Manuals/calci/IMLN - Revision history

Devika at 21:30, 16 July 2018

2018-07-16T21:30:16Z

Jayaram at 13:09, 13 March 2017

2017-03-13T13:09:32Z

Devika: /* ZOS */

2017-01-20T19:59:04Z

ZOS

Swapna at 19:42, 12 June 2015

2015-06-12T19:42:06Z

Devika: /* ZOS Section */

2015-06-03T17:08:05Z

ZOS Section

Devika: /* Examples */

2015-02-16T08:44:10Z

Examples

Abin: /* ZOS Section */

2014-07-03T06:41:20Z

ZOS Section

Devika: /* Description */

2014-06-23T08:58:26Z

Description

Devika at 08:55, 23 June 2014

2014-06-23T08:55:02Z

Devika at 06:06, 23 June 2014

2014-06-23T06:06:05Z

@@ Line 1: / Line 1: @@
 <div style="font-size:30px">'''IMLN(Complexnumber)'''</div><br/>
-*<math>Complexnumber</math> is of the form <math>z=x+iy</math>
+*<math>Complexnumber</math> is of the form <math>z=x+iy</math>.
 ==Description==

← Older revision		Revision as of 13:09, 13 March 2017
Line 36:		Line 36:
	==References==		==References==
	[http://en.wikipedia.org/wiki/Imaginary_Logarithms Imaginary Logarithms]		[http://en.wikipedia.org/wiki/Imaginary_Logarithms Imaginary Logarithms]
		+
		+
		+
		+	*[[Z_API_Functions \| List of Main Z Functions]]
		+
		+	*[[ Z3 \| Z3 home ]]

@@ Line 15: / Line 15: @@
 *The syntax is to calculate the natural logarithm of a complex number in ZOS is <math>IMLN(Complexnumber)</math>.
 **<math>Complexnumber</math> is of the form <math>z=x+iy</math>
-*For e.g.,IMLN(("10+17i")
+*For e.g.,IMLN("10+17i")
 {{#ev:youtube|6JwQLlhPwi4|280|center|Natural Logarithm of a Complex Number}}

@@ Line 24: / Line 24: @@
 #IMLN("4")=1.38629436111989 +0i
 #IMLN("10i")=2.30258509299405+1.5707963267949i
 ==See Also==

@@ Line 12: / Line 12: @@
 *We can use [[Manuals/calci/COMPLEX| COMPLEX]] function to convert real and imaginary number in to a complex number.
-==ZOS Section==
+==ZOS==
 *The syntax is to calculate the natural logarithm of a complex number in ZOS is <math>IMLN(Complexnumber)</math>.
 **<math>Complexnumber</math> is of the form <math>z=x+iy</math>

@@ Line 22: / Line 22: @@
 #IMLN("3-2i")=1.28247467873077-0.588002603547568i
 #IMLN("6+7i")=2.22132562824516+0.862170054667226i
-#IMLN("4")=1.38629436111989 But calci is not considering the zero value of imaginary value of z.
+#IMLN("4")=1.38629436111989 +0i
 #IMLN("10i")=2.30258509299405+1.5707963267949i

@@ Line 10: / Line 10: @@
 *If <math>z = x+iy</math> with <math>x</math> & <math>y</math> are real numbers then natural logarithm of a complex number :
 <math>ln(z)= w = ln(|z|) + iarg(z) = ln(\sqrt{x^2+y^2}+itan^{-1}(\frac{y}{x})</math>                                                                                                                            adding integer multiples of <math>2\pi i</math> gives all the others.
-*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==

@@ Line 1: / Line 1: @@
-<div style="font-size:30px">'''IMLN(z)'''</div><br/>
+<div style="font-size:30px">'''IMLN(Complexnumber)'''</div><br/>
-*<math>z</math> is the complex number is of the form <math>x+iy</math>
+*<math>Complexnumber</math> is of the form <math>z=x+iy</math>
 ==Description==
 *This function gives the Natural Logarithm of a complex number.
-*In IMLN(z), where <math>z</math> is the complex number in the form of <math>x+iy</math>. i.e <math>x</math> & <math>y</math> are the real numbers.
+*In <math>IMLN(Complexnumber)</math>, where Complexnumber is  in the form of <math>z=x+iy</math>. i.e <math>x</math> & <math>y</math> are the real numbers.
-*<math>I</math> imaginary unit <math>i=\sqrt{-1}</math>.
+*And <math>I</math> is the imaginary unit <math>i=\sqrt{-1}</math>.
 *A logarithm of <math>z</math> is a complex number <math>w</math> such that <math>z = e^w</math> and it is denoted by <math>ln(z)</math>.
 *If <math>z = x+iy</math> with <math>x</math> & <math>y</math> are real numbers then natural logarithm of a complex number :
 <math>ln(z)= w = ln(|z|) + iarg(z) = ln(\sqrt{x^2+y^2}+itan^{-1}(\frac{y}{x})</math>                                                                                                                            adding integer multiples of <math>2\pi i</math> gives all the others.
 *We can use COMPLEX function to convert real and imaginary number in to a complex number.
 ==Examples==