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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 exponential of a complex number in a+ bj 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">IMEXP</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 exponential of a complex number is: </font></font></font> − − <font color="#484848">IMEXP(z)=e<sup>(x+yi)</sup> = e<sup>x</sup> e<sup>yi</sup> =e<sup>x</sup> (cos y + i sin y)</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">'''IMEXP'''</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">'''IN'''</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 IN</font></font></font><font color="#484848"><font face="Arial, sans-serif"><font size="2"> is the complex number.</font></font></font> − − </div></div> − ---- − <div id="12SpaceContent" class="zcontent" align="left"> − − {| id="TABLE1" class="SpreadSheet blue" − |- class="even" − | class=" " | − | Column1 − | Column2 − | Column3 − | Column4 − |- class="odd" − | class=" " | Row1 − | class="sshl_f" | 3.9923240484412714+6.217676312367968i − | class=" sshl_f " | − | class=" " | − | class=" " | − |- class="even" − | class=" " | Row2 − | class="f52543 " | − | class=" SelectTD" | − <div id="12Space_Handle" title="Click and Drag to resize CALCI Column/Row/Cell. It is EZ!"></div><div id="12Space_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">Let's see an example</font></font></font> − − <font color="#484848"><font face="Arial, sans-serif"><font size="2"><nowiki>=IMEXP(“2+i”) is3.992+6.2177i</nowiki></font></font></font> − − </div> − ----
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<div style="font-size:30px">'''IMEXP(z)'''</div><br/>
*where 'z' is the complex number.
==Description==
*This function gives the exponential of a complex number.
*Here IMEXP(z),where z is the complex number of the form z=x+iy,
*x&y are real numbers&I is the imaginary unit,i=sqrt(-1).
*Euler's formula states that e^ix=cosx+isinx, for any real number x and e is the base of the natural logarithm.
*The approximate value of the constant e=2.718281828459045 and it is equal to e^1. *So the exponential of a complex number is : IMEXP(z)=e^z=e^(x+iy)=e^x.e^iy=e^x.(cosy+isiny). *=e^x.cosy+ie^x.siny. When imaginary part is '0' then it will give the exponent value of the real number. *i.e.IMEXP(z)=EXP(z) when imaginary number (iy) is '0'.
*We can use COMPLEX function to convert the real and imginary coefficients to a complex number.
==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]