Difference between revisions of "Manuals/calci/IMSUM"

Latest revision as of 15:54, 19 July 2018

IMSUM()

Parameters 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 z=a+ib} .
- IMSUM(), returns the sum of complex numbers

Description

This function gives the sum of the two or more complex numbers.
In 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 IMSUM()} , Parameters 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 z=a+ib} .
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 a } & 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 b } are the real numbers. 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}} .
In this function first parameter is required. From the second parameter are optional.
Consider two complex numbers z1 and z2 are 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 z1=a+ib} 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 z2=c+id} .
The addition of two 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 (a+ib)+(c+id)=(a+c)+(b+d)i } 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 a,b,c} 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 d } are real numbers.
We can use COMPLEX function to convert real and imaginary number in to a complex number.

ZOS

The syntax is to calculate sum of the complex numbers 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 IMSUM()}
- Parameters 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 z=a+ib} .

Examples

IMSUM("12+10i","8+16i")=20+26i
IMSUM("-7-12i","-10-4i")=-17-16i
IMSUM("-14i","10-4i")=10-18i
IMSUM("17","24+12i")=41+12i
IMSUM("12+10i","8+16i","5+2i")=25+28i

References

Complex number

List of Main Z Functions

Z3 home

@@ Line 1: / Line 1: @@
-<div style="font-size:30px">'''IMSUM(z1,z2,z3...)'''</div><br/>
+<div style="font-size:30px">'''IMSUM()'''</div><br/>
-* <math> z1,z2,z3</math> are the complex numbers is of the form <math>a+ib</math>
+*Parameters is of the form <math>z=a+ib</math>.
+**IMSUM(), returns the sum of complex numbers
 ==Description==
 *This function gives the sum of the two or more complex numbers.
-*IMSUM(z1,z2,....), Where <math>z1,z2,...</math>  are  the complex number is of the form "a+ib".
+*In <math>IMSUM()</math>, Parameters is  of the form <math>z=a+ib</math>.
-*where <math> a </math> & <math> b </math> are the real numbers.<math>i</math> imaginary unit .<math>i=\sqrt{-1}</math>.
+*where <math> a </math> & <math> b </math> are the real numbers. <math>i</math> is the imaginary unit. <math>i=\sqrt{-1}</math>.
-*In this function z1 is required. z2,z3,... are optional.
+*In this function first parameter is required. From the second parameter are optional.
-*Let z1=a+ib and z2=c+id.
+*Consider two complex numbers z1 and z2 are of the form <math>z1=a+ib</math> and <math>z2=c+id</math>.
-*The addition of two complex number is:<math>(a+ib)+(c+id)=(a+c)+(b+d)i </math> where a,b,c and d are real numbers.
+*The addition of two complex number is:<math>(a+ib)+(c+id)=(a+c)+(b+d)i </math> where <math>a,b,c</math> and <math>d </math>are real numbers.
-*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==
+*The syntax is to calculate sum of the complex numbers in ZOS is <math>IMSUM()</math>
+**Parameters is of the form <math>z=a+ib</math>.
 ==Examples==
@@ Line 17: / Line 23: @@
 #IMSUM("17","24+12i")=41+12i
 #IMSUM("12+10i","8+16i","5+2i")=25+28i
+==Related Videos==
+{{#ev:youtube|SfbjqVyQljk|280|center|IMSUM}}
 ==See Also==
@@ Line 25: / Line 35: @@
 ==References==
-[http://en.wikipedia.org/wiki/Binary_logarithm  Binary Logarithm]
+[http://en.wikipedia.org/wiki/Complex_number  Complex number]
+*[[Z_API_Functions | List of Main Z Functions]]
+*[[ Z3 |   Z3 home ]]