Difference between revisions of "Manuals/calci/IMABS"
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(Created page with "<div id="6SpaceContent" class="zcontent" align="left"> <font color="#000000"><font face="Arial, sans-serif"><font size="2">'''IMABS'''</font></font><font face="Arial, sans-...") |
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| − | <div | + | <div style="font-size:30px">'''IMABS(ComplexNumber)'''</div><br/> |
| − | < | + | *<math>ComplexNumber</math> is of the form <math>x+iy</math> |
| + | **IMABS(),returns the absolute value (modulus) of a complex number | ||
| − | < | + | ==Description== |
| + | *This function gives the absolute value of a complex number of the form <math>x+iy</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. | ||
| + | *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> | ||
| − | + | ==ZOS== | |
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| − | < | + | *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") | ||
| + | {{#ev:youtube|h6yVa1aycOg|280|center|Absolute Value of Imaginary Number}} | ||
| − | + | ==Examples== | |
| − | < | + | *IMABS("6+8i") = <math>\sqrt{6^2+8^2}</math> = <math>\sqrt{100}</math> = 10 |
| + | *IMABS("5-7i") = <math>\sqrt{74}</math> = 8.602325267042627 | ||
| + | *IMABS("-3-5i")= <math>\sqrt{34}</math> = 5.830951894845301 | ||
| − | + | ==Related Videos== | |
| − | + | {{#ev:youtube|yvzyC4VBpUU|280|center|Absolute Value of a Complex Number}} | |
| − | + | ==See Also== | |
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| − | + | *[[Manuals/calci/ABS | ABS ]] | |
| + | *[[Manuals/calci/COMPLEX | COMPLEX ]] | ||
| − | + | ==References== | |
| − | + | [http://en.wikipedia.org/wiki/Absolute_value Absolute Value] | |
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| − | + | *[[Z_API_Functions | List of Main Z Functions]] | |
| − | + | *[[ Z3 | Z3 home ]] | |
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Latest revision as of 04:07, 23 October 2020
IMABS(ComplexNumber)
- is of the form
- IMABS(),returns the absolute value (modulus) of a complex number
is of the form 
Description
- This function gives the absolute value of a complex number of the form .
- Complex number , where & are real numbers and is the imaginary unit .
- 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:
, where 
& 
are real numbers and 
is the imaginary unit 
.
ZOS
- The syntax is to calculate IMABS in ZOS is .
- is of the form .
- For e.g.,IMABS("5-7i")+IMABS("6+4i")
.
Examples
- IMABS("6+8i") = = = 10
- IMABS("5-7i") = = 8.602325267042627
- IMABS("-3-5i")= = 5.830951894845301
= 
= 10
= 8.602325267042627
= 5.830951894845301Related Videos
See Also
References