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. | ||
− | *In <math>IMSUM( | + | *In <math>IMSUM(), 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 [[Manuals/calci/COMPLEX| 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== | ==ZOS== | ||
− | *The syntax is to calculate sum of the complex numbers in ZOS is <math>IMSUM( | + | *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== |
Revision as of 15:41, 18 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 .
- 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.
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
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See Also
References