}^2 =16</math>. Because a negative times a negative is positive.
+*A complex number is a number is  in the form <math> z = a + bi</math>, where <math>a</math> and <math>b</math> are real numbers and <math>i</math> is the imaginary unit. Where <math>i=\sqrt{-1}</math>
+*In <math>COMPLEX(Real,Imaginary,Suffix)</math>, here <math>Real</math> is the real part of the complex number, <math>Imaginary</math> is the imaginary part of the complex number and <math>Suffix</math> is the imaginary unit of a complex number like <math>i</math> or <math>j</math>.
 *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 RN and IN are non-numeric.
+*COMPLEX returns the error value, when <math>Real</math> and <math>Imaginary</math> are non-numeric.
-*Suffix 'S' should be either <math>i</math> or <math>j</math>, otherwise it shows error value.
+*<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.
 *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 <math>5+2i</math>
+**COMPLEX(5,2,"j") gives <math>5+2j</math>
-**<math>=COMPLEX(5,2)</math> gives <math>5+2i</math>
+==ZOS==
-**<math>=COMPLEX(5,2,"j")</math> gives <math>5+2j</math>
+*The syntax is to calculate COMPLEX in ZOS is <math>COMPLEX(REAL,IMAGINARY,SUFFIX)</math>
+*<math>REAL</math> is the real part.
+*<math>IMAGINARY</math> is the imaginary part.
+*<math>SUFFIX</math> is imaginary unit which is either "i" or "j".
+*E.x: COMPLEX(-1..1,10..11,"j")
+{{#ev:youtube|N9v1byHycgs|280|center|Complex Number}}
 ==Examples==
-{| id="TABLE3" class="SpreadSheet blue"
+{| class="wikitable"
-|- class="even"
+|+Spreadsheet
-| Complex(RN,IN,SF)
+|-
-! RN
+| COMPLEX(real,imaginary,suffix)
-! IN
+! rn
-! SF
+! in
+! sf
 ! RESULT
 |-
 |- class="odd"
-|Complex(5,6)
+|COMPLEX(5,6)
 |5
 |6
 |
-|5+6i
+|        5+6i
 |- class="even"
-|Complex(5,2,"j")
+|COMPLEX(5,2,"j")
 |5
 |2
 |j
-|5+6j
+|         5+2j
 |- class="odd"
-| Complex(2,0,"i")
+|COMPLEX(2,0,"i")
 |2
 |0
 |i
-|2
+|          2+0i
 |- class="even"
-| Complex(0,-4,i)
+|COMPLEX(0,-4,"i")
 |0
-|4
+| -4
 |i
-|4i
+|          0 + -4i
 |- class="odd"
-|Complex(5,"j")
+|COMPLEX(5,"j")
 |5
 |
 |j
-|Error
+| #N/A (INVALID IMAGINARY COEFFICIENTS)
 |}
+==Related Videos==
+{{#ev:youtube|SP-YJe7Vldo|280|center|Complex Numbers}}
 ==See Also==
@@ Line 64: / Line 83: @@
 *[[Manuals/calci/IMAGINARY | IMAGINARY]]
 *[[Manuals/calci/IMREAL| IMREAL]]
+*[[Manuals/calci/IMABS| IMABS]]
+*[[Manuals/calci/IMCONJUGATE| IMCONJUGATE]]
 ==References==
-[http://en.wikipedia.org/wiki/Complex_number| Complex Numbers]
+*[http://en.wikipedia.org/wiki/Complex_number  Complex Numbers]
+*[[Z_API_Functions | List of Main Z Functions]]
+*[[ Z3 |   Z3 home ]]

Difference between revisions of "Manuals/calci/COMPLEX"

Latest revision as of 03:43, 12 October 2020

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