Manuals/calci/IMSUM

IMSUM(Complexnumber1,Complexnumber2)

Description

This function gives the sum of the two or more complex numbers.
In $IMSUM(Complexnumber1,Complexnumber2),whereComplexnumbersareoftheform<math>z=a+ib$ .
where $a$ & $b$ are the real numbers. $i$ is the imaginary unit. $i={\sqrt {-1}}$ .
In this function $Complexnumber1$ is required. $Complexnumber2,Complexnumber3,...$ are optional.
Let $z1=a+ib$ and $z2=c+id$ .
The addition of two complex number is: $(a+ib)+(c+id)=(a+c)+(b+d)i$ where $a,b,c$ 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.

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(Complexnumber1,Complexnumber2)}
- 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 Complexnumbers} 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 z=a+ib}

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