Difference between revisions of "Manuals/calci/IMSUM"

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*IMSUM(z1,z2,...), where <math>z1,z2,...</math>  are  the complex number is of the form <math>a+ib</math>.
 
*IMSUM(z1,z2,...), where <math>z1,z2,...</math>  are  the complex number is of the form <math>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 z1 is required. z2,z3... are optional.
+
*In this function <math>z1</math> is required. <math>z2,z3...</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.

Revision as of 23:50, 25 December 2013

IMSUM(z1,z2,z3...)


  • are the complex numbers is of the form

Description

  • This function gives the sum of the two or more complex numbers.
  • IMSUM(z1,z2,...), where are the complex number is of the form .
  • 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.

Examples

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

See Also

References

Binary Logarithm