Difference between revisions of "Manuals/calci/IMSUM"

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<div style="font-size:30px">'''IMSUM()'''</div><br/>
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*Parameters is of the form <math>z=a+ib</math>.
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**IMSUM(), returns the sum of complex numbers
  
Syntax
 
  
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==Description==
----
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*This function gives the sum of the two or more complex numbers.
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*In <math>IMSUM()</math>, Parameters is  of the form <math>z=a+ib</math>.
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*where <math> a </math> & <math> b </math> are the real numbers. <math>i</math> is the imaginary unit. <math>i=\sqrt{-1}</math>.
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*In this function first parameter is required. From the second parameter are optional.
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*Consider two complex numbers z1 and z2 are of the form <math>z1=a+ib</math> and <math>z2=c+id</math>.
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*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.
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*We can use [[Manuals/calci/COMPLEX| COMPLEX]]  function to convert real and imaginary number in to a complex number.
  
Remarks
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==ZOS==
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*The syntax is to calculate sum of the complex numbers in ZOS is <math>IMSUM()</math>
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**Parameters is of the form <math>z=a+ib</math>.
  
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==Examples==
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#IMSUM("12+10i","8+16i")=20+26i
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#IMSUM("-7-12i","-10-4i")=-17-16i
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#IMSUM("-14i","10-4i")=10-18i
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#IMSUM("17","24+12i")=41+12i
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#IMSUM("12+10i","8+16i","5+2i")=25+28i
  
Examples
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==Related Videos==
  
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{{#ev:youtube|SfbjqVyQljk|280|center|IMSUM}}
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<div id="8SpaceContent" align="left"><div class="ZEditBox" align="justify">'''<font face="Times New Roman">''''''''''''<font size="6"> </font>''' '''''''''</font>'''</div></div>
 
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<font size="5">Description</font>
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==See Also==
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*[[Manuals/calci/IMREAL  | IMREAL ]]
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*[[Manuals/calci/IMSUB  | IMSUB ]]
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*[[Manuals/calci/IMAGINARY  | IMAGINARY ]]
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*[[Manuals/calci/COMPLEX  | COMPLEX ]]
  
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==References==
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[http://en.wikipedia.org/wiki/Complex_number  Complex number]
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<font color="#484848"><font face="Arial, sans-serif"><font size="2">This function calculates the sum of two or more complex numbers in a + bi or a+ bj text format.</font></font></font>
 
  
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<div id="10SpaceContent" class="zcontent" align="left"><div class="ZEditBox" align="justify"><font size="6"> '''<font face="Arial">IMSUM</font>'''</font></div></div>
 
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<font color="#484848"><font face="Arial, sans-serif"><font size="2">The sum of two complex numbers is: </font></font></font>
 
  
<font color="#484848">(a+b<sub>1</sub>)+(c+d<sub>1</sub>)=(a+c)+(b+d)i</font>
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*[[Z_API_Functions | List of Main Z Functions]]
  
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*[[ Z3 |  Z3 home ]]
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<font color="#484848"><font face="Arial, sans-serif"><font size="2">Let's see an example</font></font></font>
 
 
 
<font color="#000080"><font face="Arial, sans-serif"><font size="2">I.e. =IMSUM(“7+6i”,”2-4i”) is 9+2i</font></font></font>
 
 
 
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<div id="6SpaceContent" class="zcontent" align="left"><div class="ZEditBox" align="justify"> <font color="#484848"><font face="Arial, sans-serif"><font size="2">'''IMSUM'''</font></font></font><font color="#484848"><font face="Arial, sans-serif"><font size="2">(</font></font></font><font color="#484848"><font face="Arial, sans-serif"><font size="2">'''IN1'''</font></font></font><font color="#484848"><font face="Arial, sans-serif"><font size="2">,'''IN2,...)'''</font></font></font>''' '''
 
 
 
<font color="#484848"><font face="Arial, sans-serif"><font size="2">where IN1,IN2,...</font></font></font><font color="#484848"><font face="Arial, sans-serif"><font size="2">   are the complex numbers to add.</font></font></font>
 
 
 
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<div align="left">[[Image:calci1.gif]]</div></div>
 
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Latest revision as of 15:54, 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.

ZOS

  • The syntax is to calculate sum of the complex numbers in ZOS is
    • Parameters is of the form .

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

Related Videos

IMSUM

See Also

References

Complex number