Difference between revisions of "Manuals/calci/IMSUM"
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| − | <div style="font-size:30px">'''IMSUM( | + | <div style="font-size:30px">'''IMSUM(Complexnumber1,Complexnumber2)'''</div><br/> |
| − | * <math> | + | *<math>Complexnumbers</math> are of the form <math>z=a+ib</math> |
==Description== | ==Description== | ||
*This function gives the sum of the two or more complex numbers. | *This function gives the sum of the two or more complex numbers. | ||
| − | *IMSUM( | + | *In <math>IMSUM(Complexnumber1,Complexnumber2), where Complexnumbers are of the form <math>z=a+ib</math>. |
*where <math> a </math> & <math> b </math> are the real numbers. <math>i</math> is the 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 <math> | + | *In this function <math>Complexnumber1</math> is required. <math>Complexnumber2,Complexnumber3,...</math> are optional. |
*Let <math>z1=a+ib</math> and <math>z2=c+id</math>. | *Let <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 <math>a,b,c</math> and <math>d </math>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 Section== | ||
| + | *The syntax is to calculate sum of the complex numbers in ZOS is <math>IMSUM(Complexnumber1,Complexnumber2)</math> | ||
| + | **<math>Complexnumbers</math> are of the form <math>z=a+ib</math> | ||
| + | *For e.g., | ||
==Examples== | ==Examples== | ||
#IMSUM("12+10i","8+16i")=20+26i | #IMSUM("12+10i","8+16i")=20+26i | ||
Revision as of 00:34, 27 June 2014
IMSUM(Complexnumber1,Complexnumber2)
- are of the form
are of the form 
Description
- This function gives the sum of the two or more complex numbers.
- In .
- where & are the real numbers. is the imaginary unit. .
- In this function is required. are optional.
- Let and .
- The addition of two complex number is: where and are real numbers.
- We can use COMPLEX function to convert real and imaginary number in to a complex number.
.
& 
are the real numbers. 
is the imaginary unit. 
.
is required. 
are optional.
and 
.
where 
and 
are real numbers.ZOS Section
- The syntax is to calculate sum of the complex numbers in ZOS is
- are of the form
- For e.g.,
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