Difference between revisions of "Manuals/calci/IMABS"

Latest revision as of 03:07, 23 October 2020

IMABS(ComplexNumber)

is of the form
- IMABS(),returns the absolute value (modulus) of a complex number

This function gives the absolute value of a complex number of the form $x+iy$ .
Complex number $z=x+iy$ , where $x$ & $y$ are real numbers and $i$ is the imaginary unit $i={\sqrt {-1}}$ .
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: $IMABS(z)=|z|={\sqrt {x^{2}+y^{2}}}$

The syntax is to calculate IMABS in ZOS is .
- $ComplexNumber$ is of the form $x+iy$ .
- For e.g.,IMABS("5-7i")+IMABS("6+4i")

Absolute Value of Imaginary Number

@@ Line 2: / Line 2: @@
 *<math>ComplexNumber</math> is of the form <math>x+iy</math>
+**IMABS(),returns the absolute value (modulus) of a complex number
 ==Description==
@@ Line 10: / Line 11: @@
 *The absolute value of a complex number is: <math>IMABS(z)=|z|=\sqrt{x^2+y^2}</math>
-==ZOS Section==
+==ZOS==
 *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> = 8.60232
+*IMABS("5-7i") = <math>\sqrt{74}</math> = 8.602325267042627
-*IMABS("-3-5i")= <math>\sqrt{34}</math> = 5.83095
+*IMABS("-3-5i")= <math>\sqrt{34}</math> = 5.830951894845301
+==Related Videos==
+{{#ev:youtube|yvzyC4VBpUU|280|center|Absolute Value of a Complex Number}}
 ==See Also==
@@ Line 29: / Line 35: @@
 ==References==
 [http://en.wikipedia.org/wiki/Absolute_value  Absolute Value]
+*[[Z_API_Functions | List of Main Z Functions]]
+*[[ Z3 |   Z3 home ]]