Difference between revisions of "Manuals/calci/IMSUM"
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| − | <div style="font-size:30px">'''IMSUM( | + | <div style="font-size:30px">'''IMSUM()'''</div><br/> |
| − | * | + | *Parameters is of the form <math>z=a+ib</math>. |
| + | **IMSUM(), returns the sum of complex numbers | ||
| + | |||
==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()</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> 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 | + | *In this function first parameter is required. From the second parameter are optional. |
| − | * | + | *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 <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== | ||
| + | *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== | ==Examples== | ||
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#IMSUM("17","24+12i")=41+12i | #IMSUM("17","24+12i")=41+12i | ||
#IMSUM("12+10i","8+16i","5+2i")=25+28i | #IMSUM("12+10i","8+16i","5+2i")=25+28i | ||
| + | |||
| + | ==Related Videos== | ||
| + | |||
| + | {{#ev:youtube|SfbjqVyQljk|280|center|IMSUM}} | ||
==See Also== | ==See Also== | ||
| Line 25: | Line 35: | ||
==References== | ==References== | ||
| − | [http://en.wikipedia.org/wiki/ | + | [http://en.wikipedia.org/wiki/Complex_number Complex number] |
| + | |||
| + | |||
| + | |||
| + | |||
| + | *[[Z_API_Functions | List of Main Z Functions]] | ||
| + | |||
| + | *[[ Z3 | Z3 home ]] | ||
Latest revision as of 16:54, 19 July 2018
IMSUM()
- Parameters is of the form .
- IMSUM(), returns the sum of complex numbers
.
Description
- This function gives the sum of the two or more complex numbers.
- In , Parameters is of the form .
- where & are the real numbers. is the imaginary unit. .
- In this function first parameter is required. From the second parameter are optional.
- Consider two complex numbers z1 and z2 are of the form 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.
, Parameters is of the form 
& 
are the real numbers. 
is the imaginary unit. 
.
and 
.
where 
and 
are real numbers.ZOS
- The syntax is to calculate sum of the complex numbers in ZOS is
- Parameters is of the form .
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
Related Videos
See Also
References