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. | ||
| − | *IMLOG2(z), | + | *<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>I<math> imaginary unit .<math>i=\sqrt{-1}<math>. |
| − | *Binary logarithm is the inverse function of n ↦ 2n. | + | *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. | ||
| − | *So log2(x+iy)=( | + | *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. | ||
Revision as of 05:33, 16 December 2013
IMLOG2(z)
- is the complex number is of the form
is the complex number is of the form 
Description
- This function gives the binary logarithm of a complex number.
- Failed to parse (syntax error): {\displaystyle 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>I<math> imaginary unit .<math>i=\sqrt{-1}<math>. *Binary logarithm is the inverse function of <math>n ↦ 2n<math>. *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 <math>log2(x+iy)=(log_2 e)ln(x+iy)} .
- We can use COMPLEX function to convert real and imaginary number in to a complex number.
Examples
- IMLOG2("2+3i")=1.85021985921295+1.41787163085485i
- IMLOG2("5-6i")=2.96536866900967-1.26388460522614i
- IMLOG2("15")=3.90689059590921
- IMLOG2("11i")=3.45943161890355+2.26618007108801i
- IMLOG2("0")=NULL
- Imln("8") for that it should consider the imaginary value is zero,but calci is not considering like EXCEL
See Also