Difference between revisions of "Manuals/calci/IMABS"
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| − | <div style="font-size:30px">'''IMABS( | + | <div style="font-size:30px">'''IMABS(ComplexNumber)'''</div><br/> |
| − | * | + | *<math>ComplexNumber</math> is of the form <math>x+iy</math> |
==Description== | ==Description== | ||
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*We can use [[Manuals/calci/COMPLEX | 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> | ||
| + | |||
| + | ==ZOS Section== | ||
| + | |||
| + | *The syntax is to calculate IMABS in ZOS is <math>IMABS(ComplexNumber)</math>. | ||
| + | **<math>ComplexNumber</math> is of the form <math>x+iy</math>. | ||
| + | **For e.g.,IMABS("5-7i")+IMABS("6+4i") | ||
==Examples== | ==Examples== | ||
Revision as of 02:33, 21 April 2014
IMABS(ComplexNumber)
- 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 ComplexNumber} is 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}}
ZOS Section
- The syntax is to calculate IMABS in ZOS 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(ComplexNumber)}
.
- 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 ComplexNumber} is 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} .
- For e.g.,IMABS("5-7i")+IMABS("6+4i")
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{6^2+8^2}} = 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