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
- 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