Difference between revisions of "Manuals/calci/IMPRODUCT"

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<div style="font-size:30px">'''IMPRODUCT(Complexnumber1,Complexnumber2)'''</div><br/>
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<div style="font-size:30px">'''IMPRODUCT()'''</div><br/>
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*<math>Complexnumbers</math> are of the form <math>z=a+ib</math>
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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.
 
   
 
   
 
==Description==
 
==Description==
 
*This function gives the product of the complex numbers.  
 
*This function gives the product of the complex numbers.  
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*In <math>IMPRODUCT(Complexnumber1,Complexnumber2)</math>, where  Complexnumbers are  in the form of <math>z=a+ib</math>.  
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*In <math>IMPRODUCT()</math>, where  parameters are  in the form of <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 CALCI we can find the product of 2 to 29 Complex numbers.
 
*In CALCI we can find the product of 2 to 29 Complex numbers.
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*Let <math>z1=a+ib</math> and <math>z2=c+id</math>.
 
*Let <math>z1=a+ib</math> and <math>z2=c+id</math>.
 
*Then the product of two complex number is <math>z1.z2=(a+ib)(c+id)=(ac-bd)+(ad+bc)i</math> .  
 
*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 <math>z1</math> is required. <math>z2,z3,...</math> are optional.  
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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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*We can use [[Manuals/calci/COMPLEX| COMPLEX]]  function to convert real and imaginary number in to a complex number.
  
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==ZOS Section==
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==ZOS==
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*The syntax is to calculate product of the complex numbers in ZOS is <math>IMPRODUCT(Complexnumber1,Complexnumber2)</math>
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*The syntax is to calculate product of the complex numbers in ZOS is <math>IMPRODUCT()</math>
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**<math>Complexnumbers</math> are of the form <math>z=a+ib</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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*For e.g., IMPRODUCT("2+3i","4+5i","8+7i","10-14i")
 
{{#ev:youtube|TWYVYlQWIoc|280|center|Improduct}}
 
{{#ev:youtube|TWYVYlQWIoc|280|center|Improduct}}
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==Related Videos==
 
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{{#ev:youtube|cWn6g8Qqvs4|280|center|IMPRODUCT}}
 
  
 
==Examples==
 
==Examples==
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#=IMPRODUCT("2+3i","4+6i","3+5i") = -150+22i
 
#=IMPRODUCT("2+3i","4+6i","3+5i") = -150+22i
 
#=IMPRODUCT("-6-2i","-1-i") = 4+8i
 
#=IMPRODUCT("-6-2i","-1-i") = 4+8i
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==Related Videos==
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{{#ev:youtube|cWn6g8Qqvs4|280|center|IMPRODUCT}}
  
 
==See Also==
 
==See Also==
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*[http://en.wikipedia.org/wiki/Imaginary_number  Imaginary number]
 
*[http://en.wikipedia.org/wiki/Imaginary_number  Imaginary number]
 
*[http://en.wikipedia.org/wiki/Dot_product  Dot product]
 
*[http://en.wikipedia.org/wiki/Dot_product  Dot product]
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*[[Z_API_Functions | List of Main Z Functions]]
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*[[ Z3 |  Z3 home ]]

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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