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Line 1: − + + + + + + + − <font color="#000000"><font face="Arial, sans-serif"><font size="2">The conjugate of a complex number is: </font></font></font>+ + + + + + + + + + − </div>+ − ----+ − <div id="12SpaceContent" class="zcontent" align="left"><div class="ZEditBox" align="left">+ + − IMCONJUGATE+ − + − </div></div> − ---- − <div id="8SpaceContent" class="zcontent" align="left"> − − <font color="#000000"><font face="Arial, sans-serif"><font size="2">Lets see an example,</font></font></font> − − <font color="#000000"><font face="Arial, sans-serif"><font size="2">IMCONJUGATE(iN)</font></font></font> − − <font color="#000000"><font face="Arial, sans-serif"><font size="2"><nowiki>=IMCONJUGATE("2+3i") is 2+-3i</nowiki></font></font></font> − − </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="5SpaceContent" class="zcontent" align="left"> − − <font color="#000000"><font face="Arial, sans-serif"><font size="2">This function returns the complex conjugate of a complex number.</font></font></font> − − </div> − ---- − <div id="1SpaceContent" class="zcontent" align="left"> − − {| id="TABLE1" class="SpreadSheet blue" − |- class="even" − | class=" " | − <div id="1Space_Copy" title="Click and Drag over to AutoFill other cells."></div> − − | class=" " | Column2 − | class=" " | Column3 − | class=" " | Column4 − |- class="odd" − | class=" " | Row1 − | class="sshl_f" | 2+-3i − | class="sshl_f" | − | class="sshl_f" | − | class="sshl_f" | − |- class="even" − | class=" " | Row2 − | class="sshl_fSelectTD SelectTD" | − | class="sshl_f" | − | class="sshl_f" | − | class="sshl_f" | − |- class="odd" − | Row3 − | class="sshl_f" | − | class="sshl_f" | − | class="sshl_f" | − | class="sshl_f" | − |- class="even" − | Row4 − | class="sshl_f" | − | class="sshl_f" | − | class="sshl_f" | − | class="sshl_f" | − |- class="odd" − | class=" " | Row5 − | class="sshl_f" | − | class="sshl_f" | − | class="sshl_f" | − | class="sshl_f" | − |- class="even" − | Row6 − | class="sshl_f" | − | class="sshl_f" | − | class="sshl_f" | − | class="sshl_f" | − |} − − <div align="left">[[Image:calci1.gif]]</div></div> − ---- − <div id="6SpaceContent" class="zcontent" align="left"> <font color="#000000"><font face="Arial, sans-serif"><font size="2">'''IMCONJUGATE'''</font></font><font face="Arial, sans-serif"><font size="2">(</font></font><font face="Arial, sans-serif"><font size="2">'''iN'''</font></font><font face="Arial, sans-serif"><font size="2">)</font></font></font> − − <font color="#000000"><font face="Arial, sans-serif"><font size="2">Where 'iN' is a complex number.</font></font></font> − − </div> − ----
Manuals/calci/IMCONJUGATE (view source)
Revision as of 11:20, 23 November 2013
, 11:20, 23 November 2013no edit summary
<div id="7SpaceContent" class="zcontent" align="left">
<div style="font-size:30px">'''IMCONJUGATE(z)'''</div><br/>
*where 'z' is the complex number.
==Description==
*This function gives the conjugate of a complex number.
*The complex number z=a+bi, then IMCONJUGATE(a+bi)=z(bar)=a-bi and it is denoted by z(bar) or z^*.
*So complex number and complex conjugate both also having same real number and imaginary number with
*the equal magnitude and opposite sign of a imaginary number.Also
1. z=z(bar) iff imaginary number is '0' and z(bar)(bar)=z
2.|z(bar)|=|z| and|z|^2=z.z(bar)=z(bar).z
3. Real part (a)=z+z(bar)/2
4. Imaginary part(b)=z-z(bar)/2i.We can use COMPLEX function to convert the real and imginary coefficients to a complex number.
==Examples==
*IMCONJUGATE("3+4i")=3+-4i
*IMCONJUGATE("6-7i")=6+7i
*IMCONJUGATE("2")=2+0i
*IMCONJUGATE("8j")=0+-8j
*IMCONJUGATE("5+0i")=5+0i
==See Also==
*[[Manuals/calci/COMPLEX | COMPLEX ]]
*[[Manuals/calci/IMREAL | IMREAL ]]
*[[Manuals/calci/IMAGINARY | IMAGINARY ]]
==References==
[http://en.wikipedia.org/wiki/Exponential_function| Exponential function]
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