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Line 1: − + + + + + + + + + + + − Syntax+ + + + + + − </div></div>+ − ----+ − <div id="4SpaceContent" align="left"><div class="ZEditBox" align="justify">+ + + − Remarks+ − + − </div></div> − ---- − <div id="2SpaceContent" align="left"><div class="ZEditBox" align="justify"> − − Examples − − </div></div> − ---- − <div id="8SpaceContent" align="left"><div class="ZEditBox" align="justify">'''<font face="Times New Roman">''''''''''''<font size="6"> </font>''' '''''''''</font>'''</div></div> − ---- − <div id="11SpaceContent" align="left"><div class="ZEditBox mceEditable" align="justify"> − − <font size="5">Description</font> − − </div></div> − ---- − <div id="5SpaceContent" class="zcontent" align="left"><div class="ZEditBox" align="justify"> − − <font color="#484848"><font face="Arial, sans-serif"><font size="2">This function calculates the quotient of two complex numbers in 'a + bi' or 'a +bj' text format.</font></font></font> − − </div></div> − ---- − <div id="10SpaceContent" class="zcontent" align="left"><div class="ZEditBox" align="justify"><font size="6">'''<font face="Arial">IMDIV</font>'''</font></div></div> − ---- − <div id="1SpaceContent" class="zcontent" align="left"><div class="ZEditBox" align="justify"> − − <font color="#484848"><font face="Arial, sans-serif"><font size="2">The quotient of two complex numbers is: </font></font></font> − − <font color="#484848">IMDIV(z1,z2)=(a+bi)/(c-di)=[(ac-bd)+(bc-ad)i] / (c<sup>2</sup>-d<sup>2</sup>)</font> − − </div></div> − ---- − <div id="6SpaceContent" class="zcontent" align="left"><div class="ZEditBox" align="justify"> <font color="#484848"><font face="Arial, sans-serif"><font size="2">'''IMDIV'''</font></font></font><font color="#484848"><font face="Arial, sans-serif"><font size="2">(</font></font></font><font color="#484848"><font face="Arial, sans-serif"><font size="2">'''IN1'''</font></font></font><font color="#484848"><font face="Arial, sans-serif"><font size="2">,</font></font></font><font color="#484848"><font face="Arial, sans-serif"><font size="2">'''IN2'''</font></font></font><font color="#484848"><font face="Arial, sans-serif"><font size="2">)</font></font></font> − − <font color="#484848"><font face="Arial, sans-serif"><font size="2">where IN1 and IN2 are the</font></font></font><font color="#484848"><font face="Arial, sans-serif"><font size="2"> complex numerator or dividend and the complex denominator or divisor.</font></font></font> − − </div></div> − ---- − <div id="9SpaceContent" class="zcontent" align="left"> − − {| id="TABLE3" class="SpreadSheet blue" − |- class="even" − | class=" " | − | Column1 − | Column2 − | Column3 − | Column4 − |- class="odd" − | class=" " | Row1 − | class="sshl_f" | 12.533333333333333+-15.066666666666666i − | class=" " | − | class=" " | − | class=" " | − |- class="even" − | class=" " | Row2 − | class="f52543 " | − | class=" SelectTD" | − <div id="9Space_Handle" title="Click and Drag to resize CALCI Column/Row/Cell. It is EZ!"></div><div id="9Space_Copy" title="Click and Drag over to AutoFill other cells."></div> − | class=" " | − | class=" " | − |- class="odd" − | Row3 − | class=" " | − | 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> − ---- − <div id="7SpaceContent" class="zcontent" align="left"> − − <font color="#484848"><font face="Arial, sans-serif"><font size="2">I.e.=IMDIV(“512+120i”,”12+24i”) is12.533+-15.067i</font></font></font> − − </div> − ----
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<div id="16SpaceContent" align="left"><div class="ZEditBox" align="justify">
<div style="font-size:30px">'''IMDIV(z1,z2)'''</div><br/>
*where 'z1' and 'z2' are complex numbers.
==Description==
*This function gives the division of two complex numbers.
*This function used to remove the I (imaginary unit) from the denominator.
*In IMDIV(z1,z2), where z1,z2 are the two complex numbers is in the form of z1=a+ib andz2=c+id, where a,b,c &d are real numbers i is the imaginary unit, i=sqrt(-1).
*To do the division of complex number we have follow the steps:step1: we have to write the complex number is in the fraction form.
*step 2: To find the conjugate of the denominator.
*step 3:To mutiply the numerator and denominator with conjugate.
i.e. IMDIV(z1,z2)=(a+ib)/(c+id)=((a+ib)/(c+id))*((c-id)/(c-id))
=[(ac+bd)/(c^2+d^2)]+[(bc-ad)i/[(c^2+d^2)]
==Examples==
#IMEXP("2+3i")=-7.315110094901102+1.0427436562359i
#IMEXP("4-5i")=15.4874305606508+52.355491418482i
#IMEXP("6")=403.428793492735
#IMEXP("2i")=-0.416146836547142+0.909297426825682i
#IMEXP("0")=1 andIMEXP("0i")=1
==See Also==
*[[Manuals/calci/COMPLEX | COMPLEX ]]
*[[Manuals/calci/IMAGINARY | IMAGINARY ]]
*[[Manuals/calci/IMREAL | IMREAL ]]
*[[Manuals/calci/EXP | EXP ]]
==References==
[http://en.wikipedia.org/wiki/Exponential_function| Exponential function]