Difference between revisions of "Manuals/calci/IMAGINARY"

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(Created page with "<div id="6SpaceContent" class="zcontent" align="left"> '''IMAGINARY'''(ComplexNumber) where, '''ComplexNumber''' - is a complex number for which you use imaginary co...")
 
 
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<div style="font-size:30px">'''IMAGINARY(ComplexNumber)'''</div><br/>
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*<math>ComplexNumber</math>  is of the form <math>x+iy</math>.
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**IMAGINARY(), returns the imaginary coefficient of a complex number
  
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'''IMAGINARY'''(ComplexNumber)
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==Description==
  
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where,
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*This function gives the imaginary coefficient of a complex number.
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*Complex number is a combination of real and an imaginary number.
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*Imaginary number is a real number which is multiplied with the imaginary unit <math>i</math>, where <math>i=\sqrt{-1}</math>.
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*When imaginary number <math>bi</math> is get adding to the real number <math>a</math>, then it forms a complex number.
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*Also when we are squaring the imaginary number <math>bi</math>, it will give the negative real number <math>{-b}^2</math>.
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*For eg <math>(5i)^2=-25</math>.
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*We can use [[Manuals/calci/COMPLEX | COMPLEX]] function to convert the real and imaginary coefficients to a complex number.
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*A complex number is a imaginary number when the real part is zero.
  
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'''ComplexNumber''' - is a complex number for which you use imaginary coefficient.
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==ZOS==
  
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</div>
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*The syntax is to calculate IMAGINARY in ZOS Section is <math>IMAGINARY(ComplexNumber)</math>.
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----
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**<math>ComplexNumber</math>  is of the form <math>x+iy</math>.
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*For e.g.,IMAGINARY("6-0.5i")
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{{#ev:youtube|Ijhl4ekADac|280|center|Imaginary}}
  
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Calci returns the imaginary coefficient of a complex number in x+yi format.
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==Examples==
  
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</div>
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#=IMAGINARY("2+3i")=3
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----
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#=IMAGINARY("4-5i")=-5
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#=IMAGINARY("3j")=3
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#=IMAGINARY("7")=0
  
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Use COMPLEX function to convert real and imaginary coefficient into a complex number.
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==Related Videos==
  
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</div>
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{{#ev:youtube|SP-YJe7Vldo|280|center|Complex Numbers}}
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----
 
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<div id="12SpaceContent" class="zcontent" align="left"><div class="ZEditBox" align="left">
 
  
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IMAGINARY
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==See Also==
  
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<font size="6"></font>
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*[[Manuals/calci/COMPLEX  | COMPLEX ]]
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*[[Manuals/calci/IMREAL  | IMREAL ]]
  
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</div></div>
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==References==
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----
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[http://en.wikipedia.org/wiki/Imaginary_number  Imaginary Number]
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<div id="8SpaceContent" class="zcontent" align="left">
 
  
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Lets see an example in (Column1, Row1)
 
  
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<nowiki>=IMAGINARY("5+7i")</nowiki>
 
  
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IMAGINARY returns 7.
 
  
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Consider an another example(Column1, Row2)
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*[[Z_API_Functions | List of Main Z Functions]]
  
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<nowiki>=IMAGINARY("-3i")</nowiki>
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*[[ Z3 |   Z3 home ]]
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It returns -3.
 
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</div>
 
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<div id="10SpaceContent" class="zcontent" align="left"><div class="ZEditBox" align="justify">Syntax </div><div class="ZEditBox"><center></center></div></div>
 
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<div id="4SpaceContent" class="zcontent" align="left"><div class="ZEditBox" align="justify">Remarks </div></div>
 
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<div id="3SpaceContent" class="zcontent" align="left"><div class="ZEditBox" align="justify">Examples </div></div>
 
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<div id="11SpaceContent" class="zcontent" align="left"><div class="ZEditBox" align="justify">Description </div></div>
 
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{| id="TABLE3" class="SpreadSheet blue"
 
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|- class="even"
 
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| class=" " |
 
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| Column1
 
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| Column2
 
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| Column3
 
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| Column4
 
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|- class="odd"
 
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| class=" " | Row1
 
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| class="sshl_f" | 7
 
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| class="  " | Row2
 
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| class="  SelectTD ChangeBGColor SelectTD" |
 
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<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>
 
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<div align="left">[[Image:calci1.gif]]</div></div>
 
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Latest revision as of 15:44, 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



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