Difference between revisions of "Manuals/calci/IMLOG2"

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==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), where z is the complex number in the form of <math>x+iy<math>. i.e. <math>x<math> & <math>y<math> are the real numbers.
+
*<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.
*<math>I<math> imaginary unit .<math>i=\sqrt{-1}<math>.  
+
*<math>I</math> 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.  
 
*To find the Binary logarithm of a complex number we have to calculate from the natural logarithm.
 
*To find the Binary logarithm of a complex number we have to calculate from the natural logarithm.

Revision as of 05:34, 16 December 2013

IMLOG2(z)


  • is the complex number is of the form

Description

  • This function gives the binary logarithm of a complex number.
  • , where is the complex number in the form of . i.e. & are the real numbers.
  • imaginary unit ..
  • Binary logarithm is the inverse function of Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\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.

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
  • Imln("8") for that it should consider the imaginary value is zero,but calci is not considering like EXCEL

See Also


References

Bessel Function