Difference between revisions of "Manuals/calci/IMLOG2"

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<div style="font-size:30px">'''IMLOG2(z)'''</div><br/>
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<div style="font-size:30px">'''IMLOG2(Complexnumber)'''</div><br/>
*<math>z</math> is the complex number is of the form <math>x+iy</math>  
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*<math>Complexnumber</math> is of the form <math>z=x+iy</math>  
  
 
==Description==
 
==Description==
 
*This function gives the binary logarithm of a complex number.
 
*This function gives the binary logarithm of a complex number.
*<math>IMLOG2(z)</math>, where <math>z</math> is the complex number in the form of <math>x+iy</math>. i.e. <math>x</math> & <math>y</math> are the real numbers.
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*<math>IMLOG2(Complexnumber)</math>, where Complexnumber is in the form of <math>z=x+iy</math>. i.e. <math>x</math> & <math>y</math> are the real numbers.
*<math>I</math> imaginary unit .<math>i=\sqrt{-1}</math>.  
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*And <math>I</math> is the imaginary unit .<math>i=\sqrt{-1}</math>.  
 
*Binary logarithm is the inverse function of <math>n ↦ 2n</math>.
 
*Binary logarithm is the inverse function of <math>n ↦ 2n</math>.
 
*Log base 2 is called Binary logarithm.  
 
*Log base 2 is called Binary logarithm.  
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*So <math>log2(x+iy)=(log_2 e)ln(x+iy)</math>.
 
*So <math>log2(x+iy)=(log_2 e)ln(x+iy)</math>.
 
*We can use COMPLEX function to convert real and imaginary number in to a complex number.
 
*We can use COMPLEX function to convert real and imaginary number in to a complex number.
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 +
==ZOS Section==
 +
*The syntax is to calculate Binary logarithm of a complex number is <math>IMLOG2(Complexnumber)</math>.
 +
**<math>Complexnumber</math>  is of the form <math>z=x+iy</math>.
 +
*For e.g imlog2("2.1-3.5i")
  
 
==Examples==
 
==Examples==

Revision as of 00:15, 25 June 2014

IMLOG2(Complexnumber)


  • is of the form

Description

  • This function gives the binary logarithm of a complex number.
  • , where Complexnumber is in the form of . i.e. & are the real numbers.
  • And is the imaginary unit ..
  • Binary logarithm is the inverse function of Failed to parse (syntax error): {\displaystyle 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 .
  • We can use COMPLEX function to convert real and imaginary number in to a complex number.

ZOS Section

  • The syntax is to calculate Binary logarithm of a complex number is .
    • is of the form .
  • For e.g imlog2("2.1-3.5i")

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

Binary Logarithm