Difference between revisions of "Manuals/calci/IMLOG2"

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<div style="font-size:30px">'''IMLOG2(z)'''</div><br/>
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*<math>z</math> is the complex number is of the form <math>x+iy</math>  
  
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Syntax
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==Description==
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*This function gives the binary logarithm of a complex number.
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*IMLOG2(z),Where z is the complex number in the form of "x+iy".i.e. x&y are the real numbers.
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*'I' imaginary unit .i=sqrt(-1).
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*Binary logarithm is the inverse function of n ↦ 2n.
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*Log base 2 is called Binary logarithm.
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*To find the Binary logarithm of a complex number we have to calculate from the natural logarithm.
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*So log2(x+iy)=(log2 e)ln(x+iy).We can use COMPLEX function to convert real and imaginary number in to a complex number.
  
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==Examples==
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Remarks
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#IMLOG2("2+3i")=1.85021985921295+1.41787163085485i
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#IMLOG2("5-6i")=2.96536866900967-1.26388460522614i
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#IMLOG2("15")=3.90689059590921
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#IMLOG2("11i")=3.45943161890355+2.26618007108801i
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#IMLOG2("0")=NULL
  
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==See Also==
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*[[Manuals/calci/IMLOG10  | IMLOG10 ]]
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*[[Manuals/calci/LOG2  | LOG2 ]]
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*[[Manuals/calci/COMPLEX  | COMPLEX ]]
  
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Examples
 
  
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==References==
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[http://en.wikipedia.org/wiki/Bessel_function Bessel Function]
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<div id="8SpaceContent" align="left"><div class="ZEditBox" align="justify">'''<font face="Times New Roman">''''''''''''<font size="6"> </font>''' '''''''''</font>'''</div></div>
 
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<font size="5">Description</font>
 
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<font color="#484848"><font face="Arial, sans-serif"><font size="2">This function calculates the base-2 logarithm of a complex number in a + bi or a + bj text format.</font></font></font>
 
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<div id="10SpaceContent" class="zcontent" align="left"><div class="ZEditBox" align="justify"><font size="6">'''<font face="Arial">IMLOG2</font>'''</font></div></div>
 
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<font color="#484848"><font face="Arial, sans-serif"><font size="2">The base-2 logarithm of a complex number can be calculated from the natural logarithm as follows: </font></font></font>
 
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<font color="#484848" face="Arial">log<sub>2</sub> (x+yi) = (log<sub>2</sub>e)1n (x+yi)</font>
 
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<font color="#484848"><font face="Arial, sans-serif"><font size="2">'''IMLOG2'''</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>
 
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<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 a complex number .</font></font></font>
 
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<div align="left">[[Image:calci1.gif]]</div></div>
 
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<font color="#484848"><font face="Arial, sans-serif"><font size="2">Let's see an example.</font></font></font>
 
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<font color="#484848"><font face="Arial, sans-serif"><font size="2">I.e.=IMLOG2(“5+2i”) is 2.42899+0.54895i</font></font></font>
 
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Revision as of 04:13, 16 December 2013

IMLOG2(z)


  • is the complex number is of the form

Description

  • This function gives the binary logarithm of a complex number.
  • IMLOG2(z),Where z is the complex number in the form of "x+iy".i.e. x&y are the real numbers.
  • 'I' imaginary unit .i=sqrt(-1).
  • Binary logarithm is the inverse function of n ↦ 2n.
  • Log base 2 is called Binary logarithm.
  • To find the Binary logarithm of a complex number we have to calculate from the natural logarithm.
  • So log2(x+iy)=(log2 e)ln(x+iy).We can use COMPLEX function to convert real and imaginary number in to a complex number.

Examples

  1. IMLOG2("2+3i")=1.85021985921295+1.41787163085485i
  2. IMLOG2("5-6i")=2.96536866900967-1.26388460522614i
  3. IMLOG2("15")=3.90689059590921
  4. IMLOG2("11i")=3.45943161890355+2.26618007108801i
  5. IMLOG2("0")=NULL

See Also


References

Bessel Function

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