Difference between revisions of "Manuals/calci/IMAGINARY"

From ZCubes Wiki
Jump to navigation Jump to search
(Created page with "<div id="6SpaceContent" class="zcontent" align="left"> '''IMAGINARY'''(ComplexNumber) where, '''ComplexNumber''' - is a complex number for which you use imaginary co...")
 
 
(21 intermediate revisions by 4 users not shown)
Line 1: Line 1:
−
<div id="6SpaceContent" class="zcontent" align="left">
+
<div style="font-size:30px">'''IMAGINARY(ComplexNumber)'''</div><br/>
 +
*<math>ComplexNumber</math>  is of the form <math>x+iy</math>.
 +
**IMAGINARY(), returns the imaginary coefficient of a complex number
  
−
'''IMAGINARY'''(ComplexNumber)
+
==Description==
  
−
where,
+
*This function gives the imaginary coefficient of a complex number.
 +
*Complex number is a combination of real and an imaginary number.
 +
*Imaginary number is a real number which is multiplied with the imaginary unit <math>i</math>, where <math>i=\sqrt{-1}</math>.
 +
*When imaginary number <math>bi</math> is get adding to the real number <math>a</math>, then it forms a complex number.
 +
*Also when we are squaring the imaginary number <math>bi</math>, it will give the negative real number <math>{-b}^2</math>.
 +
*For eg <math>(5i)^2=-25</math>.
 +
*We can use [[Manuals/calci/COMPLEX | COMPLEX]] function to convert the real and imaginary coefficients to a complex number.
 +
*A complex number is a imaginary number when the real part is zero.
  
−
'''ComplexNumber''' - is a complex number for which you use imaginary coefficient.
+
==ZOS==
  
−
</div>
+
*The syntax is to calculate IMAGINARY in ZOS Section is <math>IMAGINARY(ComplexNumber)</math>.
−
----
+
**<math>ComplexNumber</math>  is of the form <math>x+iy</math>.
−
<div id="1SpaceContent" class="zcontent" align="left">
+
*For e.g.,IMAGINARY("6-0.5i")
 +
{{#ev:youtube|Ijhl4ekADac|280|center|Imaginary}}
  
−
Calci returns the imaginary coefficient of a complex number in x+yi format.
+
==Examples==
  
−
</div>
+
#=IMAGINARY("2+3i")=3
−
----
+
#=IMAGINARY("4-5i")=-5
−
<div id="7SpaceContent" class="zcontent" align="left">
+
#=IMAGINARY("3j")=3
 +
#=IMAGINARY("7")=0
  
−
Use COMPLEX function to convert real and imaginary coefficient into a complex number.
+
==Related Videos==
  
−
</div>
+
{{#ev:youtube|SP-YJe7Vldo|280|center|Complex Numbers}}
−
----
 
−
<div id="12SpaceContent" class="zcontent" align="left"><div class="ZEditBox" align="left">
 
  
−
IMAGINARY
+
==See Also==
  
−
<font size="6"></font>
+
*[[Manuals/calci/COMPLEX  | COMPLEX ]]
 +
*[[Manuals/calci/IMREAL  | IMREAL ]]
  
−
</div></div>
+
==References==
−
----
+
[http://en.wikipedia.org/wiki/Imaginary_number  Imaginary Number]
−
<div id="8SpaceContent" class="zcontent" align="left">
 
  
−
Lets see an example in (Column1, Row1)
 
  
−
<nowiki>=IMAGINARY("5+7i")</nowiki>
 
  
−
IMAGINARY returns 7.
 
  
−
Consider an another example(Column1, Row2)
+
*[[Z_API_Functions | List of Main Z Functions]]
  
−
<nowiki>=IMAGINARY("-3i")</nowiki>
+
*[[ Z3 |   Z3 home ]]
−
 
 
−
It returns -3.
 
−
 
 
−
</div>
 
−
----
 
−
<div id="10SpaceContent" class="zcontent" align="left"><div class="ZEditBox" align="justify">Syntax </div><div class="ZEditBox"><center></center></div></div>
 
−
----
 
−
<div id="4SpaceContent" class="zcontent" align="left"><div class="ZEditBox" align="justify">Remarks </div></div>
 
−
----
 
−
<div id="3SpaceContent" class="zcontent" align="left"><div class="ZEditBox" align="justify">Examples </div></div>
 
−
----
 
−
<div id="11SpaceContent" class="zcontent" align="left"><div class="ZEditBox" align="justify">Description </div></div>
 
−
----
 
−
<div id="2SpaceContent" class="zcontent" align="left">
 
−
 
 
−
{| id="TABLE3" class="SpreadSheet blue"
 
−
|- class="even"
 
−
| class=" " |
 
−
| Column1
 
−
| Column2
 
−
| Column3
 
−
| Column4
 
−
|- class="odd"
 
−
| class=" " | Row1
 
−
| class="sshl_f" | 7
 
−
| class=" " |
 
−
| class=" " |
 
−
| class=" " |
 
−
|- class="even"
 
−
| class="  " | Row2
 
−
| class="sshl_f" | -3
 
−
| class=" " |
 
−
| class=" " |
 
−
| class=" " |
 
−
|- class="odd"
 
−
| Row3
 
−
| class="  SelectTD ChangeBGColor SelectTD" |
 
−
<div id="2Space_Handle" class="zhandles" title="Click and Drag to resize CALCI Column/Row/Cell. It is EZ!"></div><div id="2Space_Copy" class="zhandles" title="Click and Drag over to AutoFill other cells."></div><div id="2Space_Drag" class="zhandles" title="Click and Drag to Move/Copy Area.">[[Image:copy-cube.gif]]  </div>
 
−
| class=" " |
 
−
| class=" " |
 
−
| class=" " |
 
−
|- class="even"
 
−
| Row4
 
−
| class=" " |
 
−
| class=" " |
 
−
| class=" " |
 
−
| class=" " |
 
−
|- class="odd"
 
−
| class=" " | Row5
 
−
| class=" " |
 
−
| class=" " |
 
−
| class=" " |
 
−
| class=" " |
 
−
|- class="even"
 
−
| Row6
 
−
| class=" " |
 
−
| class=" " |
 
−
| class=" " |
 
−
| class=" " |
 
−
|}
 
−
 
 
−
<div align="left">[[Image:calci1.gif]]</div></div>
 
−
----
 

Latest revision as of 14:44, 19 July 2018

IMAGINARY(ComplexNumber)


  • is of the form .
    • IMAGINARY(), returns the imaginary coefficient of a complex number

Description

  • This function gives the imaginary coefficient of a complex number.
  • Complex number is a combination of real and an imaginary number.
  • Imaginary number is a real number which is multiplied with the imaginary unit , where .
  • When imaginary number is get adding to the real number , then it forms a complex number.
  • Also when we are squaring the imaginary number , it will give the negative real number .
  • For eg .
  • We can use COMPLEX function to convert the real and imaginary coefficients to a complex number.
  • A complex number is a imaginary number when the real part is zero.

ZOS

  • The syntax is to calculate IMAGINARY in ZOS Section is .
    • is of the form .
  • For e.g.,IMAGINARY("6-0.5i")
Imaginary

Examples

  1. =IMAGINARY("2+3i")=3
  2. =IMAGINARY("4-5i")=-5
  3. =IMAGINARY("3j")=3
  4. =IMAGINARY("7")=0

Related Videos

Complex Numbers

See Also

References

Imaginary Number



Retrieved from "http://wiki.zcubes.com/index.php?title=Manuals/calci/IMAGINARY&oldid=210697"