Difference between revisions of "Manuals/calci/IMPRODUCT"

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<div style="font-size:30px">'''IMPRODUCT()'''</div><br/>
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*Parameters are of the form <math>z=a+ib</math>.
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**IMPRODUCT(),returns the product of from 2 to 29 complex numbers.
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==Description==
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*This function gives the product of the complex numbers.
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*In <math>IMPRODUCT()</math>, where  parameters are  in the form of <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 CALCI we can find the product of 2 to 29 Complex numbers.
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*The multiplication of two complex numbers is a complex number.
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*Let <math>z1=a+ib</math> and <math>z2=c+id</math>.
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*Then the product of two complex number is <math>z1.z2=(a+ib)(c+id)=(ac-bd)+(ad+bc)i</math> .
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*In this function first parameter is required. From the second parameter are optional.
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*We can use [[Manuals/calci/COMPLEX| COMPLEX]]  function to convert  real and imaginary number in to a complex number.
  
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Syntax
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==ZOS==
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*The syntax is to calculate product of the complex numbers in ZOS is <math>IMPRODUCT()</math>
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**Parameters are of the form <math>z=a+ib</math>
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*For e.g., IMPRODUCT("2+3i","4+5i","8+7i","10-14i")
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{{#ev:youtube|TWYVYlQWIoc|280|center|Improduct}}
  
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==Examples==
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Remarks
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#=IMPRODUCT("1+3i","5+2i") = -1+17i
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#=IMPRODUCT("i","3-i") = 1+3i
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#=IMPRODUCT("5","-2+4i") = -10+20i
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#=IMPRODUCT("2+3i","4+6i","3+5i") = -150+22i
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#=IMPRODUCT("-6-2i","-1-i") = 4+8i
  
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==Related Videos==
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Examples
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{{#ev:youtube|cWn6g8Qqvs4|280|center|IMPRODUCT}}
  
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==See Also==
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*[[Manuals/calci/IMREAL  | IMREAL ]]
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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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*[[Manuals/calci/IMSUM  | IMSUM ]]
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*[[Manuals/calci/IMAGINARY  | IMAGINARY ]]
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*[[Manuals/calci/COMPLEX  | COMPLEX ]]
  
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<font size="5">Description</font>
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==References==
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*[http://en.wikipedia.org/wiki/Imaginary_number  Imaginary number]
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*[http://en.wikipedia.org/wiki/Dot_product  Dot product]
  
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<font color="#484848"><font face="Arial, sans-serif"><font size="2">This function calculates the product of 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">IMPRODUCT</font>'''</font></div></div>
 
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<font color="#484848"><font face="Arial, sans-serif"><font size="2">The product of two complex numbers is:</font></font></font>
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*[[Z_API_Functions | List of Main Z Functions]]
  
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<font color="#484848">(a+b<sub>1</sub>)(c+d<sub>1</sub>)=(ac-bd)+(ad+bc)i</font>
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*[[ Z3 |  Z3 home ]]
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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">MPRODUCT</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> '''
 
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<font color="#484848"><font face="Arial, sans-serif"><font size="2">IN1, IN2,…</font></font></font><font color="#484848"><font face="Arial, sans-serif"><font size="2">   are complex numbers to multiply.</font></font></font>
 
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| class="sshl_f" | 41+0i
 
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| class="sshl_f" | 18+-2i
 
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<div align="left">[[Image:calci1.gif]]</div></div>
 
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<font color="#484848"><font face="Arial, sans-serif"><font size="2">Let's see an example.</font></font></font>
 
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<font color="#484848"><font face="Arial, sans-serif"><font size="2">I.e.=IMPRODUCT(“5+4i”,”5-4i”) is 41-0i</font></font></font>
 
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<font color="#484848"><font face="Arial, sans-serif"><font size="2">///rly =IMPRODUCT(“5+4i”,”2-2i”) is 18+-2i</font></font></font>
 
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Latest revision as of 04:04, 2 November 2020

IMPRODUCT()


  • Parameters are of the form .
    • IMPRODUCT(),returns the product of from 2 to 29 complex numbers.

Description

  • This function gives the product of the complex numbers.
  • In , where parameters are in the form of .
  • where & are the real numbers. is the imaginary unit ..
  • In CALCI we can find the product of 2 to 29 Complex numbers.
  • The multiplication of two complex numbers is a complex number.
  • Let and .
  • Then the product of two complex number is .
  • In this function first parameter is required. From the second parameter are optional.
  • We can use COMPLEX function to convert real and imaginary number in to a complex number.

ZOS

  • The syntax is to calculate product of the complex numbers in ZOS is
    • Parameters are of the form
  • For e.g., IMPRODUCT("2+3i","4+5i","8+7i","10-14i")
Improduct

Examples

  1. =IMPRODUCT("1+3i","5+2i") = -1+17i
  2. =IMPRODUCT("i","3-i") = 1+3i
  3. =IMPRODUCT("5","-2+4i") = -10+20i
  4. =IMPRODUCT("2+3i","4+6i","3+5i") = -150+22i
  5. =IMPRODUCT("-6-2i","-1-i") = 4+8i

Related Videos

IMPRODUCT

See Also

References



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