Difference between revisions of "Manuals/calci/IMSQRT"

Revision as of 23:26, 25 June 2014

IMSQRT(z)

Failed to parse (syntax error): {\displaystyle \sqrt{z}=\sqrt{x+iy}=\sqrt{r.e^{i\theta}}=\sqrt{{r}(cos(\frac{θ}{2})+isin(\frac{θ}{2})}}

where $r$ is the modulus of $z$ . $r={\sqrt {x^{2}+y^{2}}}$
And $\theta$ is the argument of $z$ . 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 θ=tan^{-1}(y/x)} also Failed to parse (syntax error): {\displaystyle θ∈(-\pi,\pi]} .
We can use COMPLEX function to convert real and imaginary number in to a complex number.

The syntax is to calculate square root of a complex number in ZOS is .
- $complexnumber$ is of the form $z=x+iy$
For e.g.,IMSQRT("9+10i")
IMSQRT(IMSUB("9+10i","-2-3i"))

@@ Line 1: / Line 1: @@
 <div style="font-size:30px">'''IMSQRT(z)'''</div><br/>
-*<math> z </math> is the complex number is of the form <math>x+iy</math>
+*<math> complex number </math> is of the form <math>z=x+iy</math>
@@ Line 12: / Line 12: @@
 *where <math>r</math> is the modulus of <math>z</math>. <math>r=\sqrt{x^2+y^2}</math>
 *And <math>\theta</math> is the argument of <math>z</math>. <math> θ=tan^{-1}(y/x)</math> also <math>θ∈(-\pi,\pi]</math>.
-*We can use COMPLEX function to convert real and imaginary number in to a complex number.
+*We can use [[Manuals/calci/COMPLEX| COMPLEX]]  function to convert real and imaginary number in to a complex number.
+==ZOS Section==
+*The syntax is to calculate square root of a complex number in ZOS is <math>IMSQRT(Complexnumber)</math>.
+**<math> complex number </math> is of the form <math>z=x+iy</math>
+*For e.g.,IMSQRT("9+10i")
+*IMSQRT(IMSUB("9+10i","-2-3i"))
 ==Examples==