Difference between revisions of "Manuals/calci/IMABS"
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*Complex number <math>z=x+iy</math>, where <math>x</math> & <math>y</math> are real numbers and <math>i</math> is the imaginary unit <math>i=\sqrt{-1}</math>. | *Complex number <math>z=x+iy</math>, where <math>x</math> & <math>y</math> are real numbers and <math>i</math> is the imaginary unit <math>i=\sqrt{-1}</math>. | ||
*A complex number's absolute value is measured from zero on the complex number plane. | *A complex number's absolute value is measured from zero on the complex number plane. | ||
| − | *We can use COMPLEX function to convert real and imaginary number into a complex number. | + | *We can use [[Manuals/calci/COMPLEX | COMPLEX ]] function to convert real and imaginary number into a complex number. |
*The absolute value of a complex number is: <math>IMABS(z)=|z|=\sqrt{x^2+y^2}</math> | *The absolute value of a complex number is: <math>IMABS(z)=|z|=\sqrt{x^2+y^2}</math> | ||
Revision as of 22:56, 26 November 2013
IMABS(in)
- where 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 in} is the complex number of the form 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 x+iy}
Description
- This function gives the absolute value of a complex number of the form 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 x+iy} .
- Complex number 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 z=x+iy} , where 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 x} & 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 y} are real numbers and 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 i} is the imaginary unit 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 i=\sqrt{-1}} .
- A complex number's absolute value is measured from zero on the complex number plane.
- We can use COMPLEX function to convert real and imaginary number into a complex number.
- The absolute value of a complex number is: 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 IMABS(z)=|z|=\sqrt{x^2+y^2}}
Examples
- IMABS("6+8i") = 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 \sqrt{100}} = 10
- IMABS("5-7i") = 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 \sqrt{74}} = 8.60232
- IMABS("-3-5i")= 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 \sqrt{34}} = 5.83095